Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Thaller B. — The Dirac equation
Thaller B. — The Dirac equation



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: The Dirac equation

Автор: Thaller B.

Аннотация:

The Dirac Equation is a modern presentation of the relativistic quantum mechanics of electrons intended to make new mathematical results accessible to a wider audience. It treats in some depth the relativistic invariance of a quantum theory, self-adjointness and spectral theory, qualitative features of relativistic bound and scattering states, and the external field problem in quantum electrodynamics, without neglecting the interpretational difficulties and limitations of the theory. A novel feature is the extensive use of supersymmetric quantum mechanics in the discussions of, e.g. the nonrelativistic limit, Fredholm and Witten indices, the relativistic Coulomb problem, particles with anomalous moments, behaviour in the presence of magnetic fields, and soliton theory. The book is aimed at scientists and graduate students interested in quantum mechanics who want to learn about the mathematical foundations, the physical interpretation and important applications of Dirac's electron theory.


Язык: en

Рубрика: Механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: and

Год издания: 1992

Количество страниц: 357

Добавлена в каталог: 04.12.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Potential — Coulomb, spherically symmetric      122
Potential — Coulomb, step      121
Principle of minimal coupling      109
Principle of relativity      43
Projective representation      51
Projective state space      50
Propagation properties      236
Propagator      117
Proper Lorentz group      46
Proper Poincare group      48
Proper time      303
Pseudovector potential      111
Radial Dirac operator      128 146 207 208
Ray      50
Reducible      53
Reflection coefficient      121 263
Reflectionless potential      263
Regularized index      160 265
Relativistic correction      188
Representation      53
Representation, classification      93
Representation, covariant      94
Representation, discrete transformations      105
Representation, induced      83
Representation, irreducible      53
Representation, lifting      53
Representation, projective      51
Representation, projective unitary      52
Representation, unitary      53
Resolvent      39 131 178
Resolvent, analyticity      181
Resonance      137 307 309
Rotation      44 70 74 122
Rotation group      45
Rotation vector      44
Scalar potential      108 151 173 305 310
Scattering data      268
Scattering operator      225
Scattering operator, relativistic corrections      312
Scattering operator, time dependent field      248
Scattering state      223 224
Scattering theory — completeness      224
Scattering theory — completeness, existence      224
Schrodinger operator      153 189 195 253
Schrodinger picture      297
Schur’s lemma      53 84
Schwinger term      294
Second cohomology group      64
Second quantization      275
Self-adjointness      112 306
Self-adjointness of $H_0$      11
Self-adjointness supercharge      142
Semiclassical methods      308
Semidirect product      47 83
Separable potential      191
Shale — Stinespring criterion      289
Shift operator      295
Short-range potential      227
Singularly continuous spectrum      225
Sobolev space      7
Soliton      256
Soliton solution      269
Space inversion      46
Space reflection      71 75
Space translations      8
Space-time reflection      75
Spectral asymmetry      166 310
Spectral family      5
Spectral measure      5
Spectral shift function      161
Spectral subspace      10
Spectral subspace, continuous      223
Spectral supersymmetry      144
Spectral transform      13
Spectroscopic notation      217
Spectrum of $H_0$      11
Spherical harmonics      126
Spherical symmetry      122
Spin      8
Spin geometry      305
Spin-orbit operator      125
Spin-orbit term      190
Spinor      69
Spinor representation      60
Spontaneous pair creation      299
Square-root Klein — Gordon equation      2 302
Stability group      86
Standard position operator      7 227
Standard representation      3 36 141
Standard velocity operator      19
State      4
Stationary phase      33
Stationary scattering theory      219 315
Step potential      120
Stochastic interpretation      303
Stone’s theorem      5
Strong resolvent convergence      232
Subsidiary condition      82
Subspace of positive energies      10
Summation convention      43
Supercharge      140
Supercharge — associated      140
Supercharge — associated, self-adjointness      142
Superluminal propagation      28
Supersymmetric Dirac operator      154 242
Supersymmetric partner      213
Supersymmetric representation      36
Supersymmetric scattering theory      242 310
Supersymmetry      208 308
Supersymmetry of the spectrum      144
Supertrace      160
Support      31
Symmetry transformation      51
Temple’s operator      215
Thomas precession      190
Time evolution      5 282
Time evolution, modifications      240
Time evolution, operator      15
Time reversal      46 75 104
Time-dependent field      248
Topological invariance of the index      167
Trace      159
Trace class      159
Trace norm      159
Transition probability      6 51
Translation      47
Transmission coefficient      121 263
Transversal gauge      245
Ultrarelativistic limit      310
Unique continuation property      308
Unitarity condition      287
Unitary group      293
Unitary implementability      287
Unitary involution      139
Unitary propagator      117
Unitary representation      53
Universal covering group      59
VACUUM      277
Vacuum polarization      316 319
Vector potential      109 119 194 195
Velocity      19
Virial theorem      134 308
Water waves      256
Wave equation      305
Wave operators      224
Wave operatorsmodifications      241
wavefunction      5
Wavefunction, Poincar$\acute{e}$ transformation      101
Wavefunction, support properties      31
Weil representation      36 73
Weyl equation      4
Weyl’s theorem      114
Wigner states      90
Wigner — Bargmann theorem      51
Wiist’s theorem      62 112
Witten index      165
Yamaguchi potential      191
Yang — Mills — Higgs monopole      311
Zitterbewegung      19 190 227 244 303
Zitterbewegung external fields      230
1 2
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2024
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте