CONTENTS PAQE PREFACE CHAPTER I SURVEY OF CLASSICAL MECHANICS SECTION 1. Newton's Equations of Motion ⅲ the Lagrangian Form 10. The Three-dimensional lsotropic Harmonic ()scillator. 16. GeneraIized C00 rdinates. lc. The lnvariance of the Equations of Motion in the Lagra1 ト gian FOH れ . ld. An Example : The lsotropic Harmonic Oscillator in ? 0 愾 r C00 rdinates le. The Conservation of Angular Momentum 2. The Equations of Motion in the Hamiltonian Form 20. Generalized Momenta . 26. The Hamiltonian Function and Equations. 2c. The Hamiltonian Function and the Energy 2d. A General Example. 3. The Emission and Absorption of Radiation. 4. Summary 0f Chapter I. 0 -4 、ー 1 4 4 0 しイ 1 1 1 1 1 1 1 っ 1 っ 1 CHAPTER Ⅱ THE OLD QUANTUM THEORY 5. The Origin of the Old Quantum Theory 5 広 The Postulates of Bohr 56. The Wilson-Sommerfeld Rules of Quantization. 5c. Selection Rules. The Correspondence Prin ciple 6. The Quantization of Simple Systems. 6 佖 . The Harmonic ()scillator. Degenerate States 66. The Rigid Rotator 6c. The Oscillating and Rotating Diatomic MoIecuIe. 6d. The Particle ⅲ a Box . 6e. Diffraction by れ Crystal Lattice 7. The Hydrogen Atom. 7 佖 . SoIution of the Equations of Motion 7 し . AppIication of the Quantum Rules. The Energy Levels. 7c. Description of the Orbits 7d. Spatial Quantiz ation 8. The Decline of the Old Quantum Theory. -0 8 9 0- 0 1 ワ 1 ワ 0 4 、ワひ -0 7 0 っ ~ り 1 0 00 っりつっっ 0 りの 0 り 0 一 4 4 4

CONTENTS CHAPTER lll THE SCHRÖDINGER WAVE EQUATION WITH THE HARMONIC OSCILLATOR AS AN EXAMPLE 9. The Schrödinger Wave Equation 90. The Wave Equation lncluding the Time. 9 し . The AmpIitude Equation 9c. Wave Functions. Discrete and Continuous Sets Of Charac- teristic Energy Values. 9d. The Complex Conjugate Wave Function 重 * ( ェ , の . 10. The PhysicaI lnterpretation of the Wave Functions 10 広平 * ( ェ , の平 ( ェ , の as a ?robability Distribution Function. 10 わ . Stationary States. 10C. Further Physical lnterpretation. Average Values of Dynamical Quantities. 11. The Harmonic Oscillator in Wave Mechanics. 11 佖 . SoIution of the 、 va. ve Equation. 11 し . The Wave Functions for the Harmonic Oscillator and their PhysicaI lnterpretation 11C. MathematicaI Properties 0f the Harmonic Oscillator Wave Functions VI SECTION ? △ G CHAPTER IV THE WAVE EQUATION FOR A SYSTEM OF POINT PARTICLES IN THREE DIMENSIONS 12. The Wave Equation for a System Of POint Particles. 12 広 The Wave Equation lncluding the Time. 12 し . The AmpIitude Equation 12C. The CompIex Conjugate Wave Function 平 * ( ェ 1 ・ 12a. The Physical lnterpretation of the Wave Functions. 13. The Free Particle . 14. The Particle in a BOX 15. The Three-dimensional Harmonic OsciIIator in Cartesian Coordi- nates 16. CurviIinear Coordinates 17. The Three-dirnensional Harmonic OsciIlator ⅲ Cylindrical Coordi- nates ・ 2 ル , の 100 103 105 CHAPTER V THE HYDROGEN ATOM 18. The Solution of the Wave Equation by the P01ynornial Meth0d and the Determination of the Energy Levels 18 佖 . The Separation of the Wave Equation. The Transla- tional Motion 18 し . The Solution of the EquatiOn. 113 . 113 . 117

CO Ⅳ 7 Ⅳ TS 18C. The Solution of the Equation. 18d. The Solution of the 『 Equation. 1 &. The Energy Levels 19. Legendre Functions and Surface Harmonics. 190. The Legendre Functions or Legendre Polynomials. 196. The Associated Legendre Functions. 20. The Laguerre PoIynomials and Associated Laguerre Functions 200. The Laguerre PoIynomials. 206. The Associated Laguerre Polynomials and Functions 21. The Wave Functions for the Hydrogen Atom. 210. Hydrogen-like Wave Functions. 216. The Normal State of the Hydrogen Atom 21C. Discussion of the Hydrogen-Iike RadiaI Wave Functions. SECTION VII PAGE . 118 . 121 . 124 . 125 . 126 . 127 . 129 . 129 . 131 . 132 . 132 . 139 . 142 21a. Discussion of the Dependence of the Wave Functions 0 Ⅱ the AngIes and CHAPTER VI PERTURBATION THEORY 22. Expansions in Series of Orthogonal Functions. 23. First-order Perturbation Theory for a Non-degenerate Level 230. A SimpIe Example : The Perturbed Harmonic ()scillator. 236. An ExampIe : The Normal Helium Atom. 24. First-order Perturbation Theory for a Degenerate Level 146 . 151 . 156 . 1 . 162 . 165 240. An ExampIe : Application of a Perturbation to a Hydrogen Atom . 25. Second-order Perturbation Theory. 250. An Example : The Stark Effect of the PIane Rotator CHAPTER VII . 172 176 177 THE VARIATION METH()D AND OTHER APPROXIMATE METHODS 26. The Variation Method. 26 佖 . The VariationaI lntegral and its Properties. 266. An ExampIe : The Normal State of the Helium Atom 26C. Application of the Variation Method to ()ther states 26a. Linear Variation Functions. 26e. A More GeneraI Variation Method 27. Other Approximate Methods 27 広 A GeneraIized Perturbation Theory. 276. The Wentzel-Kramers-Brillouin Method. 27C. Numerical lntegration. 27d. Approximation by the Use of Difference Equations 27e. An Approximate Second-order Perturbation Treatment . 1 . 1 . 184 . 186 . 186 . 189 . 191 . 191 . 198 201 . 202 4

