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Mackey G. — Unitary Group Representations in Physics, Probability and Number Theory
Mackey G. — Unitary Group Representations in Physics, Probability and Number Theory

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Название: Unitary Group Representations in Physics, Probability and Number Theory

Автор: Mackey G.

Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1978

Количество страниц: 414

Добавлена в каталог: 06.03.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$L_{\Omega}$ valued measure      163
$\pi$-meson      268
$\sigma$ Fourier transform      394
$\sigma$ representation      81 384 385
Abelian extension      318
Absolute temperature      279 286
Adele      323 328
Adele group      40 338 347 388 393
Adele group of algebraic group      346
Adele group of semi-direct product      353
Adele group, Archimedean component      344
Adele group, non-Archimedean component      344
Adele, principal      388
Adiabatic curve      276
Adjoint representation      101
Algebraic group      323
Algebraic integer      314
Algebraic number field      313 314 317 346
Algebraic number field, additive group of      340
Algebraic number field, multiplicative group of      340
Almost periodic function      151 304 333 334
Alternating group      94
Amenability      157
Analytic Borel group      33
Analytic Borel space      32
Analytic function      306 307
Analyticity, causality and      248
angular momentum      172
Annihilator      41
Anti-commutation relations      257 258
Anti-particle      260
Anti-symmetric reduction      224 228
Artin L series      327
Asymptotic formula(s)      320 321 322 329
Asymptotic formula(s) for eigenvalues      296 297
atom      230 234
Atom in Boolean algebra of projections      55
Atomic spectra      234
Atomic weight      231
Autocorrelation coefficient      333
Autocorrelation function      150 152
Automorphic form      128 248 358 361 362 370 372 380 382 383 387
Automorphic forms of non-integral weight      379
Automorphic function      312 357 358
Automorphism of Hilbert bundle      64
B-N pair      129
Binary quadratic form      312 315 316
Binding energy      228
Black body radiation      293
Bochner — Herglotz theorem, generalized      148
Bohm — Aharonon effect      211
Bohr — Fourier series      304
Boltzmann's constant      286 295
Borel cocycle      140
Borel cross section of Hilbert bundle      50
Borel function      31
Borel G-space      33
Borel group      33
Borel Hilbert bundle      49
Borel set      30
Borel space      31
Borel structure      33 52
Borel subgroup      98 110
Bose — Einstein statistics      225
Boson      225 229 257
Boson field      299
Bound state      219 220 228 230 233 244
Bound states, interaction of      226 227
Boundary of homogeneous space      363
Branching law      103
Brownian motion      152
Brownian motion, flow of      138
C* algebra      302
Canonical quantization      211
Carnot cycle      278
Cartan subgroup      98 109 132
Cauchy integral formula      308
Causality and analyticity      248
Center of algebra      19
Central decomposition      57
Chance variable      143
Chaos      144 145 147 149
CHARACTER      5 10 20 25 36 38
Character group      38
Charge      214 250
Charge number of nucleus      229
Circle method      320
Class field theory      313 318 338
Class function      19
Class number      314 315 317
Classical Hamiltonian      206
Classical limit      204 206 207 265
Classical mechanics      160 163
Classical statistical mechanics      166 232
Clebsch — Gordon formula      103
Cohomology class      141
Commutative subgroup      98
Commutativity, local      266
Commuting algebra      11 238
Compactification of homogeneous space      364
Compactification of Riemann surface      358
Complementary series      372
Complementary subrepresentation      14
Complete Boolean algebra of projections      56
Complex simple Lie group      90
Complex vector bundle      118
Complexification of Lie algebra      89
Congruence      313
Congruence subgroup      356
Conjugate class      19
Connected Lie group      87
Conservation of energy, law of      170
Conservation of momentum, law of      172
Constant energy hypersurface      282
Constructive quantum field theory      269
Continuous center      55
Continuous direct sum      2
Continuous stationary stochastic process      152
Convolution      19
Correlation      147
Correlation coefficient      146
Coulumb forces      214
Covariance algebra      302
Cross section of Hilbert bundle      49
Crystal      231
Cusp      359 360 361 370 377
Cusp form      128 361 362 365 368 370
Cusp form as intertwining operator      371
Cyclic vector      147
Degenerate series      113
Differentiable chaos      144
Diophantine equation      313 328 353
Diophantine problems      317
Dirac field      260
Dirac quantization of electromagnetic field      254 256
Direct integral      2 49 51 72 135
Direct product of two groups      6
Direct sum of representations      8 10
Direct sum, infinite      35
Dirichlet series      300 303 315 316 321 323 324 328 329 330 331 372 376 381
Discrete series      120 123 127 370 372
Discriminant      314
Disjoint representations      12 35
Dispersion relations      242
Domain of positivity      310
Double coset intertwining operator      130 375 378
Dual group      38
