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Greiner W. — Quantum mechanics. An introduction
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Название: Quantum mechanics. An introductionАвтор: Greiner W. Аннотация: Quantum Mechanics - An Introduction lays the foundations for the rest of the course on quantum mechanics, advanced quantum mechanics, and field theory. Starting from black-body radiation, the photoelectric effect, and wave-particle duality, Greiner goes on to discuss the uncertainty relations, spin, and many-body systems; he includes applications to the hydrogen atom and the Stern-Gerlach and Einstein-de Haas experiments. The mathematics of representation theory, S matrices, perturbation theory, eigenvalue problems, and hypergeometric differential equations are presented in detail, with 88 fully and carefully worked examples and exercises to consolidate the material. The text starts with the historical and phenomenological background and then carefully builds up the wave mechanical treatment of matter. This fourth edition includes improved explanatory remarks, a total of 88 fully worked examples, and more exercises
Язык: Рубрика: Физика /Общие курсы /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Издание: fourth editionГод издания: 2001Количество страниц: 485Добавлена в каталог: 09.09.2005Операции: Положить на полку |
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Absorption 16 Absorption, frequency 325 Admixture amplitudes 275 Angular-momentum barrier 178 Anticommutation relations 335 357 Anticommutator 68 Anticommuting 334 Azimuthal quantum number 222 Background radiation 25 Balmer series 4 227 279 389 Balmer, Johann Jakob 244 Basis vectors 147 Bell’s Theorem 465 ff. Big Bang Model 26 Binary fission 377 Binding energy 47 220 Black body 9 f. Black body radiation 21 Black body radiation, cosmic 25 Bloch function 149 Bohr frequencies 297 304 Bohr magneton 230 330 Bohr radius 62 223 Bohr, Niels Hendrik David 244 Boltzmann distribution 17 Boltzmann statistics 128 Boltzmann, Ludwig 154 Born approximation 313 Born, Max 65 Bose — Einstein distribution 21 Bose, Satyendra Nath 154 Bose-Einstein statistics 127 Bosons 21 127 404 Bounded linear operators 426 Box normalization 40 Bra 69 Brackett series 227 Brackett, F. P. 245 Bragg’s condition 35 Bremsstrahlung 302 Brix, Peter 327 Canonical momentum 79 188 191 205 213 Cauchy’s principal value 113 Cavity radiation 10 ff. Central potential 85 Centre-of-mass motion 237 373 Centre-of-mass motion in atoms 387 ff. Centrifugal term 217 Charge density 144 Charge distribution 313 Clifford algebra 357 Closure relation 109 Cluster radioactivity 377 Cluster structure 377 Coefficient of reflection 125 Coefficient of transmission 127 Commutation relations 80 81 188 333 350 381 439 Commutator 68 75 79 426 Compact 424 Complementarity 473 complete 425 Complete antisymmetric tensor 333 Complete orthonormal system 425 427 Completeness relation 42 Compton, Arthur Holly 1 Compton, effect 2 f. 34 55 Compton, line 4 Compton, scattering formula 3 Compton, wavelength 3 Configuration point 368 Configuration space 60 257 368 Confluent hypergeometric differential equation 161 Confluent hypergeometric function 161 Conservation of angular momentum 188 Conservation of energy 188 Conservation of momentum 188 Conservation of particle number 144 Conservation of total angular momentum 377 ff. Conservation of total momentum 371 f. Constant of motion 187 295 441 Continuity equation 144 Continuous spectrum 71 105 302 431 Continuum wave function 40 Continuum-continuum transition 302 Copenhagen interpretation 467 Corpuscle theory 1 Coulomb gauge 14 206 Coulomb potential 205 223 231 339 347 364 Cross-section 319 Current density 144 148 228 229 340 370 Curvilinear coordinates 190 ff. Davisson, Clinton Joseph 65 de Broglie wave 29 54 118 de Broglie wavelength 35 de Broglie, Prince Louis Victor 65 de Haas, Wonder Johannes 352 Debye — Scherrer method 35 Debye, Petrus Josephus Wilhelmus 1 Degeneracy 77 122 277 Degeneracy, 2p-level 330 Degeneracy, exchange 405 ff. Degeneracy, Fermi gas 135 Degeneracy, Landau states 216 Degeneracy, of the three-dimensional oscillator 181 Degenerate states 72 Delta function 107 109 114 Delta potential 125 Density of states 22 135 306 316 Determinism 459 ff. Deviation 70 Diagonal 253 Diatomic molecule 236 ff. dielectric constant 323 ff. Diffraction 34 Dipole strength 326 Dipole-quadrupole interaction 417 Dirac equation 287 355 Dirac notation 69 Dirac, Paul Adrien Maurice 104 Direct-product, formation 437 Direct-product, space 