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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
${H}_{0}$-bounded      356
${H}_{0}$-infinitesimal      354
${H}_{0}$-small      354
${W}^{*}$-algebra      362
${W}^{*}$-algebra, abelian      362
${W}^{*}$-algebra, commutant of      362
Accidental degeneracy      15 240 247 250
action      123
Action variables      13
Active interpretation      270
Addition of angular momenta      209 326
Adiabatic in variance      13
Agmon — Kato — Kuroda theorem      222
Amplitude, probability      9 27 89
Amplitude, reflection      154
Amplitude, transmission      154
Analyticity of the scattering amplitude      158 160
Angle variables      13
Angular momentum(a)      189 322
Angular momentum(a), addition of      209 326
Angular momentum(a), conservation of      279
Angular momentum(a), eigenvalues of      196
Angular momentum(a), operator of      189 195 322
Angular momentum(a), orbital      200
Angular momentum(a), spin      195
Angular momentum(a), standard basis for the irreducible, representations of      199
Angular momentum(a), total      195
Annihilation operator      146
Antiunitary operator      263 274 284 386
Associated Legendre function      303
Atom, Bohr      10 15
Atom, hydrogen      10 14 242
Atom, hydrogen-like, in parabolic coordinates      252
Atom, hydrogenic or hydrogen-like or one-electron      10 14 242
Atom, muonic      249
Atom, Nagaoka      10
Atom, Perrin      10
Atom, Thomson      10
Atomic units      245
Azimuthal quantum number      14
Balmer series      246
Band structure      178
Bargmann — Segal space      151
Bargmann's bound      232
Bargmann's theorem      190
Bargmarm's superselection rule      292
Barrier, centrifugal      225
Barrier, potential      152
Barrier, square      173 175
Baryorric charge or baryonic number      87
Bell's inequality      382
Bertrand's theorem      252
Bessel functions      312
BirkhofFs oscillation theorem      177
Birman — Schwinger bound      223
Blackbody      1
Bloch states      205
Bloch's theorem      177
Bohr atom      10 15
Bohr complementarity      7
Bohr radius      11 243
Boltzmann constant      2
Bound(s) on number of bound states      134 223 232
Bound(s) on number of bound states, Bargmann      232
Bound(s) on number of bound states, Birman — Schwinger      223
Bound(s) on number of bound states, Calogero      233
Bound(s) on number of bound states, Cwikel — Lieb — Rosenbljum      224
Bound(s) on number of bound states, Martin      224
Bra      39
Brackett series      246
Breit — Wigner formula      164
Brillouin zone      179
Calogero's bound      233
Campbell — Hausdorff formula      82
Canonical quantization      74 77
Center of mass      220
Center of mass, correction due to recoil of      245
Central potentials      220
Centrifugal barrier      225
Charge(s), baryonic      87
Charge(s), leptonic      87
Chromodynamics      281
Classical limit of the Schrtidinger equation      113
Clebsch — Gordan coefficients      212 326 339
Clebsch — Gordan series      211
Closure relation      49
Coefficient(s), Clebsch — Gordan      212 326 339
Coefficient(s), diffusion      157
Coefficient(s), Racah      329 346
Coefficient(s), reflection      153
Coefficient(s), transmission      153
Coefficients X      333
Coherences      61 64
Coherent spaces      88 266
Coherent states      148
Collapse of the state      65 370
Combination principle      10
Communtation relations or commutation rules, for angle-angular momentum      201
Communtation relations or commutation rules, for angular momenta      190 195 322
Communtation relations or commutation rules, for position-momentum      78
Communtation relations or commutation rules, in Weyl's form      78 205
Commutator      53
Compatible observables      55
Compatible observables, complete set of      55
Complementarity principle      7
Compton effect      5
Compton scattering      5
Compton wavelength      6
Condon — Shortley convention      198 212 323
Confluent hypergeometric function      317
Conservation laws      277
Conservation laws and invariances      277
Conservation, angular momentum      279
Conservation, flux      153
Conservation, isospin      295
Conservation, momentum      278
Conservation, parity      280
Constant, Boltzmann      2
Constant, fine structure      11
Constant, Planck      3
Constant, reduced Planck      3
Constants of the motion      73 277
Continuity equation      99 100
Convention of Condon — Shortley      198 212 323
Convolution product      368
Coordinates, principal      103
Coordinates, relative      220
Copenhagen interpretation      32 34 376
Correspondence principle      15
Coulomb potential      242
Coulomb wave functions      320
Creation operator      146
Cwikel — Lieb — Rosenbljum bound      224
Davisson — Germer experiment      23
de Broglie wavelength      23
Decay law      173
Decomposition, partial wave      225
Decomposition, spectral      45 350
Deficiency indices      43 225 348
Degeneracy, accidental      15 240 247 250
Degeneracy, and invariance      277
Degeneracy, Kramers      286
Delta function      365
Delta-function potential      130 159 236
Density matrix or density operator      58
Density, probability      90 97
Density, probability current      99
Detailed balance theorem      287