V111 8 CTIO ド CONTENTS CHAPTER VIII 人 G THE SPINNING ELECTRON AND THE PAULI EXCLUSION PRINCIPLE, WITH A DISCUSSION OF THE HELIUM ATOM 28. The Spinning Electron. 29. The Helium Atom. The Pauli Exclusion PrincipIe 207 . 210 210 29 佖 . 29e. The Configurations 1 s2s and 1 s2 2 舫 . The Consideration of Electron Spin. The Pauli Exclusion Principle. 29C. The Accurate Treatment 0f the NormaI Helium Atom. 29d. Excited States of the Helium Atom. The Polarizffbility of the Normal Helium Atom. CHAPTER IX MANY-ELECTRON ATOMS 32 佖 . Principle of the Method. 32. The Method of the SeIf-consistent Field 316. Variation Treatments Of Other Atoms. 310. The Lithium Atom and Three-electron lons 31. Variati 、 )Ⅱ Treatments for Simple Atoms 30e. Empirical Evaluation of lntegrals. Applications. 30a. Evaluation of lntegrals 30C. 、 actorization and S01ution 0f the Secular Equation. 30 わ . SpatiaI Degeneracy. 300. Exchange Degeneracy. 30. Slater's Treatment of Complex Atoms. 214 221 . 225 . 226 230 . 230 233 235 239 244 246 247 249 . 250 250 32 し . Relation of the SeIf-consistent Field M ethod to the Varia- tion Principle 32C. ResuIts of the Self-consistent Field Meth0d 33. Other Methods for Many-electron Atoms. 33 佖 . Semi-empirical Sets of Screening Constants 336. The Thomas-Fermi StatisticaI Atom CHAPTER X THE ROTATION AND VIBRATION OF MOLECULES 35. The Rotation and Vibration of Diatomic M01ecules 34. The Separation of EIectronic and Nuclear M0tion. . 252 . 254 256 . 256 257 . 263 259 350. The Separation of VariabIes and Solution 0f the Angular 36 し . The Rotation of UnsymmetricaI-top M01ecules. 360. The Rotation of Symmetrical-top Molecules 36. The Rotation of PoIyatomic MoIecules. 35d. A More Accurate Treatment. The Morse Function 35 む . A Simple Potential Function for Diatomic M01ecules 356. The Nature of the Electronic Energy Function. Equations. 264 266 267 271 275 275 2

CO 71 刃Ⅳ 7 SECTION 37. The Vibration of Polyatomic Molecules 370. Normal Coordinates ⅲ Classical Mechanics 37 わ . NormaI Coordinates ⅲ Quantum Mechanics. 38. The Rotation of Mol ecules ⅲ Crystals. CHAPTER XI IX 人 G . 282 282 . 288 . 2 PERTURBATION THEORY INVOLVING THE TIME, THE EMISSION AND ABSORPTION OF RADIATION, AND THE 39. The Treatment of a Time-dependent Perturbation by the Method RESONANCE PHENO MENON of Variation of Constants . 390. A Simple Example 40. The Emission and Absorption of Radiation. 40 佖 . The Einstein Transition ProbabiIities 40 し . The Calculation of the Einstein Transition Probabilities by Perturbation Theory . 40C. Selection Rules and lntensities for the Harmonic Oscillator 306 40a. Selection Rules and lntensities for Surface-harmonic Wave Functions 40e. Selection RuIes and lntensities for the Diatomic Molecule. The Franck-Condon Principle SeIection RuIes and lntensities for the Hydrogen Atom 40 の Even and Odd Electronic States and their Selection Rules. 313 41. 4 明 THE STRUCTURE OF SIMPLE MOLECULES CHAPTER XII 41C. A Further Discussion of Resonance. 41 し . Resonance ⅱ 1 Quantum Mechanics 410. Resonance Mechanics. ′ Resonance Phenomenon 42. The Hydrogen MolecuIe-ion 420. A Very Simple Discussion 426. Other Simple Variation Treatments. 43e. Excited States 0f the Hydrogen MoIecuIe 43a. Comparison with Experiment 43C. The Treatment of James and Coolidge 43 し . Other SimpIe Variation Treatments. 430. The Treatment of HeitIer and London. 43. The Hydrogen MolecuIe 42a. Excited States of the Hydrogen MoIecuIe-ion. 42C. The Separation and Solution of the Wave Equation. . 294 . 296 . 299 . 299 . 302 . 306 . 309 . 312 . 314 . 315 . 318 . 322 . 327 . 327 . 331 . 333 340 . 340 340 345 349 351 . 353 43 /. OsciIIation and R0tation 0f the MoIecule. Ortho and Para Hydrogen. 44. The Helium Molecule-ion Hez+ and the lnteraction of Two Normal . 355 Helium Atoms 440. The Helium Molecule-ion Ⅱ . 358 . 358

CONTENTS SECTION 44 し The lnteraction of Two Normal HeIium Atoms. PAGE . 361 45. The One-electron Bond, the Electron-pair Bond, and the Three- electron Bond. 362 CHAPTER XIII THE STRU CTURE OF COMPLEX MOLECULES 46. Slater's Treatment of Complex M01ecules 366 460. 46a. 46 /. Approximate wave Functions for the System Of Three Hydrogen Atoms. 466. Factoring the Secular Equation. 46C. Reduction of lntegrals. 368 369 . 370 Limiting Cases for the System 0f Three HYdrogen Atoms . 372 46e. GeneraIization of the Meth0d 0f Valence-bond Wave Func tions 374 Resonance among TWO or More Valence-bond Structures . 377 460. The Meaning 0f Chemical Valence Formulas. 46 ん . The Method of M01ecular Orbitals CHAPTER XIV 380 . 381 MISCELLANEOUS APPLICATIONS OF QUANTUM MECHANICS 47. Van der WaaIs Fo rces 470. Van der Waals Forces for Hydrogen Atoms 47 し . Van der Waals Forces for Helium. 47C. The Estimation of Van der Waals Forces from M01ecular Polariz abilities . 48. The Symmetry properties Of M01ecular Wave Functions . 480. Even and Odd Electronic Wave Functions. Selection Rules 3 486. The NucIear Symmetry Character 0f the Electronic Wave Function 48C. Summary Of Results Regarding Symmetrical Diatomic MolecuIes Statistical Quantum Mechanics. Systems in Thermodynamic Equilibrium 490. The Fundamental Theorem 0f Statistical Quantum Me- chanics 496. A Simple Application 49C. The BoItzmann Distribution Law. 49a. Fermi-Dirac and Bose-Einstein Statistics 49e. The Rotational and Vibrational Energy 0f M01ecules 49 /. The Dielectric Constant of a Diatomic DiP01e Gas 50. The Energy of Activation of Chemical Reactions CHAPTER XV GENERAI. T Ⅱ刊 0 Y OF QUANTUM. MECHANICS Matrix Mechanics. 510. Matrices and their Relation to Wave Functions. The Rules of Matrix Algebra. 49. 51. 3 384 . 387 . 387 388 . 391 394 395 . 3 397 399 402 405 408 . 412 416 . 417

