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Rose M.E. — Elementary theory of angular momentum |
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Предметный указатель |
Absorption cross section 162
Adjoint operator 3
Aligned nuclei 161
Alpha-particle emission 176
Angular correlation 31 161 165
Angular correlation, complexity index 175
Angular correlation, description of 165—166
Angular correlation, direction-direction 165
Angular distributions, from oriented nuclei 179
Angular distributions, in cascade transitions 175
Angular distributions, in nuclear reactions 197—201
Angular momentum coupling, for four momenta 188
Angular momentum coupling, for three momenta 107—108
Angular momentum coupling, for two momenta 32—36 (see also j-j coupling and L-S coupling)
Angular momentum, commutation rules 20 24 33 84
Angular momentum, commutation rules for spin 1 102—105
Angular momentum, commutation rules for spin 28 150—156
Angular momentum, commutation rules, commutators 15 23 33 48 82 150
Angular momentum, commutation rules, conservation 85 87—88 139 159
Angular momentum, commutation rules, coupling in nuclear reactions 193
Angular momentum, commutation rules, eigenvalues 22—26 30
Angular momentum, geometric aspects of 30 85
Angular momentum, intrinsic spin 16 19 105
Angular momentum, matrix representation 27—29 89 102- 105
Angular momentum, measurement of 15 31
Angular momentum, multipole moments and 147
Angular momentum, operators 17
Angular momentum, orbital 13 15 18 29 236
Angular momentum, physical interpretation of 29—31
Angular momentum, projection quantum numbers 24 34
Angular momentum, reduced matrix elements 89
Angular momentum, selection rules (see Selection rules)
Arfken, G. B. 114 180
Arima, A. 192
Bateman, H., Manuscript Project 53
Bessel functions 132
Beta decay 119 156 220
Beth, R. A. 31
Bethe, H. A. 166
Biedenharn, L. C. 114 120 147 160 165 170 180 225
Blatt, J. M. 114 120 130
Bleaney alignment 177
Bleaney, B. 177 181
Blin — Stoyle, R. J. 161 212
Bloch, F. 56
Bohr, A. 56 212
Bose statistics 77 204
Breit, G. 166
C-coefficients (see Clebsch-Gordan coefficients)
Calladay, C. S. 43
Cassen, B. 217
Central field 24 150
Change of basis 9
Channel spin 194
Charge exchange 219
Christy, R. 193
Church, E. L. 136
circular polarization 136 175
Classical limit 16 26 29 149
Clebsch — Gordan coefficients 12 32—47
Clebsch — Gordan coefficients, definition 32—37
Clebsch — Gordan coefficients, explicit form 39 40 42—46
Clebsch — Gordan coefficients, m-sum rule 34 38
Clebsch — Gordan coefficients, notation 37
Clebsch — Gordan coefficients, orthogonality relations 34—35
Clebsch — Gordan coefficients, phases 33 35 38 45 46 224
Clebsch — Gordan coefficients, symmetry relations 37—42
Clebsch — Gordan coefficients, tables of 43 224—225
Clebsch — Gordan series 57—58 74
Coester, F. 165
Collective model 56
Completeness 5 17
Condon, E. U. 37 43 78 184 213 217 223
Configuration mixing 212
Correlation function 175
Correspondence principle 29 138
Coulomb field 166 185
Coupled representation 12
Coupling of rotation matrices 58
Coupling of spherical harmonics 61
Creation operators 156 218
de Groot, S. R. 161
de Kronig, R. L. 55
De — Shalit, A. 208
Density matrix 170
Destruction operators 218
Diagonalization 10
Dipole coupling 12 32
Dipole coupling in radiative transitions 90
Dipole moments, electric 92
Dipole moments, magnetic 92—97
Dirac, P. A. M. 11 152
Dual fields 131
Eck, T. G. 92
Eckart, C. 57 85
Edmonds, A. R. 206 210
Ehmde, F. 74 132
Eigenvalue problem 4
Eisenbud, L. 38
electromagnetic field 99 127—131
Euler angles 50
Euler — Maclaurin sum formula 184
Falkoff, D. L. 43 145
Fano, U. 179 192
Feld, B. T. 148
Fermi interaction 220
Fermi statistics 77 205
Finite nuclear size 62
Flowers, B. H. 206 210
Forbidden transitions 62 136 159
Fractional parentage coefficients 206
Fractional parentage coefficients, actor 98
Frauenfelder, H. 165
Gamma radiation 171 196—197
Gamow — Teller interaction 220
Gauge function 129
Gauge transformations 128—129 134
Gaunt, J. A. 61
Goertzel, G. 52
Goldstein, H. 50
Grace, M. A. 161
Gradient formula 124
Greuling, E. 91
Halban, H. 161
Hankel functions 132
Helmholtz equations 130
Hermitian operators 3 24
Hill, E. H. 134
Horie, H. 115 192
Hoyle, M. G. 115 187
Huby, R. 198
Hyperfine coupling 31 177 181
Hypergeometric function 53
Identical particles, j-j coupling 204
Infinitesimal rotation 16 20
interaction energy 11 77 89 145 156 171
Internal conversion 160
Inverse Clebsch — Gordan series 58
Inverse rotation 54
Ishidzu, T. 115
Isobaric spin 218
Isotopic spin 217
Isotropy of space 30
j-j coupling 187 194
Jaccarino, V. 92
Jacobi polynomials 53
Jahn, H. A. 114
