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Shankar R. — Principles of quantum mechanics
Shankar R. — Principles of quantum mechanics

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Название: Principles of quantum mechanics

Автор: Shankar R.

Аннотация:

The book begins with a very nice inroduction on the math you'r going to need, the Dirac notation (with a fine review to matrix and vector calculus using Dirac's notation), then he applies this math to a classical problem: two masses coupled with springs.
After this introduction there's a good begining (about the first half of the book) on the basics of quantum mechanics, but the second half I didn't like as much (I looked for another book: Cohen's), although it is still fine.


Язык: en

Рубрика: Физика/Квантовая механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd edition

Год издания: 1994

Добавлена в каталог: 30.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$S$ matrix, definition of      529
$X$ operator      68
$X$ operator, matrix elements of      68
't Hooft      619
Absorption spectrum      368
Accidental degeneracy, free-particle case      426
Accidental degeneracy, harmonic oscillator case      352 423
Accidental degeneracy, hydrogen atom case      359 422
Actinides      371
Active transformations      29 280
Adjoint      13 25 26
Aharonov — Bohm effect      497
Angular momentum, addition of, $\mathbf{J} + \mathbf{J}$      408
Angular momentum, addition of, $\mathbf{L} + \mathbf{S}$      414
Angular momentum, addition of, $\mathbf{S} + \mathbf{S}$      403
Angular momentum, commutation rules      319
Angular momentum, eigenfunctions      324 333
Angular momentum, eigenvalue problem of      321
Angular momentum, in three dimensions      318
Angular momentum, in two dimensions      308
Angular momentum, spin      373
Anti — Hermitian operators      27
Anticommutation relations      640
Antisymmetric states      261
Anyons      607
Balmer series      367
Basis      6
Berry phase      592
Berry potential      603
Bohr magneton      389
Bohr model      364
Bohr radius      244 357
Bohr — Sommerfeld quantization rule      448
Born approximation, time-dependent      529
Born approximation, time-independent      534
Born approximation, validity of      543
Bose — Einstein statistics      271
Bosons      263
Bound states      160 445
Bound states, energy quantization in      160
Bra      11
Breit — Wigner form      551
Canonical commutation rule      131
Canonical momentum      80
Canonical momentum, electromagnetic case      84
Canonical transformations, active      97
Canonical transformations, introduction to      92
Canonical transformations, point transformations      94
Canonical transformations, regular      97
Canonically conjugate operators      69
Center of mass ($CM$)      85
Centrifugal barrier      340
Characteristic equation      33
Characteristic polynomial      33
chemical potential      641
Classical limit      179
Classical radius of electron      364
Clebsch — Gordan coefficients      412
Cofactor matrix      656
Coherent states, fermionic      642
Coherent states, oscillator      607
Coherent states, spin      636
Collapse of state vector      122 139
Commutator      20
Compatible variables      129
Complete set of observables      133
Completeness relation      23 59
complex numbers      660
Compton scattering      123
Compton wavelength      246
Compton wavelength, electronic      363
Condon — Shortley convention      410
Configuration space      76
Consistency test, for three-dimensional rotations      318
Consistency test, for translations      306 312
Consistency test, for translations and rotations      310
Coordinates, canonical      94
Coordinates, Center-of-mass      85
Coordinates, cyclic      81
Coordinates, relative      85
Correlation function      628
Correlation function, connected      634
correlation length      629
Correspondence principle      197
Coulomb scattering      531
Coupled mass problem      46
Creation operator      205
Cross section, differential      526 529
Cross section, for Gaussian potential      533
Cross section, for hard sphere      549
Cross section, for Yukawa potential      531
Cross section, in CM frame      557
Cross section, in lab frame      559
Cross section, partial      548
Cross section, photoelectric      506
Cross section, Rutherford      531
Cyclotron frequency      588
Dalgarno and Lewis method      462
Darwin term      572
De Broglie waves      112 366
Degeneracy      38 44 120
Density matrix      133
Derivative operator      63
Derivative operator, eigenvalue problem for      66
Derivative operator, matrix elements of      64
Destruction operator      205
Determinant      29
Diagonalization of Hermitian operator      40
Diagonalization of Hermitian operator, simultaneous      43
Differential cross section      526 529
Dipole approximation      502
Dipole moment      463
Dipole selection rule      465
Dirac delta function      60
Dirac delta function, definition of      60
Dirac delta function, derivatives of      61
Dirac delta function, Gaussian approximation for      61
Dirac delta function, integral representation of      63
Dirac delta function, three-dimensional      342
Dirac equation, electromagnetic      566
Dirac equation, free particle      565
Dirac monopole      605
Dirac notation      3
Dirac string      605
Direct product of operators      250
Direct product spaces      249
Double well      616
Double well, tunneling in      616
Double-slit experiment      108
Double-slit experiment, quantum explanation of      175
Dual spaces      11