CON TEN TS SECTION 516. Diagonal Matrices and Their Physical lnterpreta. tion 52. The Properties of Angu1ar Momentum. 53. The Uncertainty Principle 54. Transformation Theory I. VaIues of Physical Constants. APPENDICES XI PAGE 421 425 . 428 . 432 439 III. VI. VII. VIII. The Greek Alphabet. NormaIization of the Associated Laguerre Functions. NormaIization of the Associated Legendre Functions Exponential Density Functions. INDEX. Ⅱ . Proof that the Orbit of a particle Moving ⅲ a Central Fie1d Lies ⅲ a Plane Proof of Ort hogonality of Wave Functions Corresponding to Different Energy Levels IV. OrthogonaI Curvilinear Coordinate Systems V. The Evaluation of the MutuaI Electrostatic Energy of Two SphericaIly Symmetrical Distributions of Electricity with . 440 . 441 . 443 . 446 . 448 451 . 453 . 455

INDEX Absorption of radiation, 21 , 299 Accessible wave functions, 396 , 397 Action, 25 Action integrals, 29 Activation energy, 412 Adams, . ?. , 1 Adsorption, unactivated, 388 Alkali atom spectra, 加 7 Alternating intensities ⅲ band spec- tra, 356 Amplitude equation, 56 ⅲ three dimensions, 86 Amplitude functions, definitions of 58 Amplitudes of motion, 286 Anderson, C. , 209 Angular momentum, of atoms, 237 conservation of, 11 of diatomic molecules 、 265 of electron spin, 208 0f hydrogen atom, 147 properties of, 425 of symmetrical top molecule, 280 Antisymmetric wave function, defi- nition of, 214 Approximate solution of wave equa- tion, methods of, 191 (See 0 な 0 Wave functions. ) Approximation by difference equa- tions, 202 A. romatic carbon compounds, ener— gies 0f, 379 Associated Laguerre functions, normalization, 451 polynomials, 131 table of, 135 Associated Legendre functions, 127 table of, 134 455 Asymptotic solution Of wave equa- tion, 68 Atanasoff, 工 V. , 228 Atomic energy states, semi-empirical treatment, 244 Atomic terms, Hund's rules for, 246 Atomic wave functions, 250 Atoms, with many electrons, 230 ガ . variation treatments for, 246 Average values, 1 Ⅱ quantum mechan— ics, 89 0f dynamical quantities, 65 of だ for hydrogen atom, 144 Azimuthal quantum number, 120 Bacher, R. F. , 258 Balmer formula, 27 Balmer series, 43 Barth010mé, 刊 . , 310 BartIett, 工Ⅱ . , r. , 254 Beach, J. Y. , 385 Bear, R. S. , 415 Beardsley, N. F. , 249 Benzene, plane structure of, 411 structure of, 378 BeryIIium atom, wave functions for, 249 Bichowsky, R. , 208 Birge, R. T. , 41 , 336 , 439 BIack, M. M. , 254 BIack body, 25 Böcher, M. , 419 Bohr, N. , 26 , 36 , 112 Bohr frequency rule, 27 B0hr magneton, 47 B0hr postulates, 26 B01tzmann distribution law, 3 囲 BoItzmann statistics, 219

456 Bonds, chemical, types 0f, Bond wave functions, 374 Bonhoeffer, K. F. , 358 Born, M. , 49 , 51 , 112 , 260 , 364 , 416 , 417 , 425 , 436 INDEX 362 ByerIy, W. . , 24 Burrau , , 333 , 3 如 Brown, F. W. , 254 Brockway, L. 0. , 379 Brillouin, L., 198 , 412 Brester, C. J. , 2 Bragg equation, 35 Brackett series, 43 Bowen, I. S. , 208 Bose-Einstein statistics, 219 , 402 Bose-Einstein distribution law, 404 Bose, S. N. , 403 Born-Oppenheimer principle, 260 ClassicaI statistics, 219 and high quantum states, 76 mechanics; 198 an approximation tO quantum CIassical mechanics, 2 ガ . 55 Classical expressions, significance 0 Chemical bonds, types of, 362 1 Characteristic values, approxnnate , nition of, 58 Characteristic value equation, de 6- of, 58 Character1stic functions, definition Characteristic energy values, 58 atoms, 230 , 250 CentraI-fieId approximation for 358 Catalysis Of ortho-para converslon, gies of, 379 Carbon compounds, aromatic, ener— variation function for, 249 Carbon atom, tetrahedral, 364 , 377 Canonical set of structures, 375 motion, 16 Canonical form Of equations Of Coeffc ient, of absorption, d efinition of, 3 Of induced emission, definition Of' 38 Of spontaneous Ⅱ 1SS10 Ⅱ ! defini¯ tion of, 3 coeffcients secular equatiOIl for molecule, 376 Commutation rules, 420 Completed shells of electrons, 234 Completeness Of sets Of orthogonal functions , 154 Complex conjugate wave function, 63 , 88 Complex molecules, 366 ガ . Component Of angular momentum, definition of, 12 Compton, A. Ⅱ . , 35 Conditionally periodic systems, defi- nition of , 29 Conditions 0 Ⅱ wave functions , 58 Condon, 刊 . U. , 54 , 82 , 108 , 246 , 258 , 310 , 312 , 432 Configuration, electronic, definition of, 213 Configuration space, definition 0f, 59 Conjugate wave function, complex, 63 Conservation, Of angular momen— tum, 11 Of energy 1 Ⅱ quantum mechanics, Conservative system , definition 0f, 16 Constant Of the motion, definition of, 12 , 422 Continuous sets Of energy levels, 58 Coolidge, A. S. , 188 , 249 , 349 , 3 , 364 , 374 , 415 Coordinates, curvilinear, 103 cyclic, 108 generalized, 6 ignorable, 108 for molecules, 389 normal, definition of, 287 Correspondence prmciple, 29 CouIomb integral, 212 , 371 led harmomc oscillators, 397