Jahnke, E. 74 132
Jauch, J. M. 138 161 165
Jensen, J. H. D. 212
| Kennedy, J. M. 115 187
King, J. G. 92
Konopinski, E. J. 160 220
Kusch, P. 92
L — S coupling 213
Lamb, W. E. 148
Lane, A. M. 203 206
Legendre polynomials 74 239
Legendre polynomials and Racah coefficients 225
Legendre polynomials and spin interactions 149
Lloyd, S. P. 114
Lorentz condition 6 129 130
Magnetic field 11
Magnetic field coupling 11 32
Magnetic field in multipole fields 131 135
Magnetic field, rotation of angular momentum in 56
Majorana, E. 56
Margenau, H. 140
Matrix elements in beta decay 220
Matrix elements in dipole radiation 62
Matrix elements in spin interactions 147—148
Matrix elements in tensor coupling 115—119
Matrix elements in three-particle configurations 211
Matrix notation 9
Matrix representation of angular momentum 27—29 102—105
Matrix representation of irreducible tensors 88 94 115
Matrix representation of rotation operators 48—54
Matsunobu, H. 192
Maxwell field 7
Maxwell field, equations of 127—128
Mayer, M. G. 212
Meshkov, S. 217
Mirror nuclei 221
Mixed transitions 176 185 195 201
Moments, electrostatic 140
Moments, electrostatic for oriented spins 177
Morita, M. 43
Mottelson, B. 56 212
Multiple moments 90 92 140 142
Multipole fields 81 131—135
Multipole fields, definition 131
Multipole fields, duality 131
Multipole fields, parity of 131 133
Multipole fields, selection rules for 139
Multipole fields, tensor representation of 133 135
Multipoles, static 140
Neumann functions 132
Neutron capture 162
Neutron polarization 162
Nuclear alignment 161
Nuclear polarization 162
Nuclear reactions 162 193
Obi, S. 115
Octupole interaction 149
Octupole moments 92
Operators, adjoint 3
Operators, angular momentum (see Angular momentum)
Operators, beta decay 156
Operators, exponential 12
Operators, Hermitian 3 24
Operators, inverse 8 53
Operators, isotopic spin 217
Operators, lowering 25 237
Operators, raising 25 237
Operators, rotation 51
Operators, unitary 12
Oriented nuclei 161
Orthonormal set 5
Osborne, R. 157 220
Parity of multipole fields 139
Parity, C-coefficient 42 47
Parity, selection rules for beta decay 159—160
Parity, selection rules for moments 92
Parity, selection rules for radiation 62 90 139
Particle parameters 173
Pauli spin operators 19 28 67—69
Pauli spinors 11 19 67 154
Perks, M. A. 212
Phase conventions 27
Phase conventions for C-coefficients (see Clebsch-Gordan)
Phase shifts 166 185
Phases for Racah coefficients 110
Phases for rotation matrices 70
Plane waves, multipole expansion 137
Polarization by a magnetic field 56
Polarization of electromagnetic waves 31
Polarized harmonics 145
Polarized nuclei 162
Pound alignment 177
Pound, R. V. 177 181
Poynting vector 131
Projection quantum numbers 24 55 85
Projection quantum numbers, sum rule for 34 86 159
Projection theorems 94—97
Proton capture reactions 196
Quadrupole interaction 91 147—148 177
Quadrupole moment 93 140 161
Quantization axis 48 56
Quantization axis, parallel to propagation vector 137 166—168
Rabi, I. I. 55 56
Racah coefficients 107—115
Racah coefficients, applications of 115—119 123
Racah coefficients, definition of 108
Racah coefficients, geometric representation of coupling 111—112
Racah coefficients, recurrence formula 226
Racah coefficients, repeated parameters 225
Racah coefficients, sum rules 113—114
Racah coefficients, symmetry relations 111 226
Racah coefficients, tables of 114 227
Racah coefficients, triangular rules 111
Racah coefficients, zero area triangle 113
Racah, G. 38 40 41 47 52 76 78 82 107 110 165 213 222 224
Rademacher, H. 55
Radtke, M. G. 43
Rayleigh expansion 91 136
Rayleigh expansion, relativistic electron 167
Recoupling schemes 110 187—188 194- 195
Redlich, M. 206
Reduced matrix elements 85 118—119 154
Reiche, F. 55
Rigid rotator 13 55 88
Rohrlich, F. 138
Rose, M. E. 77 114 127 157 160 161 165 170 180 220
Rosenfeld, L. 217
Rotations in spinor field 67—72
Rotations in vector field 63—67
Rotations, double valuedness 71 233
Rotations, explicit form of matrices 67 234
Rotations, group property 57 228
Rotations, interpretation 14 99
Rotations, matrix representation 48—54 67 72
Rotations, normalization of matrices 75
Rotations, operator form 16
Rotations, relation to unitary group 228
Rotations, symmetry relations 53—54 71
Rotations, unitary property 53
Saito, R. 43
Satchler, G. R. 193
Sato, M. 115
Satten, R. A. 92
Scalar (S) interaction 156
Scalar field 18 81 99
Scalar product 3 80 105
Schiff, L. 150
Schmidt limits 212
Schwartz, C. 208
Schwinger, J. 52 192
Sears, B. J. 43 115 187
Selection rules 88 139
Selection rules for angular momentum 62 90 159
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