Dynamical group      168 264
Dynamical group for one particle system      183
Dynamical variable      161
Eightfold way      104 268
Einstein's formula for specific heat      294
Eisenstein integral      128
Eisenstein series      128 326 361 362 365 368 370 381 387 388
Eisenstein series for non-analytic automorphic forms      375
Eisenstein series, analytic continuation of      376 382
Eisenstein — Siegel series      389 390
Electric charge      214
electric field      250
Electrical forces      214
electromagnetic field      292
Electromagnetic waves      251
Electromagnetism      249
Electron      214 229 230 292
Electron mass      229
Electron positron field      260
Electron spin      229
Elementary particle      228
Elementary particles, symmetries of      267
Elliptic function      316 317
Energy Observable      169
Energy of formation of molecule      230
Energy operator      169
Energy, binding      228
Energy, free      280 290
Energy, internal      286
Energy, kinetic      208 209
Energy, potential      208 209
entropy      138 279 288 289
Equation of state      277
Equivalence of representations      10
Equivalence of unitary representations      34
Ergodic      66 133 136 137 263
Ergodic action      264 307
Ergodic invariant measure classes      134
Ergodic theorem(s)      134 151
Ergodic theorem(s), mean      135
Ergodic theory      269 302 303
Ergodicity, probabilistic significance of      148 149
Essentially transitive      134
Ether      251
Euclidean group      115 171 199 238 269
Euclidean invariance      175 180 182 204 238
Euler product      299 316 321 381
Exceptional complex Lie algebra      91
Exceptional Lie algebra      93
Exceptional Lie group      94
Exchange forces      228
Excited state      230
Expected value of observable      167
Factor      62
Factor representation      63
Fermi — Dirac statistics      225
Fermion      225 229
Field of force      249
Fields, interactions between      258
Finite simple group      93
First law of thermodynamics      275 276
force      209
Fourier transform in complex domain      309
Free energy      280 290
Frobenius reciprocity theorem      70 371
Functional equation      321
Functional equation for zeta function      316
Fundamental domain      358
Fundamental particle      228
G-bundle isomorphism      64
G-space      1
Galilean group      191 198 238 251 255
Galilean invariance      198 201 207 214 238 240
Galilean relativity      186 189 190 198 233
Gas      232
Gauge field      271
Gaussian integer      314 317
Gelfand — Harish Chandra principle      131 132
Generalized character      304
Generalized Fourier transform      43 44
Generalized harmonic analysis      152
Generalized harmonic analysis of Wiener      333
Generalized Poisson summation formula      325
Generating function      320 321 324 328 329
Genus of quadratic form      387
Gleason's theorem      166 194
Global class field theory      339
Grand partition function      332
Gravitational forces      214
Groessencharacter      323
Ground state      221 230
Group algebra      19
Group representation      3
Group velocity      188
Haar measure, left invariant      31
Hadron interactions      270
Hamiltonian form      206 208
Hamiltonian operator      169
Hardy — Littlewood results in Waring's problem      334 354 360 362
Harmonic analysis of sample functions      152
harmonic oscillator      291 292 294
Hasse principle      338
Heat      272
Heat, quantity of      274
Heat, specific      274
Hecke operator      371 372
Heisenberg commutation relations      180 181 182 260
High temperatures, agreement of classical and quantum statistical mechanics at      292
Higher reciprocity law      318
Highest weight of representation      99
Hilbert bundle      49
Hilbert G bundle      64 140
Hilbert space      34
Holomorphic cross sections      119
Homogeneous chaos      144 145 146 264
Homogeneous space, boundary of      363
Horosphere      377
Horospherical method      130 378
Horospherical subgroup      377
Hurwitz integral      83
Ideal      314 317
Ideal class      317
Ideal of Lie algebra      89
Idele group      322 323 339 346
Identity of particles, significance of      224 225
Imprimitivity theorem      72 175 181 200 201 248
Imprimitivity, system of      71 175 181 248 262
Imprimitivity, transitive system of      217
Independence of random variables      143
Index theorem      130
Indistinguishability of particles      257
Induced $\sigma$ representation      179 385
Induced characters      353
Induced ergodic action      140
Induced representation      65 67 69 175 234 325 341 342 363 373 378
Induced representation, character of      348 349 374
Inducing in stages      71 368
information      284
Information theory      138 295
Inhomogeneous Lorentz group      252 259 265
Inner Kronecker product      27 28
Inner Kronecker product of induced representations      234
Integral of motion      170
Integrated periodogram      152
Interacting particles      281
Interaction between quantum mechanical particles      201
Interaction law      228
Interaction operator      216
Interactions between fields      258
Internal energy      286
Intertwining number      11
Intertwining operator      11 145 146 147 156 237 263 264 366 369 370 381
Intertwining operator for induced representations      365
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