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Galindo A., Pascual P. — Quantum Mechanics One
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Название: Quantum Mechanics OneАвторы: 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: Рубрика: Физика /Квантовая механика /Учебники /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1990Количество страниц: 417Добавлена в каталог: 02.09.2005Операции: Положить на полку |
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356 354 354 362 362 362 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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