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| Авторизация |
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| Avery J. — Creation and Annihilation Operators |
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| Предметный указатель |
Absorption of a photon 110—115 120 121
Acoustic modes 11 14
Addition theorem for spherical harmonics 90 91
Adiabatic hypothesis 132 133
Adjoint 30 31 45 72 94 116 139 151
Akhiezer, A. I. 159
Anderson, C. D. 151
Anharmonic oscillator 4 172
Anticommutation relations 30 32 34 35 36 49 79 128 185
Antisymmetric many-electron wave functions 30
Antisymmetry 31
Atomic orbital 112 157—161 40—212
Ballhausen, C. J. xii
Band index 9
Berestetskii, V. B. 159
Bessel function 113 180
Bethe, H. A. 159
Bogoliubov — Tyablikov transformation 45 48 139—143
Bogoliubov, N. N xi 45 48 139
Bohr magniton 68
Bohr’s correspondence principle 146 151
Boson commutation relations 41 139 142
Boson Hamiltonian 139—143
Boson normal modes 116
Boson operators 1—25 42 97—103 139-143
Bouman, T. xii
boundary conditions 17 18 19 22 157 180 181
Box-normalized functions 102
Brillouin zone 10 14 15 24
Brillouin’s theorem 39 88
Canonical conjugate 17
Canonically conjugate momenta 20 98
Central field wave functions 156—161 210—212
CHARACTER 72
Charge density 57 100
Charge distribution 57 58
Chemical forces 22
Chronological products 123 126 129—132
Circular dichroism 120 121
circular polarization 106 107 110 111 120 121
Classical equations of motion 17
Classical field 20
Clebsch — Gordan coefficients 58 155 210
Closed shell 55 60 83 94 95 189
Commutation relations 5 20 37 38 41 51 52 55 56 57 59 60 61 62 97 98 175 192—195
Commutation relations for Kramers pair creation operators 92 93
Commutation rules for one- and two-electron operators 37
Commutation rules for spin 51 52
Commutation rules for the orbital angular momentum operator 54 55 60 61 62
Commutation rules for the Spin-orbit coupling operator 56 193—195
Commutator 21 37 46
Complete orthonormal set 36
Completeness relation 19 20 36 185
Composition property 202
Condon — Shortley coefficients 58 59
Condon, E. U. 29 30
Configuration interaction 50 88—92
Conjugate momentum density 20
Conjugate state 6 108
Conservation law 106
Continuous systems 15—22 97—103
Continuum 111 112 119 159
Contractions 129—132 136 137
Cooper pairs 91
Core hamiltonian 29 40 105
Correlated ground state 49
Correlation coefficients 47 50
Correlation energy 88
Cotton — Mouton effect 120
Coulomb potential 157—161
Cross-section 111 112 115 119 120 121
Cross-section for absorption of circularly polarized light 111 120 121
Crystal lattice 8
Crystal-field theory 51—67 163
Cubic crystal 9
Current density 99 100 151 152
Cusachs, L. C. 141
Cut-off frequency 22 25
Cyclic boundary conditions 13 100 109
D-shell 59 78 86 87 193—195
Dahl, J. P. xii
Daughter states 93—95
Degeneracy 78 94
Degrees of freedom 25 97
Density of final states 109 110 112 119
Determinant 28
Differential cross-section 112
Differential cross-section for elastic scattering of a photon 119
Dipole approximation 119 120 154
Dipole moment 46
Dirac equation in a central field 154—157
Dirac Hamiltonian operator 152—154 204- 206 208 209
Dirac velocity operator 100 148 151—154
Dirac, P. A. M., xi 145 151
Dirac’s relativistic wave equation 145—167
Direct lattice vectors 8 9 14
dispersion 25 115—120
Dispersion curve 10 14 24
Double commutator 43
Doubly-excited configurations 35 43 47 50 88—92
d’Alembertian 164 165
Electric dipole radiation 154
Electric quadrupole radiation 154
electromagnetic field 16 25 57 97 106 145 147 148 163—167
Electromagnetic potentials 57 97—103 106 145 147 148
Electron annihilation operators 30
Electron configuration 36
Electron creation operators 30
Electron gas 91
Electron-hole pair 151
Electron-photon interaction 108 115 145
Elementary excitation creation operator 43 46
Emission of a photon 108—111 120
Equations of motion 16
Evolution operator 125
Exchange 28 90 136 165—167
Exchange operator 165—167
Excitation creation and annihilation operators 41 43 47
Excitations from the Hartree-Fock ground state 41
Excited states of many-fermion systems 42 46
expectation value 38
Expectation value of the evolution operator 137
Expectation values of chronological products 134
Faraday effect 120
Fermi energy 41 46
Fermion operators 27—49 71—95
fermions 116 136
Feynman diagrams 115—117 133—137
Feynman, R. F. 116
Feynman-Dyson form of perturbation theory 123—126
Field 17 18 21 98 99
Filled orbital 40
Finite induction 30 132
Fock operator 40
Fourier coefficients 17 102
Fourier transform 112 113 114
Free-electron Dirac equation 149—151 154 204
Free-electron wave functions 91 105 146 149—153
Gauge 106
Gell — Mann, M. 132
Generalized polarizability tensor 119
Green’s function 164
Ground state 41 42 47 88—92 128 129 132 134 136 137 174
Ground state expectation value 42 47
