Quantum statistical mechanics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2009
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Table of contents only Publisher description Inhaltsverzeichnis |
| Physical Description: | XIV, 414 S. |
| ISBN: | 9780521841467 |
Staff View
MARC
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| 245 | 1 | 0 | |a Quantum statistical mechanics |c William C. Schieve ; Lawrence P. Horwitz |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2009 | |
| 300 | |a XIV, 414 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Quantum statistics | |
| 650 | 0 | 7 | |a Quantenstatistik |0 (DE-588)4047991-2 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1804138807034904576 |
|---|---|
| adam_text | Contents
Preface
page
xi
1
Foundations of quantum statistical mechanics
1
1.1
The density operator and probability
1
1.2
The Gleason theorem and consequences
6
1.3
Calculation of averages of
observables
9
Appendix 1A: Gleason theorem
12
References
18
2
Elementary examples
19
2.1
Introduction
19
2.2
Harmonic oscillator
19
2.3
Spin one-half and two-level atoms
27
Appendix 2A: the Fokker-Planck equation
34
References
35
3
Quantum statistical master equation
37
3.1
Reduced
observables
37
3.2
The
Pauli
equation
39
3.3
The weak coupling master equation for open systems
42
3.4 Pauli
equation: time scaling
46
3.5
Reservoir states: rigorous results and models
53
3.6
The completely positive evolution
54
Appendix
ЗА:
Chapman-Kolmogorov master equation
57
References
59
4
Quantum kinetic equations
61
4.1
Introduction
61
4.2
Reduced density matrices and the B.B.G.Y.K. hierarchy
61
4.3
Derivation of the quantum Boltzmann equation
63
4.4
Phase space quantum Boltzmann equation
66
4.5
Memory of initial correlations
76
vi
Contents
4.6
Quantum
Vlasov
equation
79
Appendix 4A: phase space distribution functions
80
References
83
5
Quantum irreversibility
85
5.1
Quantum reversibility
85
5.2
Master equations and irreversibility
87
5.3
Time irreversibility of the generalized master and
Pauli
equations
87
5.4
Irreversibility of the quantum operator Boltzmann equation
89
5.5
Reversibility of the quantum
Vlasov
equation
90
5.6
Completely positive dynamical semigroup: a model
92
Appendix 5A: the quantum time reversal operator
94
References
96
6
Entropy and dissipation: the microscopic theory
98
6.1
Introduction
98
6.2
Macroscopic non-equilibrium thermodynamics
98
6.3
Dissipation and the quantum Boltzmann equation
105
6.4
Negative probability and the quantum Sj theorem 111
6.5
Entropy and master equations
113
Appendix 6A: quantum recurrence
120
References
121
7
Global equilibrium: thermostatics and the microcanonical
ensemble
123
7.1
Boltzmann s thermostatic entropy
124
7.2
Thermostatics
125
7.3
Canonical and grand canonical distribution of Gibbs
126
7.4
Equilibrium fluctuations
129
7.5
Negative probability in equilibrium
131
7.6
Non-interacting
fermions
and bosons
132
7.7
Equilibrium limit theorems
136
References
139
8
Bose-Einstein ideal gas condensation
141
8.1
Introduction
141
8.2
Continuum box model of condensation
142
8.3
Harmonic oscillator trap and condensation
145
8.4
4He: the
λ
transition
148
8.5
Fluctuations: comparison of the grand canonical and canonical
ensemble
150
8.6
A master equation view of
Bose
condensation
152
Appendix 8A: exact treatment of condensate traps
155
References
158
Contents
vii
9
Scaling, renormalization and the Ising model
159
9.1
Introduction
159
9.2
Mean field theory and critical indices
160
9.3
Scaling
167
9.4
Renormalization
169
9.5
Renormalization and scaling
172
9.6
Two-dimensional Ising model renormalization
174
References
177
10
Relativistic covariant statistical mechanics of many particles
178
10.1
Introduction
178
10.2
Quantum many-particle dynamics: the event picture
180
10.3
Two-event Boltzmann equation
183
10.4
Some results of the quantum event Boltzmann
equation
187
10.5
Relativistic quantum equilibrium event ensembles
191
References
197
11
Quantum optics and damping
199
11.1
Introduction
199
11.2
Atomic damping: atomic master equation
199
11.3
Cavity damping: the micromaser: detection
206
11.4
Detection master equation for the cavity field
207
Appendix
1
1A: the field quantization and interaction
214
References
219
12
Entanglements
221
12.1
Introduction
221
12.2
Entanglements: foundations
221
12.3
Entanglements:
Q
bits
224
12.4
Entanglement consequences: quantum
teleportation,
the Bob
and Alice story
226
12.5
Entanglement consequences: dense coding
228
12.6
Entanglement consequences: quantum computation
228
12.7
Decoherence: entanglement destruction
231
12.8
Decoherence correction (error correction)
235
Appendix 12A: entanglement and the Schmidt decomposition
236
References
238
13
Quantum measurement and irreversibility
