502
Index
Newton completeness relation, 82, 88, 89, 106,
111, 185
Newton method, 66
Newton-Raphson method, 284
No-core Gamow shell model, 370, 373, 380
No-core shell model, 368
No-core shell model with continuum, 368, 370,
402
Non-Hermitian effective Hamiltonian, 6, 402
Non-Hermitian quantum mechanics, 6
Non-local coupling potentials, 455
Non-local potentials, 110, 254, 409
Nonlocal Schrödinger equation, 110
Non-Markovian equations of motion, 2
Non-resonant channels, 475
Normalization of Gamow states, 82, 98, 191
O
Off-diagonal method, 117, 121
One-body completeness relation, 88
One-body Hamiltonian, 15
Open quantum system, 2, 6, 7, 402
Optical model, 5, 65
Optical potential, 403
Orthogonality condition model, 199
Orthogonality of Gamow states, 98
Orthogonalization condition model, 429
Orthogonalisation of target-projectile channels,
450
Orthonormalization of scattering states, 82
Outgoing Coulomb wave function, 23, 319
Overlap function, 333, 335
Overlap method, 205, 224
P
Pairing anti-halo effect, 330
Pairing correlations, 266, 329, 347
Parseval equality, 458
Partial decay width, 335
Partial wave decomposition, 415
Particle number operator, 283
Particle-rotor model, 158–160, 173, 174
Pauli blocking, 167
Pauli-forbidden states, 267
Pauli principle, 406
Penalty function, 228, 255
Phase shift, 473
Phase shift of scattering state, 59
Photon polarization, 419
Picard method, 18, 69
Plane waves basis, 431
Point-canonical transformation, 17
Point-particle Coulomb potential, 15
Pole approximation, 205, 347
Poles of scattering matrix, 59
Pöschl-Teller-Ginocchio potential, 15, 31, 35,
116, 141
Pöschl-Teller-Ginocchio wave function, 36
Projectile energy, 417, 421
Projectile state, 425
Projectile wave function, 426
Pseudo-potential, 161, 176
Q
Q-box method, 391
QL algorithm, 128
Quadrupolar anions, 158, 162, 167
Quantum decoherence, 2, 7
Quantum dissipation, 2
Quantum environment, 2, 5, 7
R
Radial overlap integral, 334, 381
Radial Schrödinger equation, 15
Radiative capture cross section, 402, 405, 418,
443, 449
Rational Gaudin model, 276
Raynal–Revai coefficients, 268, 426
Reaction channels in Berggren basis, 411
Reaction cross-section, 46
Real-energy scattering states, 7
Rearrangement phase, 436
Recoil correction, 202
Recoil term, 198, 199, 351
Regular Airy function, 30
Regular Coulomb function, 22, 26, 57, 121,
415
Relative coordinates, 21, 202, 443
Reordering phase, 425
Resonance solutions of coupled-channel
equations, 456
Resonance state, 38, 60, 62, 103, 163, 169, 189,
195, 254, 471
Resonance wave function, 6, 167, 333
Resonance width, 66
Resonating group method, 403, 435
Ricatti–Bessel function, 420
Richardson model, 276
Riemann-Lebesgue lemma, 83
Riesz representation theorem, 81, 186
Rigged Hilbert space, 5, 6, 186
R-matrix, 336, 379
Index
Newton completeness relation, 82, 88, 89, 106,
111, 185
Newton method, 66
Newton-Raphson method, 284
No-core Gamow shell model, 370, 373, 380
No-core shell model, 368
No-core shell model with continuum, 368, 370,
402
Non-Hermitian effective Hamiltonian, 6, 402
Non-Hermitian quantum mechanics, 6
Non-local coupling potentials, 455
Non-local potentials, 110, 254, 409
Nonlocal Schrödinger equation, 110
Non-Markovian equations of motion, 2
Non-resonant channels, 475
Normalization of Gamow states, 82, 98, 191
O
Off-diagonal method, 117, 121
One-body completeness relation, 88
One-body Hamiltonian, 15
Open quantum system, 2, 6, 7, 402
Optical model, 5, 65
Optical potential, 403
Orthogonality condition model, 199
Orthogonality of Gamow states, 98
Orthogonalization condition model, 429
Orthogonalisation of target-projectile channels,
450
Orthonormalization of scattering states, 82
Outgoing Coulomb wave function, 23, 319
Overlap function, 333, 335
Overlap method, 205, 224
P
Pairing anti-halo effect, 330
Pairing correlations, 266, 329, 347
Parseval equality, 458
Partial decay width, 335
Partial wave decomposition, 415
Particle number operator, 283
Particle-rotor model, 158–160, 173, 174
Pauli blocking, 167
Pauli-forbidden states, 267
Pauli principle, 406
Penalty function, 228, 255
Phase shift, 473
Phase shift of scattering state, 59
Photon polarization, 419
Picard method, 18, 69
Plane waves basis, 431
Point-canonical transformation, 17
Point-particle Coulomb potential, 15
Pole approximation, 205, 347
Poles of scattering matrix, 59
Pöschl-Teller-Ginocchio potential, 15, 31, 35,
116, 141
Pöschl-Teller-Ginocchio wave function, 36
Projectile energy, 417, 421
Projectile state, 425
Projectile wave function, 426
Pseudo-potential, 161, 176
Q
Q-box method, 391
QL algorithm, 128
Quadrupolar anions, 158, 162, 167
Quantum decoherence, 2, 7
Quantum dissipation, 2
Quantum environment, 2, 5, 7
R
Radial overlap integral, 334, 381
Radial Schrödinger equation, 15
Radiative capture cross section, 402, 405, 418,
443, 449
Rational Gaudin model, 276
Raynal–Revai coefficients, 268, 426
Reaction channels in Berggren basis, 411
Reaction cross-section, 46
Real-energy scattering states, 7
Rearrangement phase, 436
Recoil correction, 202
Recoil term, 198, 199, 351
Regular Airy function, 30
Regular Coulomb function, 22, 26, 57, 121,
415
Relative coordinates, 21, 202, 443
Reordering phase, 425
Resonance solutions of coupled-channel
equations, 456
Resonance state, 38, 60, 62, 103, 163, 169, 189,
195, 254, 471
Resonance wave function, 6, 167, 333
Resonance width, 66
Resonating group method, 403, 435
Ricatti–Bessel function, 420
Richardson model, 276
Riemann-Lebesgue lemma, 83
Riesz representation theorem, 81, 186
Rigged Hilbert space, 5, 6, 186
R-matrix, 336, 379