Quantum field theory of non-equilibrium states:
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| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge Univ. Press
2007
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| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | XIII, 536 S. graph. Darst. |
| ISBN: | 9780521874991 9780521188005 |
Internformat
MARC
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| 020 | |a 9780521874991 |c hardback |9 978-0-521-87499-1 | ||
| 020 | |a 9780521188005 |c paperback |9 978-0-521-18800-5 | ||
| 035 | |a (OCoLC)255761246 | ||
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| 084 | |a UO 4000 |0 (DE-625)146237: |2 rvk | ||
| 100 | 1 | |a Rammer, Jørgen |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Quantum field theory of non-equilibrium states |c Jørgen Rammer |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge |b Cambridge Univ. Press |c 2007 | |
| 300 | |a XIII, 536 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Hier auch später erschienene, unveränderte Nachdrucke | ||
| 650 | 4 | |a Nonequilibrium statistical mechanics | |
| 650 | 4 | |a Quantum field theory | |
| 650 | 0 | 7 | |a Nichtgleichgewicht |0 (DE-588)4171730-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quantenstatistik |0 (DE-588)4047991-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quantenfeldtheorie |0 (DE-588)4047984-5 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
| 689 | 0 | 0 | |a Quantenfeldtheorie |0 (DE-588)4047984-5 |D s |
| 689 | 0 | 1 | |a Nichtgleichgewicht |0 (DE-588)4171730-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Quantenstatistik |0 (DE-588)4047991-2 |D s |
| 689 | 1 | 1 | |a Nichtgleichgewicht |0 (DE-588)4171730-2 |D s |
| 689 | 1 | |5 DE-604 | |
| 856 | 4 | 2 | |m Digitalisierung UB Augsburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015669721&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-015669721 | ||
Datensatz im Suchindex
| _version_ | 1804136545735671808 |
|---|---|
| adam_text | Contents
Preface
xi
1 Quantum
fields
1
1.1
Quantum mechanics
............................ 2
1.2
iV-particle system
.............................. 5
1.2.1
Identical particles
......................... 6
1.2.2
Kinematics of
fermions
....................... 9
1.2.3
Kinematics of bosons
........................ 11
1.2.4
Dynamics and probability current and density
......... 13
1.3
Fermi field
.................................. 14
1.4
Bose
field
.................................. 23
1.4.1 ,
Phonons
............................... 25
1.4.2
Quantizing a classical field theory
................ 26
1.5
Occupation number representation
.................... 29
1.6
Summary
.................................. 31
2
Operators on the multi-particle state space
33
2.1
Physical
observables
............................ 33
2.2
Probability density and number operators
................ 37
2.3
Probability current density operator
................... 40
2.4
Interactions
................................. 42
2.4.1
Two-particle interaction
...................... 42
2.4.2
Fermion-boson interaction
..................... 45
2.4.3
Electron phonon interaction
.................... 45
2.5
The statistical operator
.......................... 48
2.6
Summary
.................................. 52
3
Quantum dynamics and Green s functions
53
3.1
Quantum dynamics
............................. 53
3.1.1
The
Schrödingcr
picture
...................... 54
3.1.2
The
Heisenberg
picture
...................... 56
3.2
Second quantization
............................ 60
3.3
Green s functions
.............................. 62
3.3.1
Physical properties and Green s functions
............ 62
3.3.2
Stable of one-particle Green s functions
............. 64
3.4
Equilibrium Green s functions
...................... 70
3.5
Summary
.................................. 77
4
Non-equilibrium theory
79
4.1
The non-equilibrium problem
....................... 79
4.2
Ground state formalism
.......................... 81
4.3
Closed time path formalism
........................ 84
4.3.1
Closed time path Green s function
................ 87
4.3.2
Non-equilibrium perturbation theory
...............
9Ü
4.3.3
Wick s theorem
........................... 94
4.4
Non-equilibrium diagrammatics
...................... 103
4.4.1
Particles coupled to a classical field
................ 104
4.4.2
Particles coupled to a stochastic field
............... 106
4.4.3
Interacting
fermions
and bosons
................. 107
4.5
The self-energy
............................... 113
4.5.1
Non-equilibrium Dyson equations
................. 116
4.5.2
Skeleton diagrams
......................... 117
4.6
Summary
.................................. 119
5
Real-time formalism
121
5.1
Real-time matrix representation
...................... 121
5.2
Real-time diagrammatics
.......................... 123
5.2.1
Feynman rules for a scalar potential
............... 123
5.2.2
Feynman rules for interacting bosons and
fermions
....... 125
5.3
Triagonal and symmetric representations
................. 127
5.3.1
Fermion-boson coupling
...................... 129
5.3.2
Two-particle interaction
...................... 131
5.4
The real rules: the RAK-rules
....................... 133
5.5
Non-equilibrium Dyson equations
..................... 135
5.6
Equilibrium Dyson equation
........................ 138
5.7
Real-time versus imaginary-time formalism
............... 140
5.7.1
Imaginary-time formalism
..................... 140
5.7.2
Imaginary-time Green s functions
................. 142
5.7.3
Analytical continuation procedure
................ 143
5.7.4
Kadanoff Baym equations
..................... 148
5.8
Summary
.................................. 149
6
Linear response theory
151
6.1
Linear response
............................... 151
6.1.1
Density response
.......................... 152
6.1.2
Current response
.......................... 155
6.1.3
Conductivity tensor
........................ 158
6.1.4
Conductance
............................ 159
6.2
Linear response of Green s functions
................... 159
6.3
Properties of response functions
...................... 164
6.4
Stability of the thermal equilibrium state
................ 165
6.5
Fluctuation dissipation
theorem .....................
