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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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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), 229 Potential(s), 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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