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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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Quantization, rules of 77 Quantization, Sommerfeld — Wilson — Ishiwara rules of 4 13 Quantization, space 15 21 Quantum chromodynamics 281 Quarks 280 300 Quaternions 38 Racah, coefficients of 329 346 Racah, triangle function of 330 Radial equation 225 Radial momentum operator 225 Radial quantum number 14 242 Radial wave function 225 Radiation 10 Radiation emission 245 Radius, Bohr 11 243 Radius, nuclear 297 Range, effective 298 Rayleigh — Jeans law 2 Reciprocity relation 153 Reciprocity theorem 287 Reduced mass 10 220 Reduced matrix element 216 Reduced radial equation 226 Reduction of the wave packet 65 370 Reflection amplitude 154 Reflection coefficient 153 Regularity condiction 227 229 Relation(s) or rule(s), commutation, for angle-angular momentum 201 Relation(s) or rule(s), commutation, for angular momenta 190 195 322 Relation(s) or rule(s), commutation, for position-momentum 78 Relation(s) or rule(s), commutation, in Weyl's form 78 205 Relation(s), closure 49 Relation(s), Kramers 245 310 Relation(s), reciprocity 153 Relation(s), uncertainty 29 53 Relative probability 51 Representation, associated with a complete set of compatible observables 88 Representation, irreducible 193 277 Representation, matrix, of J 199 Representation, matrix, of the rotation operators 206 324 Representation, momentum 90 Representation, position 90 Representation, relation between position and momentum 93 Representation, spectral 350 Representation, spectral of the identity 45 351 Resolvent operator 347 Resolvent set 46 347 Resonance 164 Resonance width 164 Results of measurements 50 61 Riesz — Frechet theorem 39 Rigged Hilbert space 48 Rodrigues' formula 302 307 308 309 Rotation matrix 190 Rotation operator 190 271 Rotation or SO(3) group 190 271 Rotational invariance 279 Rotational kinetic energy 225 Rotations 271 Rotations double-valued representations of 208 Rule(s), quantization 77 Rule(s), quantization of Sommerfeld — Wilson — Ishiwara 4 13 Rule(s), selection 87 Rule(s), superselection 39 85 209 292 Runge — Lenz operator 250 Rydberg 246 S matrix 156 188 Scalar operator 216 Scattering amplitude, analyticity properties of 158 160 Scattering length, nucleon-nucleon 298 Scattering matrix 156 Scattering operator 156 188 Scattering, Compton 5 Schlaefli's formula 302 Schroedinger equation 25 26 68 Schroedinger equation, classical limit of 113 Schroedinger equation, for stationary states 25 Schroedinger equation, for the relative motion 221 Schroedinger equation, for two-particle systems 220 Schroedinger equation, one-dimensional 130 Schroedinger equation, reduced radial 226 Schroedinger equation, time-dependent 26 Schroedinger pair 80 Schroedinger picture 84 Selection rules 87 Self-adjoint operator 40 348 Series, Balmer 246 Series, Brackett 246 Series, Clebsch — Gordan 211 Series, Lyman 246 Series, Paschen 246 Series, Pfund 246 Series, spectral 246 Slow growth function 364 Soliton 182 Sommerfeld — Wilson — Ishiwara quantization rules 4 13 Space quantization 15 21 Space translation 91 269 278 Space(s), Bargmann — Segal 151 Space(s), coherent 86 266 Space(s), Hilbert 37 39 347 Space(s), isospin 296 Space(s), phase 4 Space(s), Stummel 119 Spectral decomposition 45 350 Spectral family 45 351 Spectral measure 351 Spectral projection operator 351 Spectral representation 350 Spectral series 246 Spectral theory of self-adjoint operators 350 Spectrum 43 347 Spectrum, absolutely continuous 184 352 Spectrum, continuous 43 348 Spectrum, discrete 352 Spectrum, essential 184 222 352 355 Spectrum, of a self-adjoint operator 352 Spectrum, of H 131 222 Spectrum, of the angular momentum operator 196 Spectrum, of the momentum operator 83 Spectrum, of the position operator 83 Spectrum, point 43 348 Spectrum, pure point 352 Spectrum, residual 348 Spectrum, singular continuous 352 Spherical Bessel functions 314 Spherical Hankel functions 315 Spherical harmonics 201 304 Spin 21 95 192 Spinor 95 Spreading