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Park D. — Introduction to the Quantum Theory (Pure & Applied Physics) |
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Предметный указатель |
Absorption of radiation 377 398
Accelerated coordinate system 629
Addition of angular momenta, spin plus orbital 189—195
Addition of angular momenta, two spins 185—189
Adiabatic demagnetization 564
Adiabatic transitions 300 563
Admissible functions 222
Alpha decay 433—441
Angular momentum, addition 185—195
Angular momentum, commutation relations 159 161 168
Angular momentum, J scheme 190
Angular momentum, LS scheme 190
Anharmonic oscillator 115 291
Anticommutator 74
Arbitrariness of A and V 250 312 656
Associated Laguerre function 460
Associated Legendre functions 634—637
Band structure 288 444—453
Bohr's microscope 51
Bohr's theory of the hydrogen atom 11—17
Boltzmann distribution 551
Bond, chemical 496—508
Born approximation 328 337 348
Born approximation, validity 337
Bose — Einstein condensation 589—593
Bose — Einstein statistics 418 570
Bound states, number 241
Bound states, origin 25
Bra 142
Center of mass 219 317
Chemical bonding 496—508
Chladni plate 211 269
Cloud chamber tracks 343—346
Coleman — Glashow formula 522
Commutator of two operators 66
Commutator of two operators, identities involving 68
Complementarity 58
Completeness 621
complex numbers 613—617
Compton effect 8
Conductivity 450—453
Configuration space 72
Conservation of energy 66
Constants, physical 661
Continuity, equation 63 651
Coodinate representation 41
Coordinate systems, center-of-mass 317
Coordinate systems, laboratory 317
Correspondence principle 13 113—115 385
Coulomb field, bound states 221—231 455—478
Coulomb field, scattering 316 330 423
Crystal field 277—280
Crystal field, electronic states 278
Current vector 62 95
Curvilinear coordinates 156
De Broglie pronunciation 18
De Broglie waves 18—20 102
Debye specific heat formula 585
Debye temperature 584
Degeneracy 207—216
Degeneracy in quantum statistics 577 598
Degeneracy, accidental 209 216
Degeneracy, removal by a perturbation 211 269 278
Degeneracy, symmetry 209 216
Delta function 91 298 620 622
Demagnetization, adiabatic 564
Density of states 324 378 588
Deuteron 234 358 525
Deuteron, binding energy 235 525
Deuteron, Hulthen potential 239 242 541
Deuteron, photodissociation 535—541
Deuteron, square-well potential 234—238
Diamagnetism 280
Diffraction, electron 18
Diffraction, helium atoms 20
Diffraction, light 4
Dirac equation 62
Dirac notation 140—143
Displacement, electric 650
Displacement, operator 148 150
Double potential well 116—123
effective mass 447 603
Effective-range approximation 356 527
Ehrenfest's theorems 70 247
Eigenfunctions 80 135—140
Eigenstates 79
Eigenvalues 80 126 128
Einstein coefficients 380 427
Electric displacement 650
Electric field, defined 649
Electric field, effect on hydrogen atom 275 292
Electric polarization 650
Electromagnetic field, energy content 653
Electromagnetic field, equations 654
Electrons in a metal 603
Electrons, paramagnetism 608
Electrons, particle nature 10
Electrons, wave nature 17—25
Emission of radiation, forbidden transitions 388 393—398
Emission of radiation, induced 427
Emission of radiation, selection rules 388—398
Emission of radiation, spontaneous 378 427
energy bands 287
Energy, conservation of 66 307
Ensemble averages 550
Ensemble, Canonical 543 557
Ensemble, microcanonical 568
entropy 542 549 572
Equation of continuity 63 651
Equilibrium, thermodynamic 546
Exchange force 122 496
Exclusion principle 417 429 570
Expansion in terms of eigenfunctions 137
expectation values 34—45 64
Expectation values and classical averages 114 134
Expectation values for interacting particle 62
Expectation values, time dependence 64
Fermi level 604
Fermi — Dirac statistics 418 570 596
Field, electric 649
Field, electromagnetic 654
Field, magnetic 247 261 651
Final-state interactions 539
Forces in quantum mechanics 496—512
Forces, dispersion 509
Forces, van der Waals 508—512
Fourier integral 620
Fourier series 618
Free energy (Helmholtz) 550
g factor 254
Gauge 250 312 656
Geiger — Nuttall law 440
Gell-Mann mass formula 519 522
Generating function 131 639 640
Gibbs paradox 553
Golden Rule 300
Group velocity 21 47
gyromagnetic ratio 15 161 170 252 311
Hadron 202
Hamiltonian operator 61
Harmonic functions 638
Heisenberg indeterminacy 50 55 75
Heisenberg scattering theory 361
Heisenberg, W. 1
Helium, excited states 415 489—492
Helium, ground state 414 480—488
Helium, liquid 594
Helium, nuclear motion 492
Helium, spectrum 411 480
Hermite polynomials 131
| Hermitian domain 73
Hermitian operator 70—75 135—157
Hermitian products 74
Hermiticity 73 223
Holes 452
Hydrogen atom 221—231 455—478
Hydrogen atom, energy levels 11—17 461 470
Hydrogen atom, excited states 225
Hydrogen atom, fine structure 463—472