ル D 霽 X 457 Courant, R. , 91 , 1 , 157 , 192 , 202 Cross, P. C. , 282 Crystal, diffraction by, 34 CrystaIs, rotation of molecules in, 28 Curvilinear coordinates, 103 CycIic coordinates, 108 Darrow, K. K. , 54 , 芻 , 403 , 412 Darwin, C. G. , 209 , 210 , 432 De Broglie, L., 49 , 93 De Broglie wave length , 35 Debye, P. , 26 , 383 , 408 , 412 Degeneracy, exchange, 230 orbital, 367 spatial, 233 spin, 367 Degenerate energy levels, 73 , 166 Degenerate states, 31 , 100 Degeneration of gases, 405 DeI squared, operator, 85 Dennison, D. M. , 275 , 279 , 293 , 357 Determinants, certain properties of , 174 Determinant-type wave functions, 219 , 232 Dewar, 26 Diagonal form for secular equation, 171 Diagonal matnces, 421 l)iagonal-sum theorem , 239 Diatomic molecule ⅲ 01d quantum theory, 32 rotation and vibration of, 263 selection rules and int ensities fO ら 309 Dickinson, B. N. , 331 Dieke, C. Ⅱ . , 282 DieIectric constant, 408 0f diatomic dipole gas, 408 and polarizability, 227 Difference equations approximating wave equation, 202 DifferentiaI equation for Legendre polynomials, 127 standard form for, 109 Diffraction by a crystal ⅲ 01d quantum theory, 34 D 市 01e interaction, 384 DiPOIe moment, electric, definition of, 303 DiP01e radiation, definition of, 23 Dirac, P. A. M. , 49 , 112 , 209 , 210 , 256 , 294 , 299 , 403 , 417 , 433 , 436 Dirac equations and electron spin, 209 Directed valence, 377 Discrete sets of energy levels, 58 Dissociation energy, of hydrogen molecule, 349 , 352 0f hydrogen molecule-ion, 336 Distribution law, Boltzmann, 399 Doi, S. , 179 Doublets ⅲ alkali atom spectra, 207 Duane, W. , 35 Dunham, J. L., 198 DunkeI, M. , 346 Dunn, C. G. , 254 Eckart, C. , 49 , 1 , 222 , 247 , 275 , 417 Edlén, B. , 225 Ehrenfest, ?. , 36 Eigenfunction, definition of, 58 Eigenwert, definition of, 58 Einstein, A. , 25 , 3 冊 , 403 Eisenhart, L. P. , 105 Eisenschitz , R. , 386 EIectric dipole moment, definition of, 303 Electric moment, of molecules, 411 0f a system , definition of, 23 Electron, spinning, 207 EIectron affinity of hydrogen, 225 Electron densities for atoms, 257 EIectron density for lithium, 249 Electron diffraction by a crystal, 34 Electron distribution for hydrogen molecule-ion, 337 Electron distribution function for lithium , 249 EIectron-pair bond, 362

458 INDßX Electron-pairmg approximation, 374 Electron-spin functions for 214 EIectron-spin quantum number, 208 EIectronic configuration, definition öf, 213 Electronic energy function for dia- tomic molecules, 266 EIectronic energy 0f molecules, 259 Electronic states, even and odd, 313 Electronic wave function for mole- kinetic, definition of, 2 of hydrogen molecule-ion, 336 and the Hamiltonian function, 16 second-order, 176 correction to, first-order, 159 of classical harmonic oscillator, 5 Energy, 0f activation, 412 atoms, 244 Empirical energy integrals Emiss10n of radiation, 21 , 299 Emde, 343 El-Sherbini, M. A. , 179 ElIiptic orbit, equation 0f, 38 cule, 261 for Ericson, A. , 225 Newton's, 2 in Lagrangian form, 8 tonian form, 14 Equations Of motion, ⅲ Hamil- Equation, homogeneo us, 60 Epstein, P. S. , 36 , 179 , 191 cule, 288 vibrational, of polyatomic mole- for symmetrical top molecule, 280 for plane rotator, 177 for harmonic oscillator, 72 for diatomic molecule, 271 , 274 approximate, 1 Energy levels, 58 lowest, upper limit to 181 Energy level, lower limit for, 189 values of, for atoms, 246 of two-electron ions, 225 of resonance m molecules, 378 potential, definition 0f, 2 0f molecules, separation 0f, 259 Ethane molecule, free rotation ⅲ , 280 Eucken, A. , 26 Eulerian angles, 276 Even and odd electronic states, 313 Even and odd states of molecules, 354 Even and odd wave functions for molecules, 390 Exchange degeneracy, 230 integral, 212 , 372 Excited states, of helium atom, 225 0f hydrogen molecule, 353 of hydrogen molecule-ion, 340 and the variation method, 186 Exclusion principle, 214 Expansion, of 1 々 , 241 ⅲ powers of ん , 199 in senes Of 0 れ hogonal functions, 151 Eyring, Ⅱ . , 374 , 376 , 414 Frank, N. Ⅱ . , 275 Franck-Condon principle, 309 Franck, 工 , 310 Fowler, R. Ⅱ . , 412 Fourier series, 153 Formulas, chemical, meaning 380 ture for, 282 FormaIdehyde, rotational fine struc- Forces between molecules, 383 Force constant, definit ion Of, 4 FO rce, generalized, 7 Fock, V. , 252 , 255 Finkelstein, B. N. , 331 intensities in, 356 of rotational bands, alternating trum, 207 Fine structure, 0f hydrogen spec- FieId, self-consistent, 250 ガ . Fermi-Dirac statistics, 219 , 402 Fermi-Dirac distribution law, 403 Fermi, 刊 . , 257 , 403 Farkas, A. , 358 , 414 for an atom, 235 Factoriz ation Of secular equation

