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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
Matter waves      34 ff. 38
Mean value      43 ff. 185
Mean-square deviation      70
Measurability      76
Measurement, classical      472
Measurement, theory      468 ff.
Metric tensor      194
Minimal coupling      205 363
Mixed spectrum      432
Momentum transfer      315 ff.
Multiplet      121 384
Multiplet structure      330
Multiplicity of the multiplet      384
Negative refraction      326
Norm      424
Normal coordinates      390
Normal modes      391
Normalization      62 f. 105
Nuclear magneton      331
Observable      67 76 87 438
Operator      46 f. 67 426
Operator, adjoint      426
Operator, angular momentum      46 81
Operator, annihilation      173 176
Operator, creation      173 176 453
Operator, differential      45
Operator, energy      81
Operator, function      67 433
Operator, Hamiltonian      46 85
Operator, hermitian      79 185 427
Operator, kinetic energy      46
Operator, linear      67 426
Operator, lowering      174
Operator, momentum      247 259
Operator, number      174
Operator, raising      174
Operator, trace of an      430
Operator, unitary      436
Orthogonal function system      73
Orthogonal functions      254
Orthogonality      425
Orthogonality, relation      253
Orthogonalization method      73
Orthonormal basis      42
Orthonormal function system      41
Orthonormal system      425
Orthonormality relation      41
Parity      124 169
Particle current density      144 341
Paschen series      227
Paschen, Friedrich      244
Pauli equation      339 365
Pauli matrices      333 f.
Pauli matrices, completeness of      360
Pauli matrices, computation rule for      360
Pauli principle      122 136 405
Pauli, Wolfgang      352
Periodic potential      149
Perturbation      273 295
Perturbation theory      456 ff.
Perturbation theory, stationary      273 ff.
Perturbation, operator      284
Perturbation, parameter      273 f.
Perturbation, stationary      273 ff.
Perturbation, time-dependent      295 ff.
Perturbation, time-independent      300
Pfund series      227
phase velocity      30
Phonon      176
Phonon, number operator      176
Phonon, oscillator      453
photoelectric effect      1 f. 29 251
Photon      1 29
Planck, Max      26
Planck’s constant      2
Planck’s radiation law      9 16 19
Plane wave      29 39 48 51
Pochammer symbols      159
Poincare, Henri      203
Poincare’s theorem      196
Poisson bracket      191 209 439
Positivism      477
principal quantum number      181 220 222
probability      38 43 460
probability density      38 50 147 341
Projection operator      305
Projection theorem      385
projectors      305 ff.
Propagator      446
Quadrupole-quadrupole interaction      417
Quantization of direction      84
Quantization of energy      4 163
Quantum statistics      127 ff.
Quasicontinuous approximation      135
Quasicontinuum      121
Rabi experiment      344
Rabi, Isaac Isidor      353
Radial quantum number      218
Radiance      9
Radiant flux      9
Radiation, energy      23
Radiation, field      10
Radiation, of Bodies      9 f
Radiation, transitions      206
Radioactive decay      377
Rayleigh — Jeans radiation law      9 17 20
Rayleigh, John Williams Strutt      26
Reduced mass      237
Reflection      9
Refraction index      326
Relative motion      237
Relativistic energy-momentum relation      30 317
Relativistic particle      118
Representation      247 425
Representation theory      247 ff.
Representation, algebraic      453
Representation, coordinate      247 251 257 449
Representation, eigen      334
Representation, energy      249 251 296
Representation, Heisenberg      269
Representation, interaction      270
Representation, momentum      248 250 257 450
Representation, of operators      251 ff.
Representation, Schrodinger      269
Resolving power      56
Resonance behaviour      300
Ritz combination principle      4 f.
Ritz variational method      292
Ritz — Paschen series      227
Ritz, Walter      1
Rodriguez recurrence formula      91
Rodriguez’s formula      90
Rotational states      239
Rutherford scattering formula      319
Rydberg constant      227
Rydberg, Janne (John) Robert      244
S matrix      264
S operator      264
Scalar product      42 69 424
Scattering      34 36
Scattering, angle      2
Scattering, cross-section      319
Scattering, elastic      312 ff.
Scattering, matrix      264 ff.
Scattering, theory      312 ff.
Schmidt, Erhard      103
Schrodinger equation      117 ff. 231 247 273
Schrodinger equation, linearization of      355 ff.
Schrodinger equation, matrix form      266 ff.
Schrodinger equation, stationary      119 146 157 217
Schrodinger equation, time-dependent      185 264
Schrodinger equation, time-independent      157
Schrodinger picture      269 440
Schrodinger, Erwin      154
Schwartz’s inequality      424
Second quantization      177
Secular equation      278
Self-adjoint      67
Shell models      122
Short-wave radiation      9
Slater determinant      407
Slater, John Clarke      422
Smallness parameter      273
Solar constant      23
Solid state physics      35
Spectral series      4 227
Spectral term      227
Spherical coordinates      193
Spherical harmonics      83 96
Spherical harmonics, addition theorem of      100
Spherical wave      148 f.
Spin      329 ff.
Spin and statistics      404
Spin, current density      342
Spin, flip      344
Spin, mathematical description of      333 ff.
Spin, precession      342 f.
Spin, resonance      344
Spin, space      381
Spin-Lande factor      365
Spin-orbit coupling      273
Spinor      337 362
Spinor, unit      337
Spinor, wave functions      340
Spontaneous transition      16
Square-integrable functions      67 69
Square-summable functions      428
Stark effect      279 ff.
Stark effect, linear      279
Stark effect, quadratic      279
Stark, Johannes      327
State vectors      42 69
Stationary states      146 ff.
Stefan — Boltzmann law      22
Stern — Gerlach experiment      5 329 469
Stern, Otto      8
Stirling’s formula      128
Subjectivism      477
Successive approximation      298
Superposition principle      48 67
Teller, Edward      111
Ternary fission      377
Test wave function      293
Thermal equilibrium      10 20
Three-body fission      377
Three-dimensional harmonic oscillator      177 ff.
Time dependence      41
torque      5
Trace      430
Transition probability      16 266 295
Transition probability per unit time      310
Translational operator      88
Tunnel effect      171
Two-body fission      377
Two-spinor      340
Two-state level crossing      284 ff.
Uhlenbeck, Georg Eugen      352
Unitary      436
Unitary transformation      262 ff. 436
VACUUM      176
Vacuum state      454
Van der Waals interaction      416 ff.
van der Waals, Johannes Diderik      422
Variational principles      293
Vector potential      205
Vector space      42
Vibrational states      239
Virial theorem      15 85 189
Wave function      38
Wave function, reduction      470
Wave function, symmetry      406
Wave packet      51
Wave particle duality      1 29
Wave theory of light      1
Wavelength      29
Waves      34
Weber, Heinrich      182
Weber’s differential equation      158
Weyl packet      305
Weyl, Claus Hugo Hermann      103
Weyl’s eigendifferentials      74
Wien, Wilhelm      27
Wien’s displacement law      24
Wien’s law      9 18 21
X-rays      2 3 35
Zeeman effect, anomalous      385
Zeeman effect, simple      347
Zeeman, Pieter      353
Zero-point energy      121 125 164 171
Zero-point pressure      136
1 2
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