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Nouredine Z. — Quantum Mechanics: Concepts and Applications
Nouredine Z. — Quantum Mechanics: Concepts and Applications

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Название: Quantum Mechanics: Concepts and Applications

Автор: Nouredine Z.

Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 667

Добавлена в каталог: 24.03.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abelian group      79 378
Absorption of a photon      558
Action quantization      36
Addition of angular momenta      385—407
Addition of isospins      406
Addition of three angular momenta      401—402
Addition of two angular momenta      385—400
Adiabatic approximation      560
Adiabatic theorem      561
Adjoint of an operator      89
Airy function      262
Airy functions      500
Allowed transitions      572
Alpha decay      509
Angular momentum, addition of three      401—402
Angular momentum, addition of two      385—400
Angular momentum, commutation relations      270 271
Angular momentum, conservation of      179 269 325 377
Angular momentum, eigenfunctions      287—295
Angular momentum, general formalism      271—276
Angular momentum, generator of infinitesimal rotations      376
Angular momentum, geometrical representation      279—280
Angular momentum, matrix representation      276—279
Angular momentum, orbital      269—271
Angular momentum, raising and lowering operators      272
Angular momentum, spin      280—287
Anisotropic harmonic oscillator      322
Annihilation operator      228—231
Anomalous Zeeman effect      487
Anti — Hermitian operator      90
Anticommutator      92
Antiparticle      16
Antisymmetric state      440 445 446
Associated Laguerre polynomials      340
Associated Legendre functions      289
Atomic shell structure      451
Axial vector      408
Balmer series      34
Barrier penetration      216—220
Basis, complete      103
Basis, continuous      117—124
Basis, discrete      102—117
Basis, of a vector space      81
Basis, orthonormal      82 103 117
Bessel equation      327
Bessel functions, spherical      327
Blackbody radiation      4—9
Bohr Atomic Model      30
Bohr energy      32
Bohr magneton      348
Bohr quantization rule      31
Bohr radius      32
Bohr — Sommerfeld quantization rule      502
Bohr’s postulates      30
Boltzmann constant      6
Boltzmann — Stefan law      5
Born approximation, first      606
Born approximation, validity      607
Born series      604
Bose — Einstein condensation      450
Bose — Einstein statistics      445
Boson condensation      450
Bosons      444
Bound states      206—207 220—227
Box potential      220
Bra-ket, matrix representation of      103
Bra-ket, notation      84 88
Bra-ket, properties      85
Canonical commutation relations      123
Center of mass motion      260 335
Central potential      324—327
Centrifugal potential      326
Characteristic equation      115
Classical limit      182
classical turning points      206 219 497
Classically allowed region      496
Classically forbidden region      496
Clebsch — Gordan coefficients      388
Clebsch — Gordan coefficients, orthonormalization relation      388
Clebsch — Gordan coefficients, recursion relations      392
Clebsch — Gordan series      402—403
Closed shell      453
Closure relation      103
Cofactor of a matrix      106
Commutator, algebra      92—93
Commutator, anticommutator      92
Commutator, definition      92
Commutator, Jacobi identity      93
Commutator, properties of a      93
Compatible observables      167
Complementarity principle      26
Composite particles      445
Compton effect      13—15
Configuration      453
Connection formulas      499—501
Conservation laws      175—179
Conservation of energy      178—179
Conservation of linear momentum      178—179
Conservation of parity      179
Conservation of probability      173—174
Constant of the motion      178 179 377
Constrained variational principle      489
Continuous spectrum      207
Correspondence principle      182
Coulomb gauge      348 564 565
Coulomb potential      334 608 617 623
Coulomb scattering      608
Creation operator      228—231
Cross section, Coulomb      608
Cross section, differential      595 601 602 606
Cross section, partial wave      612
Cross section, total      595 611—613
Cross section, total elastic      613
Cross section, total inelastic      613
Current density      174 186 211
Davisson — Germer experiment      18
De Broglie relation      18
de Broglie wavelength      19
Degeneracy, definition      115
Degeneracy, exchange      444—445
Degeneracy, for central potentials      325
Degeneracy, for Coulomb potential      344
Degeneracy, for cubical potential      321
Degeneracy, for free particle      319 328
Degeneracy, for isotropic oscillator      322 332
Degeneracy, for symmetric potentials      208
Degeneracy, of hydrogen levels      344 345
Degeneracy, partial lifting of      348
Degenerate perturbation theory      476—479
Delta function      117
Delta potential      243 245
Density operator      174
Detailed balancing      559
Differential cross section      595 601 602 606
Dipole moment      414
Dipole selection rules      572
Dipole-dipole interaction      534
Dirac delta function      117
Dirac picture      551
Discrete spectrum      206—207
Distorted plane wave      611
Double-slit experiment      21—27
Dual space      84
Dyson series      554
Effective potential      326
Ehrenfest theorem      181
Eigenstate      97
Eigenvalue      115
Eigenvalue problem      114 117
Eigenvalues and eigenvectors of an operator      97—99