INDEX 459 Free particle, Free rotation ⅲ molecules 280 , 290 FrenkeI, 工 , , 437 Frequency, 0f harmomc oscillator, 5 of resonance, 320 Friedrichs, 202 Fues, . , 274 F u nd am ental frequency, definition of, 290 0 factor for electron spin, 208 Geib, K. Ⅱ . , 414 GeneraI solution Of wave 57 GeneraI theory 0f q uantum mechan- ics, 416 ガ . GeneraIized coordinates, 6 Generalized forces, 7 Generalized momenta, definition of 14 GeneraIiz ed perturbation theory, 191 Generaliz ed velocities, 7 Generating function, for associated Laguerre polynomials, 131 for associated Legendre functions, 128 definition of, 77 for Laguerre polynomials, 129 for Legendre polynomials, 126 GentiIe, G. , 361 Ginsburg, N. , 246 Gordon, W. , 209 Goudsmit, S. , 207 , 208 , 213 , 221 , 227 , 237 , 246 , 257 , 258 , 313 Gropper, L., 405 Group, completed, of electrons, 125 definition of, 231 Group theory and molecular vibra- Hamiltonian equations, Half-quantum numbers, 199 Guillemin, V. , 247 , 332 , tions, 290 16 353 HamiItonian form of equations of motion, 14 HamiItonian function, definition of, 16 and the energy, 16 and the wave equation, 54 Hamiltonian operator, 54 Harmonic oscillator, average of が , 161 classical, 4 ⅲ cylindrical coordinates, 105 energy levels f0 r, 72 ⅲ 01d quantum theory, 30 perturbed, 160 selection intensities fO ら 306 three-dimensional, ⅲ Cartesian coordinates, 100 wave functions, properties of, 77 ln wave mechanics, 67 ガ Harmonic oscillators, coupled, 315 397 Harmomcs, surface, 126 Harteck, P. , 358 , 414 Hartree, D. R. , 201 , 224 , 250 , 254 , 255 Hartree, W. , 255 Hassé, Ⅱ . R. , 185 , 228 , 385 , 387 Heat, of activation, 412 Of dissociation, of hydrogen mole- cule, 349 , 352 of hydrogen molecule-ion, 336 Heat capacity, of gases, 408 of solids, 26 Heats of sublimation, 388 Heisenberg, W. , 48 , 112 , 209 , 210 , 226 , 318 , 416 , 417 , 428 , 432 , 437 Heisenberg uncertainty principle, 428 HeitIer, W. , 340 , 361 , 364 Helium , solid , equilibrium distance in, 362 Helium atom , 210 accurate treatments of, 22 excited states of, 225 ionization potential of, 221 normal state Of, by perturbation theory, 162

460 INDEX HeIium atom, polarizability of, 226 resonance ⅲ , 321 , 324 With screemng constant tion, 184 spin functions 0f, 214 stationary states 0f, 220 Helium molecule-ion 358 , 367 Hermite orthogonal functions, Hermite polynomials , 77 , 81 recursion formula for, 71 Hilbert, D. , 91 , 120 , 157 , 192 Hill, 刊 . L., Hiyama, S. , 179 func ー 80 Homogeneous equation, definition of, 60 Homogeneous linear SOlu— tion of, 169 Hooke's forces m molecules, 282 Hooke's law constant, 4 Hooke's potential energy for dia- energy levels of, 42 , 124 electron affinity of, 225 continuous spectrum Of, 125 Hydrogen atom, 112 Hund's rules for atomic terms, 246 Hund, F. , 346 , 381 , 390 Hultgren, R. , 377 Hückel, 刊 . , 346 , 365 , 379 , 381 Houston, W. V. , 221 Horowitz, G. 刊 . , 331 tomic molecules, 267 momentum wave functions 436 normal state of, 139 in 01d quantum theory, 36 ガ . old-quantum-theory orbitS' 43 perturbed, 172 polarizability of, 185 , 198 , 205 selection rules for, 312 solution Of equation, 121 solution Of theta equation, 118 solution Of wave equation, 113 spectrum 0f, 42 Stark effect of, 178 , 195 Hydrogen atoms, three, 368 , 414 limiting cases for, 372 wave functions for, 368 Van derWaals forces for, 384 of, Hydrogen chloride, abso rption band of, 33 Hydrogenlike radial wave functions, discussion of, 142 Hydrogenlike wave functions, 132 discussion of angular part 0f, 146 Hydrogen molecule, 340 ガ . excited states of, 353 Hydrogen molecule-ion, 327 . Hydrogen spectrum, fine structure of, 207 Hydrogen sulfide, rotational fine structure for, 282 Hylleraas, 刊 . A. , 222 , 225 , 226 , 335 , 337 , 340 , 353 , 436 Hypergeometric equation, 278 ldentity operation, definition of, 231 lgnorable coordinates, 108 lndependent sets Of wave functions, 216 lndex of refraction and polariz abil- ity, 227 lndicial equation, 109 lnduced emission, 3 lnfinite determinants, solution of, 339 lnfinity catastrophe, 60 lnglis, D. R. , 246 molecule, 349 lnteratomic distance in hydrogen 373 Of hydrogen atom and molecule• lnteraction, 0f helium atom s, 361 tion s, 306 for surface—harmonic wave func- for harmonic oscillator, 306 309 lntensities, for diatomic m olecule, functions, 239 involving determinant-typ e wave culations, 370 involved ⅲ molecular-energy cal- lntegrals, energy, for atoms, 239 lngman, A. L., 224

IN DEX 461 lnterchange integrals, definition of, 212 lnvanance Of equations 0f motion, 7 lnverse permutation, definition of 231 lonic co ntribution to bonds, 364 lonic structures for hydrogen mole- cule, 345 loniz ation energy of two-electron ions, 225 lonization potential for helium, 221 loniz ation potential for lithium , 247 425 , 433 , 436 Jordan, P. , 49 , 112 , 209 , 416 , 417 , Johnson, M. Ⅱ . , Jr. , 246 J0hnson, M. , 275 Jeans, J. Ⅱ . , 24 , 241 353 , 362 , 374 , 415 , James, Ⅱ . M. , 188 , 249 , 333 , 349 , Jahnke, 刊 . , 343 Ja 6 , G. , 335 , 340 Keesom, W. Ⅱ . , 383 Karman, T. von, 26 lttmann, G. P. , 282 lslands, 376 lshida, Y. , 179 Kirkwood, J. G. , 191 , 228 , 385 , radiation of, 314 Kinetic energy, definition of, 2 KimbaIl, G. . , 203 , 376 , 415 Kepler's area law, 37 Kennard, . Ⅱ . , 432 Kemble, 刊 . C. , 83 , 353 KelIner, G. W. 222 Kekulé structures, resonance of, 378 387 Kistiakowsky, G. B. , 282 Klein, 0. , 282 K0hlrausch, K. '. 乢 , 293 Kramers, Ⅱ . A. , 198 , 282 Kronig, R. de L., 276 , 293 , 3 La Coste, L. J. B. , 2 Lagrange's equations Of motion, 8 Lagrangian function, definition Of, 3 Laguerre polynomials, 129 A-type doubling, 3 Landé, A. , 208 0 factor for electron spin, 208 Langevin, P. , 412 Laplace operator, ⅲ Cartesian coor- dinates, 85 in curvilinear coordinates, 104 Legendre functions, 125 Lennard-Jones, J. . , 191 , 206 , 2 , 340 , 381 , 388 Lewis, G. N. , 340 , 377 Lewy, Ⅱ . , 202 Light (see Radiation) Linear combinations and resonance, 320 Linear independence 0f wave func— tions, definition of, 166 Lin. ear momentum, average, Of elec— tron in hydrogen atom, 146 Linear variation functions, 186 Lithium atom, electron distribution function for, 249 wave functions for, 247 London, F. , 340 , 361 , 364 , 383 , 386 , 387 , 388 , 413 Loney, S. L., 24 Lyman, T. , 222 Lyman series, 43 MacDonald, J. K. L., 188 , 189 , 353 McDougall, 工 , 254 MacMiIIan, W. D. , 24 Magnetic moment, 412 0f electron spin, 208 0f hydrogen atom, 147 orbital, 47 Magnetic quantum number, 40 , 117 Magnetic susceptibility, 412 Magneton, Bohr, 47 Majorana, . , 353 , 359