Determinism      31
Diamagnetic term      19
Diffusion coefficient      157
Diffusion equation      109
Dirac delta function      365
Dispersion-free states      54
Displacement law      1
Distribution(s) or generalized function(s)      364
Distribution(s) or generalized function(s), differentiation of      365
Distribution(s) or generalized function(s), support of      366
Distribution(s) or generalized function(s), temperate      364
Dyson time ordering operator      72
Eckart potential      254 257
Effect, Compton      5
Effect, Lamb      248
Effect, photoelectric      4
Effect, Stark      21
Effect, tunnel      174
Effect, Zeeman      18
Effective range      298
Ehrenfest's theorem      101
Eigenfunction      47
Eigenvalue      44 348
Eigenvector      44 47 348
Einstein — Rosen — Podolsky argument      377
Electromagnetic interaction      280
Electroweak model      280
Emission of radiation      245
Energy shell      188
Energy, Coulomb, of a nucleus      297
Energy, radial kinetic      22S
Energy, resonant      164
Energy, rotational kinetic      225
entropy      371
Equation, classical limit of      113
Equation, continuity      99 100
Equation, diffusion      109
Equation, Hamilton — Jacobi      24 113
Equation, Marchenko      183
Equation, radial      225
Equation, reduced radial      226
Equation, Schrodinger      25 26 68
Equation, stationary states of      25
Equation, time-dependent      26
Euclidean group      190 193
Euler angles      206
Euler constant      311
Euler gamma function      311
Evolution operator or unitary propagator      69 70 71
Evolution, types of      370
Expansion in eigenvectors      48 185
Expectation or mean value      52 59
Expectation values, time evolution law for      73
Exponential potential      259
Family, holomorphic self-adjoint of type (A)      356
Family, holomorphic self-adjoint of type (B)      360
Family, spectral      45 351
Fast decrease functions      363
Fermat's principle      22
Feynman — Kac formula      128
Fine structure constant      11
Floquet's theorem      177
Flux conservation      153
Form, quadratic      140 353
Formula, Breit — Wigner      164
Formula, Campbell — Hausdorff      82
Formula, Feynman — Kac      128
Formula, mass      299
Formula, Mehler      125
Formula, Rodrigues      302 307 308 309
Formula, Schiafli      302
Formula, Tiktopoulos      359 360
Fourier transform      367
Fourier transformation      367
Franck — Hertz Experiment      12
Frequency, Larmor      20
Frequency, threshold      4
Friedrichs extension      140 226 348 354
Frobenius theorem      38
Function(s), associated Legendre      303
Function(s), Bessel      312
Function(s), confluent hypergeometric      317
Function(s), Coulomb wave      320
Function(s), Dirac delta      365
Function(s), Euler gamma      311
Function(s), fast decrease      363
Function(s), Hamilton's characteristic      24 114
Function(s), Hamilton's principal      24 113
Function(s), Hankel      313
Function(s), Jost      160
Function(s), Neumann      315
Function(s), Racah triangle      330
Function(s), radial wave      225
Function(s), slow growth      364
Function(s), spherical Bessel      314
Function(s), spherical Hankel      315
Function(s), step      71
Function(s), test      363
Function(s), triangle      327
Function(s), wave      24 26 88
Function(s), Weber      312
Function(s), work      5
Functional calculus with self-adjoint operators      46 350
Galilean invariance      288 294
Galilean transformations      288
Galilei group      288
Gamma function      311
Generator(s)      71 269
Generator(s), rotation      272
Generator(s), translation      270
Gleason's theorem      61
Grand unification models      281
Gravitational interaction      280
Group, euclidean      190 193
Group, Galilei      288
Group, isospin      296
Group, of space translations      91 269
Group, of symmetry transformations      268
Group, one-parameleT unitary      70 78 353
Group, rotation or SO(3)      190 271
Group, SU(2)      193 296
Group, time evolution      70 71
Group, unitary abelian      78
Group, velocity of      25 28 180
Gyromagnetic factor      249
Hadrons      281
Hamilton — Jacobi equation      24 113
Hamilton's characteristic function      24 114
Hamilton's principal function      24 113
Hamiltonian      68
Hamiltonian, in arbitrary coordinates      98
Hamiltonian, in Cartesian coordinates      98
Hamiltonian, in spherical coordinates      225
Hankel functions      313
Harmonic oscillator, analytical treatment of      142 239
Harmonic oscillator, classical equations for      106 143
Harmonic oscillator, Hamiltonian of, in terms of annihilation and creation operators      145
Harmonic oscillator, in the Heisenberg picture      147
Harmonic oscillator, one-dimensional      142
Harmonic oscillator, operator treatment of      145
Harmonic oscillator, three-dimensional      239
Heisenberg picture      84
Helicity      217
Hermite polynomials      306
Hidden variables      31 376
Hidden variables local      381
Hilbert space      37 39 347
Hilbert space rigged      48
Hilbert — Schmidt norm      354
Holder continuity      223
Holomorphic self-adjoint family of type (A)      356
Holomorphic self-adjoint family of type (B)      360
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