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Englert B.G. (Ed) — Quantum Mechanics
Englert B.G. (Ed) — Quantum Mechanics

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Название: Quantum Mechanics

Автор: Englert B.G. (Ed)

Аннотация:

The lecture notes of Julian Schwinger's UCLA course consist of three parts corresponding to the three quarters of teaching. The first part begins with an analysis of Stern—Gerlach-type experiments which accomplishes a self-contained physical and mathematical development of the general structure of quantum kinematics. The second part proceeds from there. The response to infinitesimal time displacements yields the equations of motion. Then the Quantum Action Principle (QAP) is derived, and accepted as a fundamental principle. In a sense, the rest of part two and all of part three consist of instructive applications of the QAP.FROM THE REVIEWS: MATHEMATICAL REVIEWS "The book is packed with exercises for the reader to attempt...Anyone who works religiously through these exercises will require a thoroughly adequate command of quantum mechanics." CHOICE MAGAZINE "Editor Englert has performed a service for physicists everywhere by making available this book, which is based on Schwinger's unpublished UCLA lecture notes...There are excellent problems at the end of each chapter...This book would make an outstanding supplement and reference for a graduate quantum mechanics course. Theoretical physicists will delight in this wonderful book, which should be available in the library system of any institution with a research or graduate program in physics. Graduate students through professionals."


