Adiabatic invariant
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Contents:
Articles 1
Adiabatic invariant . 1
Adiabatic theorem . 2
Aharonov-Bohm effect 3
Atomic theory . 8
Auger electron 12
Bargmann’s limit . 13
Bohr model . . 14
Boltzmon ..
21
Born probability ..
22
Bose–Einstein condensate ...
. . 22
Bose-Einstein statistics ..
30
Bose gas . . 34
Bound state .
. . 39
Bra-ket notation ..
40
Breit equation ..
. . 45
Canonical commutation relation .
47
Chladni’s law . ...
50
Classical limit .
51
Clebsch-Gordan coefficients .
. 52
Coherent state ..
54
Complementarity (physics) ...
. 62
Complete set of commuting observables ...
. 67
Compton scattering ..
. . 67
Compton wavelength ..
72
Conjugate variables ..
. 74
Constraint algebra . ..
. 74
Coupling constant 75
Creation and annihilation operators . ..
. 79
Dark energy star . . 84
Davisson-Germer experiment . ..
. 86
De Broglie hypothesis 86
Degenerate energy level
89
Degenerate matter
. . 90
Delayed choice quantum eraser 95
Diabatic
. . 98
Dirac equation in the algebra of physical space
. . 98
Dirac operator
. 102
Double-slit experiment . .
. 104
Duru-Kleinert transformation
111
Ehrenfest theorem
112
Einselection .
. . 114
Electronic density .
114
Electronic Hamiltonian
. . 115
Electronic state . . .
. . 117
Elementary particle .
. 117
Energy level splitting . 124
Entanglement witness 124
EP Quantum Mechanics . . 126
Excited state . . 127
Exotic hadron . 129
Faddeev equations 129
Fano resonance 130
Fermi-Dirac statistics . 130
Fermi energy . . 138
Fermi gas . . 141
Fermi liquid 142
Fermi’s golden rule 144
Field emission . 145
Finite potential well . . 146
Flux quantization . 149
Fock matrix 150
Fock space . 151
Fock state . . 153
Franck-Hertz experiment . 153
Free particle 155
Functional integration 157
Geiger-Marsden experiment . 163
Gibbs paradox . 165
Greenberger-Horne-Zeilinger state . 167
Hamiltonian (quantum mechanics) . 168
Heisenberg picture 172
Hilbert space . . 174
Hydrogen atom 182
Hydrogen-like atom . . 187
Hyperfine structure 191
Imaginary time 194
Implicate and Explicate Order according to David
Bohm . 195
Incompleteness of quantum physics . 207
Interaction picture 210
Internal conversion 211
Interpretation of quantum mechanics . .
212
Introduction to quantum mechanics 224
Josephson effect . . 253
Klein-Gordon equation 256
Ladder operators . . 259
Laplace-Runge-Lenz vector . . 260
Large Area Neutron Detector 265
Lindblad equation . 266
London moment . . 266
Many-body problem . . 267
Mathematical formulation of quantum mechanics
268
Matrix mechanics . 281
Matrix model . . 285
Maxwell-Boltzmann statistics 285
Measurement in quantum mechanics . . 291
Molecular Hamiltonian . . 299
Multiplicative quantum number . 300
Neutral particle oscillations . . 301
Normalisable wavefunction . . 303
Normal mode . . 306
Nuclear physics 311
Observable . 314
Oil-drop experiment . . 315
Open quantum system 320
Optical theorem . . 320
Parity (physics) 322
Particle in a box 330
Particle in a one-dimensional lattice (periodic
potential) . 338
Particle in a ring . . 343
Particle in a spherically symmetric
potential . . 345
Path integral formulation . 348
Penrose Interpretation 360
Peres-Horodecki criterion 362
Perturbation theory (quantum mechanics) .
363
Photoelectric effect 371
Planck particle . 379
Planck postulate . . 380
Planck’s law of black body radiation 380
Plum pudding model . 388
Position operator . . 390
Potential energy surface . . 391
Potential well . . 391
POVM . . 393
Probability amplitude . 399
Probability current 400
Projective Hilbert space . . 403
Pure gauge . 404
Quantum . . 404
Quantum 1/f noise 409
Quantum acoustics 410
Quantum biology . 410
Quantum chaos 411
Quantum Critical Point . . 413
Quantum entanglement . . 414
Quantum field theory . 421
Quantum fluctuation . 436
Quantum foam 438
Quantum Hall effect . . 440
Quantum harmonic oscillator 442
Quantum indeterminacy . 451
Quantum leap . 458
Quantum level . 459
Quantum mechanics . . 459
Quantum mechanics, philosophy and controversy
477
Quantum mineralogy . 485
Quantum phase transition 486
Quantum solid . 486
Quantum state . 487
Quantum statistical mechanics . . 490
Quantum superposition . . 494
Quantum Theory Parallels to Consciousness .
. 495
Quantum tomography 497
Quantum tunnelling . . 497
Quantum vibration 503
Quantum well . 504
Quantum Zeno effect . 505
Quasistability . . 506
QWiki . . 507
Range criterion 507
Relativistic particle 508
Resonance . 509
Ring wave guide . . 512
Ritz method 514
Rutherford model . 516
Rutherford scattering . 517
Rydberg formula . . 518
Scattering channel 521
Scattering theory . 522
Schrödinger equation . 524
Schrödinger picture . . 531
Schrödinger’s cat . . 532
Schrödinger’s cat in fiction . . 540
Schwinger’s variational principle 545
Selection rule . . 546
Semiclassical . . 548
Separable states . . 549
Shelter Island Conference 552
Single particle reconstruction 555
Slater determinant 556
Spin-1/2 557
Spin-orbital 559
Squashed entanglement . . 560
Squeezed coherent state . 564
SQUID . . 571
Stark effect . 576
Stationary state 581
Stern-Gerlach experiment 582
Subatomic particle 588
Superdense coding 592
Superselection sector . 594
Supersymmetric quantum mechanics . . 596
Thermal de Broglie wavelength . 601
Topological order . 603
Topological quantum number 607
Transformation theory (quantum mechanics) .
608
T-symmetry 609
Two interfering electron wave-packets .
616
Ultraviolet catastrophe 617
Uncertainty principle . 619
Unitarity 630
Unitarity bound 630
Variational method (quantum mechanics) .
631
Variational perturbation theory . 633
Wavefunction . . 634
Wave packet 640
Wave-particle duality . 644
Wien’s displacement law . 652
Wigner-Eckart theorem . . 656
Wigner quasi-probability distribution . .
656
Work function . 661
Zeeman effect . 663
GNU Free Documentation License . 669
List of Figures . 673
Index . . 675
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