462 Mayer, M. G. , 229 Mayer, 工 . , 229 Maximal measurement, 422 Matrix mechanics, 416 . Matrix algebra, 417 Matrices, 417 . Matossi, F. , 293 Margenau, Ⅱ . , 386 , 387 Many-electron atoms, 230 . INDEX Measurements, prediction Of results of, 66 Mecke, R. , 282 MiIIikan, R. A. , 208 Modes of vibration of molecules , 287 MoIe refraction, definition of, 227 Molecular energy levels, 259 Molecular orbitals, 346 method of, 381 MoIecular wave functions, metry properties of, 388 Molecule, diatomic, selection and intensities of, 309 Molecules, complex, 366 . SY m- rules diatomic, rotation and vibration of, 263 polyatomic, rotation 0f, 275 vibration of, 282 quantum number A ⅲ , 390 Moment of inertia, 269 , 275 Momenta, generaliz ed , definition of, 14 Momentum, angular, conservation of, 11 average linear, Of electron hydrogen atom, 146 operator, 54 Momentum wave functions, 436 Morse, P. M. , 54 , 82 , 108 , 249 , 272 , 312 , 340 , 437 function for diatomic molecules, 271 Mott, N. F. , Mulliken, R. S. , 346 , 381 MuItiplication of permutations, defi- nition of, 231 Multiplicity of atomic terms , 220 01d quantum theory, as an a pproxi- mation tO mechanics, 198 decline of, 48 One-eIectron bond, 362 Operator, for Hamiltonian, 54 for momentum, 54 Operators for dynamical quantities, 66 Oppenheimer, 工 R. , 260 Orbit, classical, of three-dimen- sional oscillator, 11 OrbitaI, definition of, 137 Orbital degeneracy, 367 OrbitaIs, molecular, 381 Orbits, significance Of, in quantum mechanics, 141 Ortho helium, 221 Orth0 hydrogen, 357 , 408 Orthogonal curvilinear coordinate systems, 441 Orthogonal functions , a convenient set of, 195 Negative states, 392 Nernst, W. , 26 Neumann, 工 v. , 437 Newton's equations, 2 NieIsen, Ⅱ . Ⅱ . , 280 , 282 Niessen, K. F. , 327 Non-degenerate energy levels, defini- tion of, 73 Normal coordinates, 282 mode of vibration of, definition of, 287 NormaIiz ation, of amplitude func- tions, 89 of wave functions, 64 fo. ェ a continuum, 92 Nuclear spin for hydrogen, 357 Nuclear symmetry of electronic wave functions for molecules, 391 . N ・ uclear function for molecule, 263 Numerical integration, 201 0

INDEX 463 Orthogonal functions , expanslons in terms of, 151 Orthogonal transformation defini- tion of, 288 ()rthogonality of wave functions, 64 , 89 , 441 Oscillation of molecules ⅲ crystals, 292 Oscillator, classical , in polar C00 r- dinates, 9 classical harmonic , 4 harmonic III cylindrical coor— dinates, 105 ⅲ 01d quantum theory, 30 perturbed, 160 three—dimensional, in Cartesian coordinates, 100 1 Ⅱ wave mechanics, 67 . one—dimensional classical, 5 Para hydrogen, 357 , 408 Parhelium, 221 Particle, ⅲれ box, 95 ⅲ field-free space , 90 ⅲ old quanturn theory, 33 Paschen, F. , 222 Paschen series, 43 Pauli, W. , 58 , 112 , 209 , 210 , 219 , 312 , 327 , 403 theory Of. 15 definition of. 156 29 ・ perturbation, as cause Of transitions, tion of, 231 Permutations, even and odd, defini- Permutation operato r, 231 Penney, W. G. , 379 intO non—classical region, 75 Penetration, of the core, 213 Pelzer, Ⅱ . , 414 Pekeris, C. L. , 272 385 , 436 347 , 359 , 362 , 364 , 365 , 376 , 379 , Pauling, L., 227 , 256 , 257 , 2 , 327 , exclusion principle for protons, 357 ?erturba tion, theory of, first-order for a degenerate level, 165 for non-degenerate levels, 1 generalized, 191 involving the time, 294 立 . second-order, 176 approximate, 204 Ph ase integrals in quantum m echan- ics, 2 ( 用 Phases of motion, 286 Photochemistry, 26 Photoelectric effect, 25 Photon, 25 Physical constants, values of, 439 Physical interpretation, of harmomc oscillator functions, 73 of wave equation, 298 of wave functions, 63 , 88 Pike, H. Ⅱ . M. , 2 開 PIaczek, G. , 290 , 293 PIanck, M. , 25 Planck's constant, 25 PIanck's radiation law, 301 PIane rotator, Stark effect of, 177 Podolanski, J. , 385 Podolsky, B. , 276 , 436 Polanyi, 、 I. , 374 , 388 , 414 PoIar coordinates, spherical, 9 PoIarizability, and dielectric con- stant, 227 of helium atom , 226 of hydrogen atom, 185 , 198 , 205 and index of refraction, 227 0f plane rotator, 178 and van der WaaIs forces, 387 P01arization, of emitted light, 308 0f a gas, 227 PoIarization energy, of hydrogen molecule, 349 of hydrogen molecule-ion, 332 P01ynomial method of solving wave equation, 68 Positive states, 392 PostuIates of wave mechanics, addi- tional, 298 Postulatory basis of physics, 52 Potential energy, average , for hydro- gen atom, 146