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 1st edition

Год издания: 2001

Количество страниц: 496

Добавлена в каталог: 17.03.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$L\rightarrow R$      see “Left to right reading”
$\alpha$ particle      356
$\beta$ decay      337
$\pi$ meson      19 177
(In)compatible properties      74 78
Absorption      464
Action operator      209
Action principle      209 (see also “Quantum action principle”)
Adjoint      54 91 adjoint”)
Adjoint of a measurement symbol      54
Adjoint of a number      55
Adjoint of a product      54
Adjoint of a unitary operator      67
Adjoint of right and left vectors      54 66
Adjoint, matrix representation of an      57
Ag atom      see “Silver atom”
Airy function      238
Airy, Sir George Bidell      232
Angstroem unit      305
Angstroem, Jonas Anders      305
Angular frequency      203
angular momentum      151 183 200
Angular momentum as a BE collection of spins      383 387
Angular momentum for the Stern — Gerlach system      155
Angular momentum of composite systems      158—162
Angular momentum, commutator with scalar operator      152
Angular momentum, commutator with vector operator      151
Angular momentum, conservation of      198
Angular momentum, decomposition into spins      155—158
Angular momentum, differential-operator representation      165—167 296
Angular momentum, eigenvectors      152—155
Angular momentum, external      188
Angular momentum, internal      188 190
Angular momentum, orbital      188 289 297
Angular momentum, spin      188
Angular momentums, eigenvectors, rotated      168—177
Annihilation      37 41 43
Annihilation operators      377 400
Anticommutator      35
Anticommuting numbers      399
Anticommuting quantities      392
Asymptotic form      239 241
Asymptotic form, differential equation      232
Asymptotic form, extrema      248—252
Asymptotic form, Fourier integral      232
Asymptotic form, integrated      232 255 263
Asymptotic form, plot      252 255
Asymptotic form, value at      0 240 263 265
Asymptotic form, zeros      248 252
Asymptotic forms, completeness of      264
Asymptotic forms, orthonormality of      264
Atomic energy unit      419
Atomic scales      305
atomicity      7 12 46
Axial vector      359
Axial vector, geometrical significance      360
BE (Bose — Einstein)      356
BE statistics      356
BE statistics and spin      358
BE statistics, commutation relations      380
Bell states      179
Bell, John Stewart      179
Bessel coefficients      284 301
Bessel functions      284
Bessel functions, generating function      284 285 301
Bessel functions, power series      301
Bessel functions, spherical      369
Bessel functions, sum rule      285
Bessel, Friedrich Wilhelm      284
Bethe, Hans Albrecht      461
Bethe’s Lamb shift result      461
Binomial expansion      123 143
Bohr energies      305 363 422
Bohr magneton      324
Bohr orbit      420
Bohr radius      304 414 461 471
Bohr shells      431 435
Bohr, Niels Henrik David      6 17 74
Bohr’s complementarity      17 74
Booster      183
Born approximation      372
Born, Max      14 85
Born, Max, and Heisenberg’s non-commutativity      85
Born’s probability interpretation      102
Bose — Einstein      see “BE”
Bose, Satyendranath      356
Boson      380
Boundary condition      253
Bra      38
Brillouin, Leon      246
Carlini, Francesco      246
Causal theory      1—3 15
Causality      2
Center of gravity      343
Center of mass      343
Center of mass, cross section in, frame      355
Center of mass, position vector      343
Change of description      213—214
Charge in electric and magnetic field, Hamilton operator      321
Charge in electric and magnetic field, Lorentz force on      322
Charge in homogeneous magnetic field, commutation relations      324
Charge in homogeneous magnetic field, count of states      328
Charge in homogeneous magnetic field, energy eigenvalues      325
Charge in homogeneous magnetic field, Hamilton operator      324
Classical analogies      17
Classical electron radius      471
Classical kinetic energy      241
Classical limit      73 132—134 188 285 432 463 467
Classical momentum      241 244
Classically allowed region      243 246 410
Classically forbidden region      242 243 246 317
Coherent state      130
Coherent states (over-)completeness of      131
column      59 60
Column vector      59—63
Commutator      35
Commutator, identities      90 91
Commutator, trace of a      91
Complementarity      17 69—76
Complementary properties      74
Complementary quantities      76
Completeness of Airy functions      264
Completeness of coherent states      131
Completeness of measurement symbols      33 98
Completeness of minimal-uncertainty states      131
Completeness of p vectors      103
Completeness of q vectors      101
Completeness of radiation field mode functions      439
Completeness of stationary-uncertainty states      123—125 128
Completeness of U and V vectors      101
Composite system      76
Compton wavelength      461 471
Compton, Arthur Holly      461
Connection formulas      243 246
Conservation laws      197—199
Conservation of angular in omentum      198
Conservation of energy      197
Conservation of linear momentum      198
Conservation, local, of electric charge      467
Constant force, asymptotic wave functions      239—243
Constant force, energy eigenstates      237 238
Constant force, energy eigenstates, their completeness      264
Constant force, energy eigenstates, their orthonormality      264
Constant force, equations of motion      224
Constant force, Hamilton operator      224
Constant force, state density      233
Constant force, time transformation function      226
Constant restoring force      252
Continuity equation      258 467
continuum limit      82—87
Copenhagen school of physics      6
Correspondence between hydrogenic bound states and scattering states      330
Correspondence between two and three-dimensional oscillator      297
Correspondence between two-dimensional oscillator and three-dimensional Coulomb problem      304 333
Coulomb force field      15
Coulomb potential      304
