Index
501
Generalized Richardson equations, 283, 288
Generalized Riemann-Lebesgue lemma, 85,
86
Generalized variational principle, 193, 226,
373, 377
Gorkov-Green-function approach, 368
Green-Function Monte Carlo approach, 368
Green’s function, 52, 403, 441, 457
Gyarmati-Vertse method, 98
H
Halo states, 162, 175, 326
Hamiltonian complex scaling, 291, 292
Hamiltonian in coupled-channel representation,
404
Hankel function, 77, 322
Harmonic oscillator basis, 65, 149, 212, 410,
423
Harmonic oscillator length, 19
Harmonic oscillator potential, 15, 18, 31
Harmonic oscillator wave function, 36
Hartree–Fock potential, 110, 208, 254
Hartree–Fock states, 204
Heisenberg uncertainty relation, 187
Hellmann-Feynman theorem, 255, 283
Hermite polynomial, 19, 71
Hermitian Hamiltonian, 6, 60, 65
Hermitian quantum mechanics, 6
Hessian matrix, 198, 229, 258
Hilbert space, 5, 6, 186, 402
Householder method, 128
Householder-QL method, 131
Hybrid 1D/2D partitioning scheme, 223
Hydrogenoid system, 45
Hyperbolic Gaudin models, 276
Hypergeometric function, 37
Hypergeometric potentials, 31, 35
Hyperspherical harmonics, 268, 331
I
Improper integral, 117
Incoming Coulomb wave function, 23
Inelastic scattering cross sections, 442
In-medium similarity renormalization group,
369, 391
Intrinsic state, 426
Irregular Airy function, 30
Irregular Coulomb function, 23, 47, 121
Isobaric analogue state, 337
Isolated quantum system, 7
Isospin symmetry breaking, 350, 357
J
Jacobi coordinates, 195, 267, 268, 271, 422
Jacobi–Davidson method, 214, 224, 285, 373,
386, 457
Jacobi polynomials, 37
Jost function, 41, 47, 55, 59, 65, 111
K
KKNN potential, 293, 297
Kuo–Krenciglowa method, 392
L
Laboratory coordinates, 198, 472
Laguerre polynomial, 71
Lanczos method, 128, 131, 205, 214, 373
Lanczos-QL method, 133
Laplace equation, 71
Lawson method, 149, 195, 372
Lebesgue measure, 81
Lentz method, 25
Linear regression approximation, 228
Lippmann–Schwinger equation, 296, 458
Long-wavelength approximation, 202, 448,
466
M
Magic numbers, 3
Many-body Berggren relation, 191
Markovian equations of motion, 2
Matching radius, 65
Matrix elements in Berggren basis, 98, 244,
247, 251
Matrix elements of scattering states, 102
Memory management, 217
Mirror nuclei, 4, 337, 350
Mirror symmetry breaking, 264
Mittag-Leffler expansion, 109
Modified Bessel function, 28, 36
Modified Pöschl-Teller-Ginocchio potential,
40, 74
Modified surface Gaussian interaction, 460
Multi-Slater determinant coupled Hartree–
Fock method, 209, 371, 392
Multi-Slater determinant coupled Hartree–
Fock potential, 210, 254
N
Natural orbitals, 203, 386
Neumann series, 50, 96
501
Generalized Richardson equations, 283, 288
Generalized Riemann-Lebesgue lemma, 85,
86
Generalized variational principle, 193, 226,
373, 377
Gorkov-Green-function approach, 368
Green-Function Monte Carlo approach, 368
Green’s function, 52, 403, 441, 457
Gyarmati-Vertse method, 98
H
Halo states, 162, 175, 326
Hamiltonian complex scaling, 291, 292
Hamiltonian in coupled-channel representation,
404
Hankel function, 77, 322
Harmonic oscillator basis, 65, 149, 212, 410,
423
Harmonic oscillator length, 19
Harmonic oscillator potential, 15, 18, 31
Harmonic oscillator wave function, 36
Hartree–Fock potential, 110, 208, 254
Hartree–Fock states, 204
Heisenberg uncertainty relation, 187
Hellmann-Feynman theorem, 255, 283
Hermite polynomial, 19, 71
Hermitian Hamiltonian, 6, 60, 65
Hermitian quantum mechanics, 6
Hessian matrix, 198, 229, 258
Hilbert space, 5, 6, 186, 402
Householder method, 128
Householder-QL method, 131
Hybrid 1D/2D partitioning scheme, 223
Hydrogenoid system, 45
Hyperbolic Gaudin models, 276
Hypergeometric function, 37
Hypergeometric potentials, 31, 35
Hyperspherical harmonics, 268, 331
I
Improper integral, 117
Incoming Coulomb wave function, 23
Inelastic scattering cross sections, 442
In-medium similarity renormalization group,
369, 391
Intrinsic state, 426
Irregular Airy function, 30
Irregular Coulomb function, 23, 47, 121
Isobaric analogue state, 337
Isolated quantum system, 7
Isospin symmetry breaking, 350, 357
J
Jacobi coordinates, 195, 267, 268, 271, 422
Jacobi–Davidson method, 214, 224, 285, 373,
386, 457
Jacobi polynomials, 37
Jost function, 41, 47, 55, 59, 65, 111
K
KKNN potential, 293, 297
Kuo–Krenciglowa method, 392
L
Laboratory coordinates, 198, 472
Laguerre polynomial, 71
Lanczos method, 128, 131, 205, 214, 373
Lanczos-QL method, 133
Laplace equation, 71
Lawson method, 149, 195, 372
Lebesgue measure, 81
Lentz method, 25
Linear regression approximation, 228
Lippmann–Schwinger equation, 296, 458
Long-wavelength approximation, 202, 448,
466
M
Magic numbers, 3
Many-body Berggren relation, 191
Markovian equations of motion, 2
Matching radius, 65
Matrix elements in Berggren basis, 98, 244,
247, 251
Matrix elements of scattering states, 102
Memory management, 217
Mirror nuclei, 4, 337, 350
Mirror symmetry breaking, 264
Mittag-Leffler expansion, 109
Modified Bessel function, 28, 36
Modified Pöschl-Teller-Ginocchio potential,
40, 74
Modified surface Gaussian interaction, 460
Multi-Slater determinant coupled Hartree–
Fock method, 209, 371, 392
Multi-Slater determinant coupled Hartree–
Fock potential, 210, 254
N
Natural orbitals, 203, 386
Neumann series, 50, 96