Hydrogen atom, orbital magnetic moment 228 467
Hydrogen atom, radiative transitions 383
Hydrogen atom, Stark effect 275 283 292
Hydrogen atom, Zeeman effect 472—478
Hydrogen molecule-ion 496—507
Hydrogen molecule-ion, binding energy 502
Hyperbolic functions 617
Hypercharge 202 366 513
Ideal gas 551 576
Ideal gas, entropy 553
Ideal gas, equation of state 553 576
Ideal measurements 59 81 88
Identical particles 403—430
Identical particles, scattering 419
Identical particles, wave function 404—411 416
Indeterminacy 47—55 75—79
Insensitivity of thermodynamic functions 561
Interactions, strong 198 202
Interactions, weak 203
Invariance 147
Invariance, Galilean 624—629
Invariance, gauge 250 312
Isospin 196—206 516
Isospin and elementary particles 201—206 366
Isospin and nuclear reactions 200
Isospin, conservation 199 202
Jacobian 499
Ket 142
Lande g factor 254
Laplacian operator in spherical coordinates 631
Larmor precession 14—17 161 281
LCAO approximation 498
Legendre polynomials 635
Legendre polynomials, addition formula 646
Legendre polynomials, associated functions 634
Legendre polynomials, normalized 643
Legendre polynomials, orthogonality relations 640
Legendre polynomials, recurrence relations 639
Legendre polynomials, special values 641
Light, emission from atoms 378—388
Light, particle nature 6
Light, wave nature 3
Lorentz condition 654
Magnetic field 651
Magnetic field, effect on a hydrogen atom 15 472
Magnetic field, electronic motion 247
Magnetic field, gauge transformation 250
Magnetic field, representation by a vector potential 247 654
Magnetic field, Zeeman effect 15 251 255 472
Magnetic flux, quantization 260
Magnetic resonance 182—185
Many-particle systems 217 416
Many-particle systems, wave functions 416
Matrix element 140 286 297 300
Matrix element, operator 140 169
Matter waves 17
Maxwell's equations 5 654
Maxwell's velocity distribution 555
Measurement, ideal 59 81 88
Molecule, diatomic, energy states 243
Moment, electric 283 308
Moment, magnetic 252 309
Momentum operator 41 83
Momentum operator, representation 41
Momentum operator, wave function 39—44
Muonic atom 268 488
Neutron-proton interaction 524—541
Neutron-proton interaction, bound state 234 358
Neutron-proton interaction, effective ranges and scattering lengths 530
Neutron-proton interaction, scattering 358 526—531
Neutron-proton interaction, virtual state 529
Neutrons, scattering by 521—535
Neutrons, scattering by protons 358 526—531
Neutrons, scattering by protons at thermal energies 531
Neutrons, spin 534
Newton's first law 45
Newton's second law 69
Normalization 31 66
Normalization of angular functions 166 643
Normalization of deuteron wave function 238
Normalization of harmonic oscillator wave function 129
Normalization of WKB wave function 112
notations 658
Numbers, complex 613—617
Operators 43
Operators, heimitian 70—75
operators, shift 128 163 539
Optical theorem 340 351 368
Orthogonality of associated Legendre functions 640
Orthogonality of harmonic oscillator wave functions 132
Orthogonality, theorem 135
Orthonormal functions 136
Oscillator, anharmonic 115 291
Oscillator, harmonic algebraic solution 127—132
Oscillator, harmonic algebraic solution in two dimensions 211
Oscillator, harmonic algebraic solution, analytic solution 123—127
Oscillator, harmonic algebraic solution, completeness 622
Oscillator, harmonic algebraic solution, radiation from 381 393
Oscillator, harmonic algebraic solution, table of eigenfunctions 126
Oscillator, harmonic algebraic solution, WKB solution 134
Other solution 457
Parity 151
Parseval's theorem 621
Partition function 548
Partition function, paramagnetic system 556
Paschen — Back effect 473 477
Pauli exclusion principle 417 429
Pauli matrices 174
Pauli quantum statistics 567
Pauli theory of spin paramagnetism 608
Periodic potential, allowed and forbidden energies 444
Periodic potential, effective mass of particle 447
Periodic potential, wave function 442
Perturbation theory 262—308
Perturbation theory, degenerate states 269—282
Perturbation theory, first order 266—282
Perturbation theory, nonstationary states 294—308
Perturbation theory, periodic force 306
Perturbation theory, Schroedinger's 285—289
Perturbation theory, second order 283 289 303
Perturbation theory, stationary states 262—294
Perturbation theory, symmetry 272
Phase shift 349
Phase space 325
phase velocity 20
Phonon 583
photoelectric effect 7 398
Photoelectric effect for deuterons 535—541
Photoelectric effect for hydrogen 398—402
Photon 6—10 425 580
Photon, wave function 32 376 426
Plane waves 24 647
Polarizability, electric 283 292
Polarization of light 5 37 390
Potential, chemical 555 575 589 597
Potential, Coulomb 221 255
Potential, double well 116—123
Potential, grand 574
Potential, harmonic 123
Potential, Hulthen 239 242 541
Potential, periodic 442—450
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