of wave packets 105 111 Square barrier 173 175 Square well potentials 136 234 Stark effect 21 State vector or ket 37 39 State(s) 34 State(s), Bloch 205 State(s), bound 73 State(s), coherent 148 State(s), collapse of 65 370 State(s), dispersion-free 54 State(s), excited 136 State(s), ground 129 136 State(s), in and out 156 State(s), intelligent 206 State(s), mixed 34 36 57 State(s), mixed, evolution equation for 69 State(s), pure 34 36 37 State(s), pure, evolution equation for 68 State(s), resonant 164 171 State(s), scattering 73 State(s), stationary 10 72 State(s), virtual 162 Stationary states, Schrodinger equation for 25 Step function 71 Stern — Gerlach experiment 20 66 196 Stone's theorem 71 353 Strong interaction 280 Structure, fine 16 247 Structure, fine, constant of 11 Structure, hyperfine 249 Stummel space 119 Sturm's theorem 135 186 230 Superposition, principle of linear 86 Superselection observables 86 Superselection rule(s) 39 85 209 292 Superselection rule(s), Bargmann 292 Superselection rule(s), mass 292 Superselection rule(s), univalence 209 Superstrings 281 Supersymmetry 281 Support of a distribution 366 Symmetry transformations 262 Temperate distribution 364 Tensor, irreducible 215 331 Tensor, irreducible vector 334 Test function 363 Theorem, Agmon — Kato — Kuroda 222 Theorem, Bargmann 190 Theorem, Bertrand 252 Theorem, Birkhoff 177 Theorem, Bloch 177 Theorem, detailed balance 287 Theorem, Ehrenfest 101 Theorem, Floquet 177 Theorem, Frobenius 38 Theorem, Gleason 61 Theorem, Kato — Birman 355 Theorem, Kato — Lax — Milgram — Lions — Nelson 358 Theorem, Kramers 286 388 Theorem, Levinson 166 Theorem, optical 157 Theorem, Peter — Weyl 196 Theorem, reciprocity 287 Theorem, Riesz — Frechet 39 Theorem, Stone 71 353 Theorem, Sturm 135 186 230 Theorem, virial 118 Theorem, Von Neumann, on complete sets of compatible observables 57 Theorem, Von Neumann, on hidden variables 378 Theorem, Wigner 190 263 Theorem, Wigner — Eckart 215 332 Thomson atom 10 Threshold frequency 4 Tiktopolous formula 359 360 Time evolution pictures 84 Time evolution, deterministic or causal 370 Time reversal 274 Time reversal, invariance under 284 Time reversal, operator for 274 Trace class 355 Trace norm 355 Trajectories and the uncertainty principle 31 Transformation of operators 267 Transformation, Fourier 367 Transformation, Galilean 288 Transformation, symmetry 262 Translation operator 91 269 Translation, space 91 269 278 Translational invariance 278 Transmission amplitude 154 Transmission coefficient 153 Triangle function 327 Tune delay 154 Tune evolution group 71 Tune evolution law for expectation values 73 Tune ordering operator 72 Tune-dependent Schrtjdinger equation 26 Tunnel effect 174 Ultraviolet catastrophe 2 Uncertainty or standard deviation 52 Uncertainty principle 29 53 Uncertainty relation 29 53 Uncertainty relation, for angle-angular momentum 201 Uncertainty relation, for energy-time 29 75 Uncertainty relation, for position-momentum 29 95 Unitarity bound 157 Unitary propagator or evolution operator 69 70 71 Units, atomic 245 Univalence superselection rule 209 Vector operator 216 Vector spherical harmonics or irreducible vector tensors 335 Velocity, group 25 28 180 Velocity, phase 25 115 Virial theorem 118 Von Neumann — Wigner potential 233 Von Neumann's theorem on complete sets of compatible observables 57 Von Neumann's theorem on hidden variables 378 Wave function 24 26 88 Wave packet reduction 65 370 Wave packet spreading 105 111 Wave packets 27 Wavelength, Compton 6 Wavelength, de Broglie 23 Waves, matter 22 Waves, plane 39 51 100 Weak interaction 280 Weber function 312 Well(s), one-dimensional square 136 Well(s), three-dimensional square 234 Weyl's alternative 184 Weyl's form of the commutation relations 78 205 Width of a resonance 164 Wien's Law 2 Wiener measure 128 Wigner — Eckart theorem 215 332 Wigner's friend 373 Wigner's Theorem 190 263 work function 5 Yes-no experiment or proposition 63 Young double-slit experiment 7 9 Zeeman effect 18 Zone, Brillouin 179
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