240
13.1
Introduction
240
13.2
Ideal quantum measurement
241
13.3
Irreversibility: measurement master equations
243
13.4
An open system master equation model for measurement
246
viii Contents
13.5
Stochastic energy based collapse
248
References
251
14
Quantum Langevin equation and quantum Brownian motion
253
14.1
Introduction
253
14.2
Quantum Langevin equation
254
14.3
Quantum Langevin equation with measurement
260
References
262
15
Linear response: fluctuation and dissipation theorems
264
15.1
Introduction
264
15.2
Quantum linear response in the steady state
266
15.3
Linear response, time dependent
269
15.4
Fluctuation and dissipative theorems
272
15.5
Comments and comparisons
277
References
279
16
Time-dependent quantum Green s functions
281
16.1
Introduction
281
16.2
One- and two-time quantum Green s functions and
their properties
282
16.3
Analytic properties of Green s functions
284
16.4
Connection to linear response theory
288
16.5
Green s function hierarchy truncation
289
16.6
Keldysh time-loop path perturbation theory
297
References
302
17
Decay scattering
303
17.1
Basic notions and the Wigner-Weisskopf theory
303
17.2
Wigner-Weisskopf method: pole approximation
306
17.3
Wigner-Weisskopf method and Lee-Friedrichs model
with a single channel
312
17.4
Wigner-Weisskopf and multichannel decay
318
17.5
Wigner-Weisskopf method with many-channel decay:
the Lee-Friedrichs model
321
17.6
Geľfand
triple
332
17.7
Lax-Phillips theory
335
17.8
Application to the Stark model
354
References
362
18
Quantum statistical mechanics, extended
365
18.1
Intrinsic theory of irreversibility
365
18.2
Complex Liouvillian eigenvalue method: introduction
366
18.3
Operators and states with diagonal singularity
367
18.4
Super operators and time evolution
369
Contents ix
18.5
Subdynamics
and analytic
continuation
371
18.6
The
Pauli
equation revisited
375
References
378
19
Quantum transport with tunneling and reservoir ballistic transport
379
19.1
Introduction
379
19.2 Pauli
equation and boundary interaction
380
19.3
Ballistic transport
383
19.4
Green s function closed-time path theory to transport
385
References
389
20
Black hole thermodynamics
390
20.1
Introduction to black holes
390
20.2
Equilibrium thermodynamic analogies: the first law
394
20.3
The second law of thermodynamics and black holes
397
20.4
Extended entropy principle for black holes
399
20.5
Acausal evolution: extended irreversible dynamics
in black holes
401
References
402
A Problems
404
A.I Comments on the problems
404
A.2 Foundations problems
404
A.3 Kinetic dynamics problems
407
A.4 Equilibrium and phase transition problems
409
References
410
Index
411
|
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| author | Schieve, William C. 1929- Horwitz, Lawrence P. 1930- |
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| isbn | 9780521841467 |
| language | English |
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| spelling | Schieve, William C. 1929- Verfasser (DE-588)1019323663 aut Quantum statistical mechanics William C. Schieve ; Lawrence P. Horwitz 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2009 XIV, 414 S. txt rdacontent n rdamedia nc rdacarrier Quantum statistics Quantenstatistik (DE-588)4047991-2 gnd rswk-swf Quantenstatistik (DE-588)4047991-2 s DE-604 Horwitz, Lawrence P. 1930- Verfasser (DE-588)1019323701 aut http://www.loc.gov/catdir/enhancements/fy0903/2008047238-t.html Table of contents only http://www.loc.gov/catdir/enhancements/fy0903/2008047238-d.html Publisher description Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017307379&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schieve, William C. 1929- Horwitz, Lawrence P. 1930- Quantum statistical mechanics Quantum statistics Quantenstatistik (DE-588)4047991-2 gnd |
| subject_GND | (DE-588)4047991-2 |
| title | Quantum statistical mechanics |
| title_auth | Quantum statistical mechanics |
| title_exact_search | Quantum statistical mechanics |
| title_full | Quantum statistical mechanics William C. Schieve ; Lawrence P. Horwitz |
| title_fullStr | Quantum statistical mechanics William C. Schieve ; Lawrence P. Horwitz |
| title_full_unstemmed | Quantum statistical mechanics William C. Schieve ; Lawrence P. Horwitz |
| title_short | Quantum statistical mechanics |
| title_sort | quantum statistical mechanics |
| topic | Quantum statistics Quantenstatistik (DE-588)4047991-2 gnd |
| topic_facet | Quantum statistics Quantenstatistik |
| url | http://www.loc.gov/catdir/enhancements/fy0903/2008047238-t.html http://www.loc.gov/catdir/enhancements/fy0903/2008047238-d.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017307379&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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