Ground state-excited state matrix elements 47
Ground-state level shift 137
Hamiltonian density 17 20 22 97—103 180
Hamiltonian of a collection of harmonic oscillators 5—11 97—103
Hamiltonian of a continuous system 17 20 21 97—103
Hamiltonian of an electron-phonon system 103—108
| Hamiltonian of an harmonic oscillator 1—3 170
Hansen, Aa. E. xii
Harmonic modes 17 18 19
harmonic oscillator 1 97
Harmonic oscillator Lagrangian 10 17 19 22 182
Hartree — Fock equations 38 39 40 41 88 105 163—167
Hartree — Fock ground state 42 44 47 48 50 88
Hartree — Fock parameter 44
Heisenberg representation 109
High frequencies 22 25
Higher random phase approximation 50
Hilbert space 40
Hole creation and annihilation operators 126—129 134—137
Hydrogenlike wave functions 157—161 211 212
Interaction Hamiltonian 103—106 110
Interaction representation 123 126 128 134
Interelectron interaction 29 40
Intermediate states 115—120
Invariance of Kramers pair creation operators 79 81 82
Inverse transformation 24
Inversion symmetry 59
Ionization 112
Irreducible representation of a group 72 74 81
Jordan, P. xi
Jorgensen, P. 141
Jortner, J. xii
Judd, B. R. xi
Karplus, M. 50
Kerr effect 120
Klein, O. xi
Koopmans’ theorem 38
Kramers pair annihilation operators 81 84 88—95 199
Kramers pairs 76 77 78
Kramers theorem 38 76
Lagrangian 7 19 21 23 97—103 180 182
Lagrangian density 15—21 97—103 179
Lagrangian of a collection of harmonic oscillators 10 19 22 182
Lagrangian of a continuous system 15—21 97—103
Lattice sum 9
Lattice vectors 115
Legendre polynomial 90
Level shifts 132—137 173
Linderberg, J. xi 141
Line-width 111
Linear combination of Slater determinants 40
Linear independence 25 76 149
linear polarization 106 107 110
Linear response function 119
Linked cluster theorem 133—137
Longitudinal potentials 103—106
Lorentz condition 106
Lorentz invariance 145 147 165
Low, F. E. 132
Lowering operator 2 98 192 193
Magnetic dipole radiation 154
Magnetic field 68 148
Many-body perturbation theory 123—137
Many-electron wave functions 27 28 31 55 71—95 127
March, N. H. 137
Mass-weighted coordinates 6 7 10 12
Mass-weighted potential energy matrix 7 8
Matrix elements of one- and two-electron operators 29 54
Maxwell’s equations 106
McCurdy, C. W. 141
McKoy, V. 50
Molecular orbitals 113
Momentum density 17 19
Momentum operator 75 120
N-electron Hamiltonian 29
Negative-energy states 151
Non-relativistic limit 100 147—149 160—163 165—167
Normal coordinates 6 7 9 24 176
Normal mode 14 25 97—103 106 110 174
Normal products 129—132
Normalization 93 100 109 111 142 150 157 158
Normalization of daughter states 93
Normalized lowering operator 3
Number operator 184
Occupation numbers 28 32 127 128 164 184
Octahedral symmetry 59
Ohm, Y. xi
One-electron operator 29 32 36 37 46 51 52 56 57
Optical activity 120 121
Optical modes 11 14
Optical rotatory dispersion 120
Orbital angular momentum 53
Orthonormality relations 19 38 90 102 113 182
Ostlund, N. 50
P-shell 62 78 83 84 94 95
Pair creation operator 79—95
Pair excitation operator 89—92
Pairing 35
Paldus, J. xii
Parent state 82—95
Pauli approximation 160—163
Pauli exclusion principle 32 184
Pauli spin matrices 75
Periodic boundary conditions 9 100 109
Periodic potential 163
periodicity 10 14
Perturbation theory 57 100 109 110 116 118 173
Perturbation theory, Feynman-Dyson form 123—126
Perturbation theory, many-body 123—137
Perturbations of the ground state 133—137
Phase factor 76
Phonon creation and annihilation operators 3 11
Phonon wave number 9 10
Phonon wavelength 25
photoelectric effect 112—115
Photon 108—121
Photon absorption 110—115 116 120 121
Photon emission 108—110 116 120 121
Photon wave number 106 109
Plane wave 106 107 112 201
Poisson’s equation 103
Polarizability tensor 119 120
Polarization 106—109 111 119 201
Positron 151
Primative basis set 66
Projection operator 33 72—74
Quantum electrodynamics 97—121 136
Quasi-bosons 42
Racah parameters 86 87
Radial functions 157—161 211 212
Raimes, S. xii
Raising operator 2 60 98
Random phase approximation 41—50
Reciprocal lattice vectors 9 10 14 115
Relativistic relation between energy and mass 146
Relativistic wave equation 145—167
Representation of a group 72
Rest energy 148
Rowe, D. J. 42
Russell — Saunders states 51 55 66 67 83—86
Salpeter, E. E. 159
Sampanthar, S. S. 137
Scalar potential 99 103 104 148 163
Scattering 115 118 119
Schiff, L. I. xii 180
Schrodinger equation 145 147 148 162
Schrodinger representation 109 123 126
Second quantization xi
Second-order effects in quantum electrodynamics 115—120 136
Second-order relativistic wave equation 147—149
Second-order terms in many-body perturbation theory 125 136 137
Second-order transition 118
Secular equation 9 23 25 64 67 91
Self-adjointness 45
Self-consistant random-phase approximation 50
Seniority 82—95 199
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