Coulomb potential in parabolic coordinates      314
Coulomb potential, Fourier transform      427 455
Coulomb potential, long-range effect of      332
Coulomb potential, virial theorem      310
Coulomb problem      see “Hydrogenic atoms”
Coulomb, Charles-Augustin de      15 304
creation      41 43 54
Creation as though, of an atom      36
Creation, creation operators      377 400
Creation, symbolic act of      38
Cross section in center-of-mass frame      355
Cross section, differential      332 372
Cross section, Mott      357
Cross section, Rutherford      333 355
Cross section, Thomson      467 471
Current components      441
Curvilinear coordinates      292—293
Curvilinear coordinates, distance      293
Curvilinear coordinates, gradient      293
Curvilinear coordinates, Laplacian      293
Curvilinear coordinates, volume element      293
Cyclotron frequency      325
Darwin term      455
Darwin, Charles Galton      455
de Broglie wave      29
de Broglie wavelength      245
de Broglie wavelength, local      245
de Broglie, Prince Louis-Victor      17 29
de Broglie’s momentum-wavelength relation      203
Degenerate states in perturbation theory      366
Degree of freedom, quantum      76—82
Delta function      102 136
Delta function as a limit      105
Delta function, identities      136 264
Delta function, transverse      468
Delta symbol      36 50
Density matrix      93
Descartes, Rene      156
destruction      36 54
Destruction as though, of an atom      36
Destruction, symbolic act of      38
Determinant of an operator      94
Determinant of an operator product      95
Deterministic theory      1—3 15
Deterministic theory, statistically      15
Deuteron      355
diamagnetic susceptibility      339
Dipole approximation      464 465
Dirac, Paul Adrien Maurice      38
Dirac’s delta function      see “Delta function”
Division algebra      35
Down-hill equation      317
Driven oscillator, boundary conditions      272
Driven oscillator, constant drive      274—276
Driven oscillator, constant drive, energy eigenstates      275
Driven oscillator, constant drive, energy eigenvalues      275
Driven oscillator, constant drive, time transformation function      276 278
Driven oscillator, constant drive, wave functions      275
Driven oscillator, equations of motion      272
Driven oscillator, Hamilton operator      272
Driven oscillator, slowly varying drive      276—278
Driven oscillator, temporary drive      278—286
Driven oscillator, time transformation function      274
Dyadic product      38
Dynamical principle      210
Dynamical variables      196
Dynamical variables, time dependence of      196
Effective Hamiltonian      449 456
Effective Hamiltonian, first-order correction      458
Effective potential      316 408
Eigenvalue      68
Eigenvalue of non-Hermitian operator      125—132
Eigenvalue, multiplicity of an      79 81
Eigenvalue, problem      80
Eigenvector      68
Eigenvector of non-Hermitian operator      125—132
Eigenvector, equation      96
Eigenvectors, common, of $J^{2}$ and $J_{z}$      152—155
Eigenvectors, orthogonality of      81
Einstein relation      22
Einstein, Albert      4 17 191
Einsteinian relativity      191
Electric charge density      437
Electric current density      437
electric field      46 437
Electric field, force on test charge in      46
Electric field, hydrogenic atoms in      316—319
Electric field, longitudinal part      438
Electric field, transverse part      438
electromagnetic field      437
Electromagnetic radiation, absorption      464
Electromagnetic radiation, commutation relations      440 469
Electromagnetic radiation, constraints      437
Electromagnetic radiation, current components      441
Electromagnetic radiation, effective field      443
Electromagnetic radiation, effective Hamiltonian      449 456
Electromagnetic radiation, effective Hamiltonian, first-order correction      458
Electromagnetic radiation, effective particle action      443
Electromagnetic radiation, energy density      469
Electromagnetic radiation, energy flux density      469
Electromagnetic radiation, equations of motion      437 440
Electromagnetic radiation, field Lagrangian      439
Electromagnetic radiation, infrared photons      452
Electromagnetic radiation, interaction Lagrangian      439 441 454
Electromagnetic radiation, Lagrangian      437 439
Electromagnetic radiation, longitudinal fields      438—439
Electromagnetic radiation, mass renormalization      451 454 459
Electromagnetic radiation, mode expansion      440 469
Electromagnetic radiation, multi-photon energy      442
Electromagnetic radiation, multi-photon wave functions      442
Electromagnetic radiation, orthonormality of modes      448
Electromagnetic radiation, particle Lagrangian      439 454
Electromagnetic radiation, photon mode functions      447
Electromagnetic radiation, spontaneous emission      462 464
Electromagnetic radiation, stimulated emission      464
Electromagnetic radiation, time-non-local effective action      448 449 456
Electromagnetic radiation, transverse fields      438—439
Electron      20
Electron charge      304
Electron density      408
Electron-electron interaction      405
Electron-volt      184
Electrostatic interaction energy      438
Electrostatic potential      316
Elementary particle      190
Emission, spontaneous      464
Emission, stimulated      464
End-point variation      210
Energy      183
Energy eigenstates, constant force      237 238
Energy eigenstates, free particle      237
Energy eigenstates, harmonic oscillator      230
Energy eigenstates, linear potential      253
Energy eigenvalues from time transformation function      230 234
Energy eigenvalues, charge in homogeneous magnetic field      325
Energy eigenvalues, harmonic oscillator      230 271
Energy eigenvalues, hydrogenic atoms      305
Energy eigenvalues, linear potential      254
Energy eigenvalues, parameter dependence of      307—309
Energy eigenvalues, two-dimensional oscillator      288
Energy quantum number      304
Energy, conservation of      197
Energy, potential      191
Equations of motion      195—197
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