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Galindo A., Pascual P. — Quantum Mechanics One
Galindo A., Pascual P. — Quantum Mechanics One



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Название: Quantum Mechanics One

Авторы: Galindo A., Pascual P.

Аннотация:

This is a textbook on non-relativistic quantum mechanics that emphasizes clarification of the nature of the basic postulates and the interpretation of the theory. It contains special material, often only accessible in scientific journals, on bound states, scattering theory, and both analytical and approximation techniques. Applications to many branches of physics are given. Among the topics covered are one-dimensional problems, angular momentum, two-particle systems, symmetry transformations, collision theory, the WKB method, and stationary and time-dependent perturbation and variational techniques. Particles in an electromagnetic field, many-body systems, atoms, and radiation theory are studied. The book is a considerably improved and completely updated English translation of a very successful Spanish textbook and is aimed at students in their second year of university.


Язык: en

Рубрика: Физика/Квантовая механика/Учебники/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1990

Количество страниц: 417

Добавлена в каталог: 02.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Hulthen potential      255
Hydrogen atom      10 14 242
Hydrogen-like atom in parabolic coordinates      252
Hydrogenic atom or hydrogen-like atom or one-electron atom      10 14 242
Hylleraas potential      256
Ideal measurement      64
Identity, Jacobi      74
Identity, spectral resolution of      45 351
Integral, direct, in Hilbert spaces      48 361
Integral, path      123
Intelligent states      206
Interaction picture or Dirac picture      86
Interactions, electromagnetic      280
Interactions, gravitational      280
Interactions, strong      280
Interactions, weak      280
Internal symmetries      295
Interpretation(s), active and passive, of a symmetry transformation      270
Interpretation(s), Copenhagen      32 34 376
Intrinsic parity      273
Invariance(s), adiabatic      13
Invariance(s), and conservation laws      277
Invariance(s), Galilean      288 294
Invariance(s), isospin      295
Invariance(s), parity      280
Invariance(s), rotation      279
Invariance(s), time-reversal      284
Invariance(s), translation      278
Inverse spectral problem      180
Irreducibility of a set of operators      268
Irreducible representation      193 277
Irreducible set of observables      268
Irreducible tensor operator      215
Irreducible vector tensors or vector spherical harmonics      335
Isomultiplet or isospin multiplet      296
Isospin      295
Isospin, conservation of      295
Isospin, group of      296
Isospin, invariance under      295
Isospin, space of      296
Jacobi identity      74
Jost function      160
Kato class of potentials      221 356
Kato — Birman theorem      355
Kato — Lax — Milgram — Lions — Nelson theorem      358
Kato — Rellich criterion for the stability of self-adjointness      354
Ket or state vector      37 39
Kramers' degeneracy      286
Kramers' relation      245 310
Kramers' theorem      286 388
Kronig — Penney potential      178
Laguerre generalized polynomials      309
Laguerre polynomials      308
Lamb effect      248
Lamb shift      248
Larmor frequency      20
Law, decay      173
Law, displacement      1
Law, Planck      2
Law, Rayleigh — Jeans      2
Law, Wien      2
Least action principle      22
Legendre polynomials      301
Leptonic charges or leptonic numbers      87
Leptons      280
Levinson's theorem      166
Light, duality      7
Limit, classical, of the Schroedinger equation      113
Linear superposition principle      86
Local hidden variables      381
Localizability      78 81
Lyman series      246
magnetic moment      19 249 295
magnetic quantum number      14 201
Marchenko integral equation      183
Martin's bound      224
Mass, effective      180
Mass, formula of      299
Mass, reduced      10 220
Mass, superselection rule associated with      292
Matrix(ces), density      58
Matrix(ces), Pauli      67 200 323
Matrix(ces), rotation      190
Matrix(ces), S      156 188
Matrix(ces), scattering      156
Matrix(ces), time evolution of      69
Matter waves      22
Maupertuis principle      22
Measure, spectral      351
Measure, Wiener      128
Measurement(s), filter      64
Measurement(s), ideal      64
Measurement(s), of the first kind      35 63
Measurement(s), of the second kind      35 63
Measurement(s), problem of      370
Measurement(s), results of      50 61
Mehler formula      125
Micro-states      379
Microreversibility principle      285
Min-max principle      135 223 231 360
Moment, magnetic      19 249 295
Momentum(a), conservation of      278
Momentum(a), operator for      41 78 90 92
Momentum(a), relative      220
Momentum(a), representation associated with      90
Morse potential      259
MOUer operators      188 355
Multi-periodic systems      13 16
Multiplicity      44
Multiplier      364
Muonic atom      249
Nagaoka atom      10
Natural width      249
Nelson phenomenon      229
Neumann functions      315
Neutron interferometry      23
Norm, Hilbert — Schmidt      354
Norm, trace      355
Normal modes, number of      2
Nuclear radius      297
Nucleon      295
Number(s), azimuthal quantum      14
Number(s), baryonic      87
Number(s), leptonic      87
Number(s), magnetic quantum      14 201
Number(s), of bound states      134 223 232
Number(s), operator for      146
Number(s), principal quantum      11 14 243
Number(s), radial quantum      14 242
Observable(s) and operators      40 77
Observable(s) compatible      55
Observable(s) complete set of      55
Observable(s) irreducible set of      268
Observable(s) superselection      86
Observable(s) with classical analog      79
Ocebe class of potentials      223
One-dimensional problem(s)      130