Eigenvectors      115
Einstein, photoelectic effect      11
Elastic scattering, partial wave analysis      609—613
Elastic scattering, total cross section      613
Electric dipole approximation      571
electric dipole moment      478 572
Electric dipole transition      571
Electromagnetic field quantization      566—569
Electronic configuration      453
Energy conservation      178
Equation of motion, density operator      175
Equation of motion, dynamical variable      180
Equation of motion, for expectation value      174
Equation of motion, for operators      552
Equation of motion, Hamilton — Jacobi      181
Equation of motion, Heisenberg      551
Equation of motion, interaction picture      552
Equation, Klein — Gordon      266
Euler angles      379
Exchange degeneracy      444—445
Exchange operator      439
Exclusion principle      449 451
expectation value      165
Expectation value, time evolution      174
Exponential decay      217 498
Fermi Golden Rule      557
Fermi — Dirac statistics      445
fermions      444
Fine structure constant      32 482
Fine structure of hydrogen      483
Flux      174 209 211
Forbidden transitions      572
Forward scattering amplitude      612
Fourier transforms      38 603
Free particle motion, one dimensional      208—210
Free particle motion, three dimensional      319—320 327—329
Gauss’s theorem      490
Generator of finite translations      177
Generator of infinitesimal rotations      376
Generator of infinitesimal transformation      176
Generator of infinitesimal translations      176
Golden Rule      557
Goudsmith, Sam      281
Green’s function      603
Group velocity      43—45
gyromagnetic ratio      282 486
Hamilton — Jacobi equation      181
Hankel functions, spherical      330
harmonic oscillator      227—236
Harmonic oscillator, anisotropic      322
Harmonic oscillator, energy eigenstates      231
Harmonic oscillator, energy eigenvalues      229—231
Harmonic oscillator, isotropic      322
Harmonic oscillator, matrix representation      234 235
Harmonic oscillator, wave function      233
Harmonic oscillator, zero-point energy      231
Heaviside function      522
Heisenberg equation of motion      551
Heisenberg picture      550—551
Heisenberg uncertainty principle      27
Heisenberg uncertainty relations      28 95
Helium atom, energy levels      462 539 540 544
Hermitian adjoint of an operator      89—91
Hermitian operator      90
Hund’s rules      455
Hydrogen atom      334—347
Hydrogen atom, anomalous Zeeman effect      484—487
Hydrogen atom, Bohr model      30—36
Hydrogen atom, degeneracy of energy levels      344
Hydrogen atom, energy levels      338—339
Hydrogen atom, fine structure      483—484
Hydrogen atom, normal Zeeman effect      349—351
Hydrogen atom, polarizability      475
Hydrogen atom, probabilities and averages      345
Hydrogen atom, radial functions      339—342
Hydrogen atom, radius quantization      346
Hydrogen atom, relativistic corrections      482—483
Hydrogen atom, spin-orbit coupling      479—482
Hydrogen atom, Stark effect      474 478
Hydrogen atom, wave function      342
Hyperfine structure      484
Identical particles, indistinguishability of      442—444
Identical particles, systems of      442—449
Inelastic scattering, partial wave analysis      613—614
Inelastic scattering, total cross section      613
Infinitesimal rotations      375
Infinitesimal spatial translations      176
Infinitesimal time translations      176
Infinitesimal unitary transformations      175
Interaction picture      551—552
Interchange symmetry      439
Invariance principle      178
Invariance under spatial rotation      269 377
Invariance under spatial translation      178
Invariance under time translation      178
Inverse of a matrix      105
Inverse of an operator      96
Irreducible tensors      411
Isospin      404—407
Ket vector      84 85
Klein — Gordon equation      266
Kronecker delta      103
Ladder method for angular momentum      272—276
Ladder method for harmonic oscillator      228—231
Ladder operators      229
Lagrange multipliers      489
Laguerre polynomials      340
Lande factor      282 486
Laplacian operator      88
Larmor frequency      350
Laser      566
Legendre associated functions      289
Legendre differential equation      289
Legendre polynomials      289
Legendre polynomials, completeness      290
Levi — Civita tensor      285
Linear operators      89
Linear Stark effect      475
Linear vector space      79
Linearly independent vectors      81
Lowering operator      229
Lyman series      34
Magnetic dipole moment      484
Many-particle systems      437—442
Maser      566
Matrix mechanics      126
Matrix, cofactor of a      106
Matrix, inverse of a      105
Matrix, properties of a      110
Matrix, skew-symmetric      105
Matrix, symmetric      105
Matrix, trace of a      107
Matrix, transpose of a      105
Matter waves      20—21
Measurement      164—170
Mixed spectrum      207
Momentum conservation      178
Momentum representation      120
Neumann functions, spherical      327
Noble gases      456
Nodes of a wave function      207 208 221
Nodes of hydrogen radial functions      342
Nodes of variational method wave function      489
Nodes of WKB wave function      502
Normalization of associated Laguerre functions      342
Normalization of associated Legendre functions      291
Normalization of Gaussian wave packet      41
Normalization of radial functions      341
Normalization of spherical harmonics      290
Normalization of WKB wave function      503
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