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Thirring W., Harrell E.M. — Quantum Mathematical Physics. Atoms, Molecules and Large many-body Systems
Thirring W., Harrell E.M. — Quantum Mathematical Physics. Atoms, Molecules and Large many-body Systems

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Название: Quantum Mathematical Physics. Atoms, Molecules and Large many-body Systems

Авторы: Thirring W., Harrell E.M.

Аннотация:

This book is a new edition of Volumes 3 and 4 of Walter Thirring's famous textbook on mathematical physics. The first part is devoted to quantum mechanics and especially to its applications to scattering theory, atoms and molecules. The second part deals with quantum statistical mechanics examining fundamental concepts like entropy, ergodicity and thermodynamic functions. The author builds on an axiomatic basis and uses tools from functional analysis: bounded and unbounded operators on Hilbert space, operator algebras etc. Mathematics is shown to explain the axioms in depth and to provide the right tool for testing numerical data in experiments.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2-nd edition

Год издания: 2004

Количество страниц: 586

Добавлена в каталог: 06.02.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Additivity of entropy      340
Alpha entropy      339
Analytic operator      456
Analyticity of the partition function      385
Annihilation operator      303
Annihilation operator at a point      305
Anti-isomorphism      452
Anticommutation relations      304
Antisymmetric tensor product      302
Asymptotic commutativity      306
Asymptotically Abelian      306
Autocorrelation function      439
Automorphism group      304
Average energy      350 352
Birkhoff's Ergodic Theorem      439
Black-body radiation      414
Boltzmann's constant      363
Bose condensation      417 463
Bosons in an external field      399
Bounds for F      387
Brownian motion      430
Canonical density matrix      348
canonical ensemble      382
Canonical free energy      349
Canonical partition function      384
Cauchy — Schwarz inequality      330
Chain of oscillators      428
Chain of spins      287
Chaotic state      327
Characterizations of ergodic states      448
chemical potential      366
Classical bounds on P      402
Classical dynamical systems      423
Classical entropy      342
Classical free energy      385
Classical limit      401 508
Clausius — Clapeyron equation      410
Coarse-grained density matrix      335
Coexistence of phases      379
Coherent states      342
Commutation relations      304
Completely positive      427
Compressibility      365
Constants of motion      284 290
Continuity of the entropy      350
Convergence of expectation values      517
Convexity      329
Cosmic bodies      299
Covariance algebra      423
Creation operator      303
Critical point      378
Decomposition by factors      317 460
Decomposition by the center      460
Decomposition of representations      317
Degenerate Bose gas      412
Degenerate gas      407
Density matrix      328
Diamagnetism      412
Doubly stochastic matrix      334
Duality for the subspaces of $\mathcal{B}(\mathcal{H})$      328
Dynamical semigroup      432
Effective one-particle density matrix      400
Effective one-particle entropy      401
Electron density      504
Energy density      355
entropy      292 339
Entropy density      353
Entropy difference      347
Envelope      368
Equilibrium condition      361 362
Equilibrium state      284
Equivalence of the ensembles      391
Ergodic hypothesis      285
Ergodic quantum system      466
Ergodic theorem      323 435
Extensive quantities      356
Extensivity      293 298
Factor type      321
Faithful trace      320
Ferromagnet      370 425 463
Feynman — Hellmann formula      527
Field algebra      303
Field quantization      303
Finite trace      320
Fock space      302
Free bosons      287 294 450
Free energy      348
Free energy density      392
Free fermions      287 296 426 436 439 448 449 468
Free particles      294 407
Free time-evolution      304—308
Gauge transformation      307
Generating functional      416
Gibb's phase rule      379
Golden — Thompson — Symanzik inequality      332
grand canonical ensemble      397
Grand canonical state of an infinite system      417
Group of automorphisms      304
heat capacity      363
Heat death      414
Heat reservoir      363
Hoelder's inequality      330
Infinite tensor product      312 313
Intensive quantities      356 367
Jellium      295
Khinchin's ergodic theorem      323
Klein's inequality      330
KMS condition      454
Krein — Milman theorem      334
Kubo — Martin — Schwinger condition      454
Large atoms      293
Legendre transformation      390
Lieb — Ruskai inequality      347
Lieb's theorem      330
Local algebra      305
Master equation      429
Maximum principle      397
Maximum temperature      367
Maximum-entropy principle      362 401
Metastable phase      379
Microcanonical density matrix      352
microcanonical ensemble      352
Mixing class      334
Modular automorphism      454 465
Monotony of the energy      354
Monotony of the entropy      340
Monotony of the relative entropy      432
Monotony of the trace      330
Negative specific heat      363
Negative temperature      358 363 481
Normal n-positive      427
Normal state      328
Normal trace      320
Observables at a point      308
Occupation number      415
Open system      426
Operator-valued distribution      305
Ordering of density matrices      333
Ordering of states      327
Ordering property of traces      321
Partial trace      345
Particle current at a point      308
Particle density at a point      308
Particle number      300
Particle number operator      307
Particles in a magnetic field      410
Partition function      384
Passivity      470
Peierls — Bogoliubov inequality      330
Peierls's inequality      329
Phase-space volume      343
Phase-transition      379
Pressure      364 397
Principle of maximum entropy      397
Properties of entropy      339
Pure phase      378 438
Quadruple point      379
Quasilocal algebra      305
Radiative reaction      430
Real matter      297
Recurrence time      284 285 288
Reduced density matrix      345
Relative entropy      348
Representations of infinite tensor products      313
Reservoir      362
Second quantization      303
Semifinite trace      320
Separating      305
Spatially asymptotic dynamical stability      474
Specific heat at constant volume      363
Spin chain      287
Spin echo      289
Spin in a magnetic field      424
Stability condition      363 366 477
Stability of matter      298
Star      301
Statistical ergodic theorem      449
Subadditivity of the energy      354
Subadditivity of the energy difference      348
Subadditivity of the entropy      345
Sunlight      414
Symmetric tensor product      302
Temperature      363
Thermal representation      315 316 424
Thermal reservoir      363
Thermodynamic limit      355
Thermodynamic observables      367
Thermodynamic phases      378
Thermodynamic stability      368
Third law of thermodynamics      368
Time-average      433
Time-average of observables      433
Time-evolution      423
Trace      319
Translations      305 307
Triangle inequality for entropy      347
Triple point      378
Ultraweak topology      328
Unitarily implementable      309
Unitary representability of automorphism      305
Vacuum vector      302
von Neumann entropy      340
Weyl algebra      303
Weyl operators      303
Young's inequality      332
Zero-point energy      409
Zero-point pressure      409
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