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Greiner W. — Quantum mechanics. An introduction
Greiner W. — Quantum mechanics. An introduction

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Название: Quantum mechanics. An introduction

Автор: 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: en

Рубрика: Физика/Общие курсы/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: fourth edition

Год издания: 2001

Количество страниц: 485

Добавлена в каталог: 09.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Absorption      16
Absorption, frequency      325
Admixture amplitudes      275
angular momentum      5 81
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
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