One-dimensional problem(s), asymptotic behaviors in      131
One-dimensional problem(s), energy spectrum in      131
One-dimensional problem(s), mathematical conditions for      183
One-dimensional problem(s), number of bound states in      134
Operator(s), adjoint      348
Operator(s), angular momentum      189 195 322
Operator(s), annihilation      146
Operator(s), antiunitary      263 274 284 386
Operator(s), closable      347
Operator(s), closed      347
Operator(s), compact      44 355
Operator(s), corresponding to classical observables      78
Operator(s), creation      146
Operator(s), decomposable      362
Operator(s), density      58
Operator(s), diagonal      362
Operator(s), essentially      131 221 348
Operator(s), evolution      69 70 71
Operator(s), functional calculus with      46 350
Operator(s), Hamiltonian      68 97 225
Operator(s), Hermitian      348
Operator(s), irreducible tensor      215
Operator(s), kinetic energy      140
Operator(s), Moeller      188 355
Operator(s), momentum      41 78 90 92
Operator(s), number      146
Operator(s), one-parameter unitary group of      70 71 78 353
Operator(s), parity      273
Operator(s), perturbation of      354
Operator(s), position      41 78 83 91
Operator(s), radial kinetic energy      225
Operator(s), radial momentum      225
Operator(s), resolvent      347
Operator(s), rotation      190 271
Operator(s), rotational kinetic energy      225
Operator(s), Runge — Lenz      250
Operator(s), scalar      216
Operator(s), scattering      156 188
Operator(s), self-adjoint      40 348
Operator(s), semi-bounded or bounded from below      348
Operator(s), spectral projection      351
Operator(s), spectral theory of      350
Operator(s), spectrum of      352
Operator(s), symmetric      41 53 348
Operator(s), time ordering      72
Operator(s), time reversal      274
Operator(s), trace class      355
Operator(s), translation      91 269
Operator(s), unitary      70 71 263 351
Operator(s), univalence      209
Operator(s), vector      216
Optical theorem      157
Packets, minimal      95 105
Packets, wave      27
Pair, Schrodinger      80
Parabolic coordinates, hydrogen-like atoms in      252
Parameters, normal      269
Parity      272
Parity, conservation of      280
Parity, intrinsic      273
Parity, invariance under      280
Parity, operator for      273
Partial wave decomposition      225
Partial wave decomposition, of plane waves      219 302
Particle, elementary      139
Particle, under the action of a constant force      105
Paschen series      246
Passive interpretation      270
Path, integral      123
Path, integration      120
Pauli matrices      66 200 323
Periodic potentials      175
Perrin atom      10
Perturbation, of self-adjoint forms      358
Perturbation, of self-adjoint operators      354
Peter — Weyl theorem      196
Pfund series      246
Phase shiftf(s), and Levinson theorem      166
Phase shiftf(s), for delta function potentials      160
Phase shiftf(s), for one-dimensional potentials      157
Phase shiftf(s), low energy behavior of      298
Phase shiftf(s), resonance behavior of      165
Phase space      4
phase velocity      25 115
photoelectric effect      4
Photon      5
Picture(s), Heisenberg      84
Picture(s), interaction or Dirac      85
Picture(s), Schroedinger      84
Picture(s), time evolution      84
Planck constant      3
Planck constant, reduced      3
Planck's law      2
Plane wave      39 51 100
Poisson bracket      74
Polarization      66
Pole structure of the transmission amplitude      167
Polynomials, Hennite      306
Polynomials, Laguerre      308
Polynomials, Laguerre generalized      309
Polynomials, Legendre      301
Populations      61
Position(s), operator for      41 78 83 91
Position(s), representation associated with      90
Potential(s), ${r}^{-2}$      229
Potential(s), ${r}^{-4}$      254
Potential(s), central      220
Potential(s), Coulomb      242
Potential(s), delta function      130 159 236
Potential(s), Eckart      254 257
Potential(s), exactly solvable, in s waves      254
Potential(s), exponential      259
Potential(s), harmonic oscillator      142 239
Potential(s), Hulthen      255
Potential(s), Hylleraas      256
Potential(s), Ikebe class of      223
Potential(s), Kato class of      221 356
Potential(s), Kronig — Penney      178
Potential(s), Morse      259
Potential(s), Periodic      175
Potential(s), Rollnik class of      222 359
Potential(s), square well      136 234
Potential(s), Von Neumann — Wigner      233
Preparation      35 63
Preparation maximal      36
Prepositional calculus      63
principal quantum number      11 14 243
Principle, combination      10
Principle, complementarity      7
Principle, correspondence      15
Principle, Fermat      22
Principle, Least Action      22
Principle, linear superposition      86
Principle, Maupertuis      22
Principle, microreversibility      285
Principle, min-max      135 223 231 360
Principle, uncertainty      29 53
Probability amplitude      9 27 89
Probability current density      99
probability density      90 97
Probability, relative      51
Problem(s), asymptotic behaviors in      131
Problem(s), energy spectrum in      131
Problem(s), inverse spectral      180
Problem(s), mathematical conditions      183
Problem(s), number of bound states in      134
Problem(s), one-dimensional      130
Product of convolution      368
Projection operator, spectral      351
Propagation of wave packets      103 106
Propagator, advanced      112
Propagator, free retarded      109
Propagator, retarded      107
Propagator, unitary evolution      69 70 71 121
Proposition or yes-no experiment      63
Quadratic form(s)      140 353
Quadratic form(s) closable      353
Quadratic form(s) closed      353
Quadratic form(s) positive      353
Quadratic form(s) self-adjoint      353
Quadratic form(s) semi-bounded or bounded from below      353
Quadratic form(s) symmetric      353
Quantization, canonical      74 77
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