332
Index
static self-energy part, 91, 119, 122, 123,
125, 295–299
Separability, 177, 179, 181–186, 188, 189,
214, 215, 245, 253, 255, 262–265
Separate fragment model, 145, 181–186,
188, 189, 217, 264–266
Size-consistency, 145, 157, 177, 181, 190,
217, 263
Slater determinant, 3, 7, 9–11, 13–16, 40
Slater–Condon rules, 3, 9–14, 21, 26–27
Spectral representation, 34–37, 41, 119, 120,
124–128, 136, 144, 148, 149, 195,
197, 205, 228, 277, 297, 314, 318
Spectroscopic factors, 35, 125, 148, 149,
156, 164, 180, 185, 186, 244, 321
Spin-free formulation, 15, 16, 127
Sum rules, 35, 39, 121, 125
dipole (Thomas-Reiche-Kuhn) sum rule,
217, 218, 220, 223, 232, 233
Superoperator formalism, 241, 316–322
binary product, 316, 318, 319
superoperator resolvent, 317, 318, 321
Symmetric group, 4
Symmetrization postulate, 4
T
Tamm-Dancoff Approximation (TDA), 209,
226, 229
Thomas-Reiche-Kuhn (TRK) sum rule, see
Sum rules
Time-Dependent Hartree-Fock (TDHF), see
Random-phase approximation (RPA)
Time-ordering
time-ordered (Goldstone) diagrams, see
Diagrams
time-ordered product, 32, 49–51, 54–55,
62, 64, 65, 67, 197, 282–286, 300
time-ordering (Wick’s) operator, 32, 62,
197, 280, 281
Time representation (of propagators, diagrams), 32, 79–80, 100, 119, 197,
198, 201
Transition amplitudes, 149, 156, 164, 165,
170, 174, 180, 196, 205, 206, 209,
212, 213, 215, 310, 315
Transition moments, 170, 180, 182, 196,
206, 209, 215–219, 223, 229, 231–
233, 235, 244, 251, 254, 261–266,
307, 309
length form, 217, 223, 233
velocity form, 217, 223, 233
Truncation errors, 144, 180, 181, 188, 214,
215, 263, 264, 311
V
Vacuum state, 20, 21
Velocity form, see Transition moments
W
Wick’s operator, see Time-ordering
Wick’s theorem, 61, 62, 64, 65, 71, 200, 284,
286, 301
Index
static self-energy part, 91, 119, 122, 123,
125, 295–299
Separability, 177, 179, 181–186, 188, 189,
214, 215, 245, 253, 255, 262–265
Separate fragment model, 145, 181–186,
188, 189, 217, 264–266
Size-consistency, 145, 157, 177, 181, 190,
217, 263
Slater determinant, 3, 7, 9–11, 13–16, 40
Slater–Condon rules, 3, 9–14, 21, 26–27
Spectral representation, 34–37, 41, 119, 120,
124–128, 136, 144, 148, 149, 195,
197, 205, 228, 277, 297, 314, 318
Spectroscopic factors, 35, 125, 148, 149,
156, 164, 180, 185, 186, 244, 321
Spin-free formulation, 15, 16, 127
Sum rules, 35, 39, 121, 125
dipole (Thomas-Reiche-Kuhn) sum rule,
217, 218, 220, 223, 232, 233
Superoperator formalism, 241, 316–322
binary product, 316, 318, 319
superoperator resolvent, 317, 318, 321
Symmetric group, 4
Symmetrization postulate, 4
T
Tamm-Dancoff Approximation (TDA), 209,
226, 229
Thomas-Reiche-Kuhn (TRK) sum rule, see
Sum rules
Time-Dependent Hartree-Fock (TDHF), see
Random-phase approximation (RPA)
Time-ordering
time-ordered (Goldstone) diagrams, see
Diagrams
time-ordered product, 32, 49–51, 54–55,
62, 64, 65, 67, 197, 282–286, 300
time-ordering (Wick’s) operator, 32, 62,
197, 280, 281
Time representation (of propagators, diagrams), 32, 79–80, 100, 119, 197,
198, 201
Transition amplitudes, 149, 156, 164, 165,
170, 174, 180, 196, 205, 206, 209,
212, 213, 215, 310, 315
Transition moments, 170, 180, 182, 196,
206, 209, 215–219, 223, 229, 231–
233, 235, 244, 251, 254, 261–266,
307, 309
length form, 217, 223, 233
velocity form, 217, 223, 233
Truncation errors, 144, 180, 181, 188, 214,
215, 263, 264, 311
V
Vacuum state, 20, 21
Velocity form, see Transition moments
W
Wick’s operator, see Time-ordering
Wick’s theorem, 61, 62, 64, 65, 71, 200, 284,
286, 301
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