Ehrenfest’s theorem      180
Eigenket      30
Eigenspace      37
Eigenvalue problem      30
Eigenvector      30
Einstein temperature      220
Electromagnetic field, interactions with matter      83 90 499
Electromagnetic field, quantization of      506
Electromagnetic field, review of      492
Ensemble, classical      125
Ensemble, mixed      133
Ensemble, quantum      125
Euclidean Lagrangian      614
Euler angles      333
Euler — Lagrange equations      79
Exchange operator      278
Exclusion principle      264
expectation value      127
Fermi — Dirac statistics      270
Fermionic oscillator      640
Fermionic oscillator, thermodynamics of      642
fermions      263
Fermi’s Golden Rule      483
Field      2
Filling factor      591
Fine-structure constant      362
Fine-structure correction      367 466
Fourier transform      62
Free-particle problem, cartesian coordinates      151
Free-particle problem, spherical coordinates      426
Functional      77
Functions of operators      54
Gauge, Coulomb      494
Gauge, invariance      493 496
Gauge, transformations      493 496
Gaussian Integrals      659
Gaussian potential      533
Generalized force      80
Generalized potential      84
Geometric phase      593
Gram Schmidt theorem      14
Grassmann numbers      642
Green’s function      534
gyromagnetic ratio      386
Hamiltonian formulation      86
Hamilton’s equations      88
Harmonic oscillator, classical      83
Harmonic oscillator, fermionic      640
Harmonic oscillator, isotropic      260 351
Harmonic oscillator, quantum      185
Harmonic oscillator, quantum, energy levels of      194
Harmonic oscillator, quantum, in the coordinate basis      189
Harmonic oscillator, quantum, in the energy basis      202
Harmonic oscillator, quantum, propagator for      196
Harmonic oscillator, quantum, wave functions of      195 202
Harmonic oscillator, thermodynamics of      219
Harmonic oscillator, three-dimensional      260 351
Harmonic oscillator, two-dimensional      316
Heisenberg picture      147 490
Hermite polynomials      490
Hermitian operators      27
Hermitian operators, diagonalization of      40
Hermitian operators, diagonalization of, simultaneous      43
Hermitian operators, eigenbases of      36
Hermitian operators, eigenvalues of      35
Hermitian operators, eigenvectors of      36
Hermitian operators, infinite-dimensional      65
Hilbert space      67
Hilbert space, bosonic      265
Hilbert space, fermionic      265
Hilbert space, for two particles      265
Hilbert space, normal mode problem in      70
Hydrogen atom 21—cm line      408
Hydrogen atom, degeneracy of      359
Hydrogen atom, energy levels of      356
Hydrogen atom, wave functions of      356 357
Hyperline interaction      407
Ideal measurement      122
Identical particles, bosons      263
Identical particles, definition of      260
Identical particles, fermions      263
Identity operator      19
Impact parameter      523
Improper vectors      67
Incompatible variables      128
Induced emission      521
Inelasticity      554
Infinite-dimensional spaces      57
Inner product      8
Inner product space      7
Inverse of operator      20 655
ionic bond      370
Irreducible space      330
Irreducible tensor operator      418
Ising model      627
Ket      3
Klein — Gordon equation      564
Kronecker’s delta      10
Lagrangian      76
Lagrangian, for electromagnetic interactions      83
Laguerre polynomial      356
Lamb shift      574
Landau level      587 588
Laughlin quasihole      607
Laughlin wave function      592
Least action principle      77
Legendre transform      87
Linear independence      4
Linear operators      18
Lorentz spinor      566
Lowering operator, angular momentum      322 (see also Destruction operator)
Lowering operator, for harmonic oscillator      205 (see also Destruction operator)
Lowest Landau Level      588
Lyman series      367
magnetic moment      385
magnetic quantum number      314
Matrix elements      20
Matrix inversion      655
Mendeleev      370
Metastable states      553
Minimum uncertainty packet      241
Multielectron atoms      369
Negative absolute temperature      394
Norm      9
Normal modes      52
Number operator      207
Numerical estimates      361
Operators      18
Operators, adjoint of      25
Operators, anti — Hermitian      27
Operators, conjugate      69
Operators, derivatives of      55
Operators, functions of      54
Operators, Hermitian      27
Operators, identity      22
Operators, infinite-dimensional      63
Operators, inverse of      20
Operators, linear      18
Operators, matrix elements of      21
Operators, product of      20
Operators, projection      22
Operators, unitary      28
Optical theorem      548 555
Orthogonal matrix      28
Orthogonality      9
Orthonormality      9
Outer product      23
P$ operator      116
Paramagnetic resonance      392
Parity invariance      297
Partial wave, amplitude      545
Partial wave, expansion      545
Particle in a box      157 259
Paschen series      367
Passive transformation      29 280
Path integral, and Schr$\ddot{o}$dinger’s equation      229
Path integral, coherent state      607 610
Path integral, configuration space      582
Path integral, definition      223
Path integral, fermionic      646
Path integral, free particle      225 582
Path integral, imaginary time      614
Path integral, phase space      586
Path integral, recipe      223
Path integral, statistical mechanics      624
Pauli equation      568
Pauli exclusion principle      264
Pauli matrices      381
Periodic table      370
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