464 INDEX Potenti81 energy, definition Of, 2 Potential function for diatomic molecules, 267 Power-senes method Of solving wave equation, 69 Present, R. D. , 353 Principal axes Of inertia, definition of, 275 Probability, of distribution func- tions, 63 Of stationary states, 298 of transition, 299 Proper functions, definition of, 58 Properties of wave functions, 58 Quadratic form, mrmmization 0f, 203 Quadrupole interaction, 384 Quad rupole moment , definition Of, 23 Quantization, rules 0f, 28 spatial, 45 Quantum Of energy, 25 Quantum number, azimuthal, 40 , 120 electron-spin, 208 人ⅲ molecules, 39() magnetic, 40 , 117 orbital angular momentum radial, 124 rotational, 33 spin for atoms, 237 total, 41 , 124 Quantum numbers, 87 , 124 half-integral, 48 lll wave mechanics, 62 , 237 Quantum statistical mechanics, 219 , 395 . Quantum theory, history 0f, 25 01d , 25 . Quantum weight, definition of, 100 Rabi, I. I. , 276 Rademacher, Ⅱ .. 276 Radial distribution function for hydrogen atom, 140 RadiaI quantum number, 124 Radiation, emisslon and absorption of, 21 , 299 Of kinetic energy, 314 Planck's law of, 301 Rate of chemical reactions, 412 Reaction rates, 412 Recursion formula, definition of, 70 for Hermite polynomials, 71 for Legendre polynomials, 126 Reduced mass, 18 , 37 Regular point , definition 0f, 109 Reiche, F. , 276 ReIativistic change Of mass Of electron, 209 Relativistic doublets, 209 Representation, 423 Repulsion of helium atoms, 361 Repulsive states Of hydrogen m01- ecule, 354 Resonance, among bond structures, 377 classical, 315 denominator, 304 energy, 321 frequency of, 320 ⅲ the hydrogen molecule-ion, 330 , 332 integrals, definition of, 212 phenomenon, 214 quantum-mechanical, 314 , 318 Restrictions 0 Ⅱ wave functions, 58 Richardson, 0. W. 336 Richardson, R. G. D. , 202 Rigid rotator, wave functions for, 271 Ritz combination principle, 27 Ritz method of solution, 189 Ritz variation method, 189 Robertson, Ⅱ . P. , 105 , 432 Robinson, G. , 201 Rosen, N. , 332 , 349 R0tation, of diatomic molecules, 263 Of molecules ⅲ crystals, 290 Of polyatomic molecules, 275 Rotational energy 0f molecules, 259

INDEX 465 Rotational levels, allowed, 392 R0tational quantu m number, 33 Rotational and vibrational energy 0f molecules, 405 Rotational wave functions, sym- metry of, 355 Rotator, plane , Stark effect of, 177 Rydberg constant, 41 Rutherford atom, 26 Russell-Saunders coupling, 238 RummeI, K. W. 358 Rumer, G. , 365 , 375 255 R. ubidium ion, 、 functions 292 , 312 , 420 , 432 , 437 Ruark, A. . , 49 , 54 , 83 , 92 , 258 , ⅲ 01d quantum theory, 31 rigid, 271 wave equation Of, 177 Schrödinger, 刊っ 49 ガ . Schaefer, A. , 293 Sachsse, Ⅱ . , 358 for, for even and Odd ・ wave functions, ecules, 266 , 309 SeIection rules, for diatomic m01- 171 SecuIar perturbation, definition of, ⅲ vibration problems, 286 and variation m eth od, 188 sum of roots of, 239 numerical solution of, 188 for molecules, factoring , 369 factoring, 173 definition of, 171 SecuIar equation, for atoms, 23 「 approximate, 204 Second-order perturbation theory, for helium , 185 Screemng constants, for atoms, 256 53 wave function including the time, wave equation , 50 equation in three dimensions, 84 ガ . 313 , 3 Selection rules, for the harmonic oscillator, 306 of old quantum .theory, 29 for surface—harmomc wave func— tions, 306 Self-consistent field, method of, 2 立 . and the vari ation metho d , 252 Separation, Of electronic and nuclear motion in molecules, 259 of hydrogen molecule-ion equa- tion , 333 of variables, 56 , With curvilinear coordinates , 105 0f wave equation, 113 Series of orthogonal functions, 151 SheIIs of electrons, completed, 234 in lithium atom, 248 Sherman, A. , 415 Sherman, , 365 , 379 ShortIey, G. Ⅱ . , 203 , 246 , 258 Single-electron wave functions, 254 use of, 231 Singlet states, 214 , 220 Singularity, definition of , 109 Size of the hydrogen atom, 140 Slater, 工 C. , 191 , 221 , 222 , 228 , 230 , 233 , 252 , 254 , 256 , 275 , 294 , 299 , 348 , 361 , 364 , 366 , 377 , 387 , 403 Slater's ak's and bk's, table of, 243 , 245 Smith, J. P. , 226 Smyth, C. P. , 412 Solution, of の equation, 117 Of secular equation for atom, 235 Of wave equation, approximate, 180 by expanslon in series , 191 SommerfeId, A. , 28 , 36 , 41 , 49 , 68 , 82 , 92 , 112 , 125 , 155 , 207 , 209 , for molecules. 354 , 237 , 314 Spectroscopic nomenclature, Spatial quantiz ation, 45 Spatial degeneracy, 233 403 , 437