437 Directional quantization 5 Discrete spectrum 71 302 427 Distribution functions 127 ff. Doublet splitting 330 f. D’Alembert equation 14 Effective potential 238 Ehrenfest, Paul 203 Ehrenfest’s theorem 186 f. 206 Eigendifferential 74 105 Eigenfrequency 300 Eigenfunctions 70 ff. 105 428 Eigenfunctions of the momentum operator 247 Eigenoscillations 19 Eigenrepresentation 260 334 429 Eigenvalue 70 ff. 427 Eigenvalue, energy 118 Eigenvalue, equation 71 Eigenvalue, problem 260 ff. Eigenvector 427 ff. Einstein — de Haas experiment 332 Einstein, Albert 6 Electrical current density 341 electromagnetic field 19 29 205 339 Electron density 223 Electron spin 230 330 Elementary magnetic monopoles 332 Elementary particles 34 Emittance 23 energy bands 153 Energy representation 252 Ensemble 474 Escape energy 2 Exchange energy 409 exchange interaction 231 expectation value 43 70 255 439 Fermi gas 134 Fermi — Dirac statistics 127 Fermi, Enrico 154 fermions 127 404 Fermi’s Golden Rule 310 ff. 457 ferromagnetism 332 Fock, Wladimir Alexandrowitsch 245 Form factor 249 316 Four-spinor 340 Four-vector 117 Fourier, decomposition 45 Fourier, integral 49 247 299 Fourier, series 299 Fourier, spectrum 300 Fourier, transform 49 60 299 Fourier, transformation 247 Franck — Hertz Experiment 4 Franck, James 1 Fredholm integral equation 261 Fredholm, Erik Ivar 271 Free particle 39 441 Free propagation 446 Gamma matrices 358 Gamma-rays 3 gaps 153 Gauge invariance 206 212 363 Gauge transformation 207 Gauss, Carl Friedrich 182 Gaussian wave packet 60 Gauss’ law 144 Gerlach, Walther 8 Ghostfield 38 Goudsmit, Samuel Abraham 352 Green, George 183 Green’s function 446 Green’s Theorem 180 Ground state 176 454 Ground state, hydrogen 250 Group velocity 31 Guiding field 38 Gyromagnetic factor 230 331 365 Hamilton equations 209 ff. Hamiltonian 46 85 117 138 157 175 205 367 Hamiltonian operator see “Hamiltonian” harmonic oscillator 157 ff. 175 Harmonic oscillator, harmonic perturbation of 288 f. Harmonic oscillator, linear perturbation 290 Harmonic oscillator, Ritz variational method 294 Hartree method 231 Hartree, Douglas Rayner 245 Heaviside’s step function 112 Heisenberg picture 269 440 Heisenberg uncertainty principle 51 ff. 76 79 247 439 Heisenberg, Werner Karl 66 Heitler, Walter Heinrich 421 Helium atom 407 ff. Helmholtz equation 14 Hermite polynomials 162 164 173 216 392 450 Hermite, Charles 103 Hermitian 67 Hermitian operator 427 Hermiticity 74 307 Hertz, Gustav 8 Hertz, Heinrich Rudolf 5 Hidden-variable theory 462 ff. Hilbert space 42 88 423 Hilbert, David 65 Hofstadter, Robert 327 Homeopolar binding 411 Hydrogen atom 217 ff. 250 Hydrogen atom, currents in 228 Hydrogen atom, spectrum of 226 hydrogen molecule 411 ff. Hydrogen molecule, binding energy 415 Hydrogen molecule, perturbation theory 416 Hylleraas, Egil Andersen 422 Hyperfine structure 332 Hypergeometric differential equation 159 Hypergeometric function 160 ff. Hypergeometric series 160 Ideal classical gas 137 Idempotency 307 Identical particles 403 ff. Induced emission 16 Interaction picture 270 Interference patterns 35 54 Interference phenomena 29 Intrinsic angular momentum 329 Ionization energy 227 Isotopic spin 336 Jacobi coordinates 240 ff. 373 Jacobi identity 76 Jacobi, Carl Gustav Jakob 66 Jeans, James Hopwood 26 Ket 69 kinetic energy 85 192 Kinetic momentum 205 Kirchhoff’s Theorem 19 Klein — Gordon equation 118 355 Kronig — Penney model 149 Kummer differential equation 161 f. 219 Kummer, Ernst Eduard 183 Lagrange bracket 197 Lagrange multipliers 128 Lagrange, Joseph Louis 203 Laguerre polynomials 162 Laguerre, Edmond Nicolas 183 Landau levels 216 Landau states 214 Landau — Zener effect 286 Landau, Lew Dawidowitsch 244 Lande factor 386 Lande, Alfred 401 Larmor frequency 343 Larmor, Sir Joseph 353 Laue method 36 Laue, Max von 65 Legendre differential equation 95 233 Legendre differential equation, associated 95 Legendre polynomial 83 88 160 236 Legendre polynomial, associated 95 Legendre, Adrien Marie 103 Lenard, Philipp 6 Light quanta 1 Linear vector space 69 423 Locality 460 London, Fritz 421 Long-wave radiation 9 Lorentz force 205 Lyman series 227 Lyman, Theodore 244 Magic nuclei 122 magnetic moment 5 229 329 363 magnetic quantum number 233 magnetization 342 Many-particle Hamiltonian 367 Many-particle Hamiltonian, system 377 390 mass density 145 Matrix element 78 252 Matrix representation 256 Matrix, complex conjugate 253 Matrix, multiplication of 254 Matrix, transposed 253 Matrix, unit 253
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