466 INDEX Spectroscop1() symbols, explanation of, 137 Speed 0f electron ⅲ hydrogen atom, 146 Spherical top , 276 Spherical polar coordinates, 9 Spin, 0f deuterons, 357 nuclear, for hydrogen, 357 0f protons, 357 Spin degeneracy, 367 Spin functions for helium atom, 214 Spin wave functions for many—elec— tron atoms, 232 Spinning electron, 207 Spontaneous emisslon , 3 Ⅸ ) Standing waves, 93 Stark effect, of helium, 227 of hydrogen atom, 178 れ . , 195 0f plane rotator, 177 Sta tionary states, 27 1 Ⅱ quantum mechanics, 64 Statistical atom model, 257 StatisticaI mechanics, 219 , 395 . Statistical quantum mechamcs, 39 . Statistics, 395 . Stern, T. . , 2 開 , 291 Sterne, T. . , 412 Stoner, 刊 . C. , 412 StructuraI formulas, meamng 0f, 380 Structure 0f simple molecules, 326 ガ . Stueckelberg, 刊 . C. G. , 340 Sturm-LiouviIIe differential equa- tion, 192 Subgroup, completed, 0f electrons, 125 Sugiura, Y. , 343 Sum of roots 0f seculor equation, 239 Sun, C. E. , 415 Surface—harmomc functions, selection rules and intensities, Surface harmonics , 126 Symb01s for atomic terms, 220 Symmetnc wave function , definition of, 214 Symmetrical top, 275 Symmetry of hydrogen-molecule wave functions, 355 Symmetry character, of deuterons, 357 of nuclei, 355 0f protons, 357 Of wave functions for molecules, 391 Symmetry properties Of molecular wave functions, 388 Teller, 刊 . , 290, 293 , 340 Term symbols, 220 for hydrogen molecule, 354 for molecules, 390 Term values, 28 Tesseral harmonics, 126 Tetrahedral carbon atom, 364 , 377 Tetramethylmethane, free rotation ⅲ , 280 Theorem regarding vanishing Of coefficients in Taylor series, 158 Thomas, L. Ⅱ . , 257 Thomas-Fermi atom, 257 Three-electron bond, 359 , 362 Three-electron ions, 247 Time-dependent perturbations, 29 ・ Tolman, R. C. , 24 , 412 Torrance, C. C. , 254 Transformation, Of coordinates, 104 of derivatives, 6 orthogonal, definition of, 288 theory, 432 6 , Transition points ⅲ crystals, 292 Transition probabilities , 299 between 0dd and even rotation8J levels ⅲ hydrogen, 357 between singlet and triplet 220 TransIationa1 motion, 113 TripIet states, 214 , 220 Two-eIectron atoms, by perturbation theory, 162 and io , observed euergies, 225

ーⅣの X 467 TWO ・ electron 10n も lomzation energy of, 225 Ufford, C. W. , 246 IJhIenbeck, G. 刊 . , 208 , 405 Uncertainty principle, 428 Undheim, B. , 226 Unit matrix, 420 Unsöld, A. , 150 , 164 , 209 , 222 , 226 Unsöld's theorem, 150 Unsymmetrical-top molecules, 280 Urey, Ⅱ . C. , 49 , 54 , 83 , 92 , 208 , 258 , 292 , 312 , 420 , 432 , 437 Valence bonds, types of, 362 Valence-bond wave functions, 346 , 374 Valence formulas, meaning of, 380 Van dei Waals forces, 383 for atoms and molecules, 387 ⅲ helium , 387 ⅲ hydrogen, 384 Van VIeck, J. Ⅱ . , 256 , 275 , 364 , 377 , 39(), 411 , 412 Variation constants, method of, 29 ザ . Variation function, 181 crrterion for accuracy, 182 for helium, 221 , 225 linear, 186 possible, 206 Variation integral, 180 Variation method, 180 application tO excited states, 186 relation to perturbation theory, 183 and the self-consistent field, 252 Variation problem , equivalent to wave equation, 189 Variation treatments, of atoms, 246 of hydrogen molecule, 345 of hydrogen molecule-ion, 331 Vector model for atoms, 221 , 237 , 256 VeIocities, generalized, 7 for molecules, 259 hydrogenlike, 132 for hydrogen molecule-ion, 327 立 for hydrogen molec ⅲら . 340 ガ . for helium, 224 , 225 for harmonic oscillator, 73 for electron spin, 210 determinant-type, 219 for degenerate level, 166 correct zeroth-order, 167 for atoms, 246 , 250 Wave functions, approximate, 180 unperturbed, definition of, 157 for a given structure, 375 升 t -0 rder, 160 definition of, 58 63 , 88 Wave function, complex conjugate, of, 156 for unperturbed system, definition ⅲ three dimensions, 84 . polynomial method of solving, 68 for plane rotator, 177 including the time, 53 , 85 fo ァ harmonic oscillator, 68 54 and the Hamil toman function, asymptotic solution Of, 68 Wave equation, 50 Water molecule, treatment of, 364 282 Water, rotational fine structure of, Wasastjerna, J. A. , 257 WaIIer, I. , 179 Wang, S. C. , 282 , 345 , 386 dinates, 104 、一 olume element in curvilinear coor— 146 ViriaI theorem for hydrogen atom , Vib rational energy of molecules, 259 molecule, 349 Vibration frequency ⅲ hydrogen of polyatomic molecules, 282 Vibration, of diatomic molecules, 263

468 INDEX Wave functions, physical interpreta- tion of, 63 , 88 for plane rotator, 177 propelåies Of satisfactory, 58 for symmetrical-top molecules' 2 vibrational, 0f polyatomic m01- ecule, 288 Wave length, 0f electron, 35 0f free particle, 93 Wavelike character 0f electron, 93 Waves, standing, 93 Weigert, K. , 2 Weight, quantum, definition Of' 100 Weight factor, definition 0f, 192 Weights Of rotational states Of hydrogen moleculey 357 Weinbaum, S. , 346 , 360 Weinstein, D. Ⅱ . , 189 Weizel, W. , 292 WentzeI, G. , 179 , 198 WentzeI-Kramers-BriIIouin approxi- mate method, 198 WeyI, A. , 437 Wheland, G. W. , 365 , 379 , 382 White, Ⅱ . . , 257 Whittaker, 刊 . T. , 24 , 109 , 201 , 280 , 2 ( 55730 ) Wigner, 刊 . , 2 , 3 , 3 , 414 W 0 Ⅱ , A. Ⅱ . , 291 ・ Wilson, 刊 . B. , Jr. , 247 , 2 WiIson, W. , 28 Wilson-Sommerfeld rules of quan- tization, 28 Witmer, 刊 . 刊 . , 282 , 390 X-ray diffraction by a crystal, 34 Young, L. A. , 249 degenerate level, 166 Zeroth-order wave functions for a tion, 62 zeros Of one—dimentional ・ Zero-point energy, definition of' 72 Zero of a function, definition 0f, 62 Zener, C. , 247 , 249 , 332 , 353 anomal ous , 209 Zeeman effect, 47 4

1 INTRODUCTION TO QUANTUM MECIIANICS ー″んノ盟ん c 住〃 0 れ s C ん e 襯なケ BY LINUS PAULING, PH. D. , Sc. D. Professor 可 C ん e 襯 t , C 記ゾ 0 れ 1 れ就 e 0 / Tec ん叩 4 AND . BRIGHT WILSON, 3 , PH. D. ス 880C 観 e ~ 0 / を 880r 可 C ん e 襯け , ″ a の ard U れを ~ e ア 8 リ INTERNATIONAL STUDENT EDITION MCGRAW-HILL BOOK COMPANY, INC. NEW YORK ST. LOUIS SAN FRANCISCO LONDON MEXICO PANAMA SYDNEY TORONTO KöGAKUSHA COMPANY, LTD. TOKYO