169
6.6
Time-reversal symmetry
.......................... 173
6.7
Scattering and correlation functions
................... 174
6.8
Summary
.................................. 178
7
Quantum kinetic equations
179
7.1
Left- right subtracted Dyson equation
.................. 179
7.2
Wigner or mixed coordinates
....................... 181
7.3
Gradient approximation
.......................... 184
7.3.1
Spectral weight function
...................... 185
7.3.2
Quasi-particle approximation
................... 186
7.4
Impurity scattering
............................. 188
7.4.1
Boltzmannian motion in a random potential
........... 192
7.4.2
Brownian motion
.......................... 193
7.5
Quasi-classical
Greerťs
function technique
................ 198
7.5.1
Electron-phonon interaction
..................... 200
7.5.2
Renormalization of the a.c. conductivity
............. 206
7.5.3
Excitation representation
..................... 207
7.5.4
Particle conservation
........................ 209
7.5.5
Impurity scattering
......................... 211
7.6
Beyond the quasi-classical approximation
................ 211
7.6.1
Thermo-electrics and magneto-transport
............. 215
7.7
Summary
.................................. 216
8
Non-equilibrium superconductivity
217
8.1
BCS-theory
.................................219
8.1.1
Nambu
or particle-hole space
...................225
8.1.2
Equations of motion in Nambu-Keldysh space
.........228
8.1.3 ·
Green s functions and gauge transformations
..........231
8.2
Quasi-classical Green s function theory
..................232
8.2.1
Normalization condition
......................235
8.2.2
Kinetic equation
..........................236
8.2.3
Spectral densities
..........................236
8.3
Trajectory Green s functions
........................238
8.4
Kinetics in a dirty superconductor
....................242
8.4.1
Kinetic equation
..........................244
8.4.2
Ginzburg Landau regime
.....................246
8.5
Charge imbalance
..............................249
8.6
Summary
..................................251
9
Diagrammatics and generating functionals
253
9.1
Diagrammatics
...............................254
9.1.1
Propagators and vertices
......................255
9.1.2
Amplitudes and superposition
...................258
9.1.3
Fundamental dynamic relation
..................261
9.1.4
Low order diagrams
........................265
9.2
Generating functional
...........................270
9.2.1
Functional differentiation
.....................272
9.2.2
From diagrammatics to differential equations
..........274
9.3
Connection to operator formalism
.....................281
9.4
Fermions
and
Grassmann
variables
....................282
9.5
Generator of connected amplitudes
....................284
9.5.1
Source derivative proof
.......................284
9.5.2
Combinatorial proof
........................290
9.5.3
Functional equation for the generator
..............294
9.6
One-particle irreducible vertices
......................296
9.6.1
Symmetry broken states
......................301
9.6.2
Green s functions and one-particle irreducible vertices
.....302
9.7
Diagrammatics and action
.........................306
9.8
Effective action and skeleton diagrams
..................307
9.9
Summary
..................................312
10
Effective action
313
10.1
Functional integration
...........................313
10.1.1
Functional Fourier transformation
................314
10.1.2
Gaussian integrals
.........................315
10.1.3
Fermionic path integrals
......................319
10.2
Generators as functional integrals
....................320
10.2.1
Euclid versus Minkowski
......................323
10.2.2
Wick s theorem and functionals
..................324
10.3
Generators and 1PI vacuum diagrams
..................330
10.4
1PI loop expansion of the effective action
................333
10.5
Two-particle irreducible effective action
.................339
10.5.1
The 2PI loop expansion of the effective action
..........346
10.6
Effective action approach to
Bose
gases
.................351
10.6.1
Dilute
Bose
gases
..........................351
10.6.2
Effective action formalism for bosons
...............352
10.6.3
Homogeneous
Bose
gas
.......................356
10.6.4
Renormalization of the interaction
................359
10.6.5
Inhomogeneous
Bose
gas
......................363
10.6.6
Loop expansion for a trapped
Bose
gas
..............365
10.7
Summary
..................................372
11
Disordered conductors
373
11.1
Localization
.................................373
11.1.1
Scaling theory of localization
...................374
11.1.2
Coherent backscattering
......................377
11.2
Weak localization
..............................388
11.2.1
Quantum correction to conductivity
...............388
11.2.2
Cooperou
equation
.........................392
11.2.3
Quantum interference and the Cooperon
.............398
11.2.4
Quantum interference in a magnetic field
............402
11.2.5
Quantum
interference in a time-dependent field
......... 404
11.3
Phase breaking in weak localization
.................... 408
11.3.1
Electron phonon interaction
.................... 410
11.3.2-
Electron-electron interaction
................... 416
11.4
Anomalous magneto-resistance
...................... 423
11.4.1
Magneto-resistance in thin films
................. 424
11.5
Coulomb interaction in a disordered conductor
............. 428
11.6
Mesoscopic fluctuations
.......................... 437
11.7
Summary
.................................. 448
12
Classical statistical dynamics
449
12.1
Field theory of stochastic dynamics
....................450
12.1.1
Langevin
dynamics
.........................450
12.1.2
Fluctuating linear oscillator
....................451
12.1.3
Quenched disorder
.........................454
12.1.4
Dynamical index notation
.....................455
12.1.5
Quenched disorder and diagrammatics
..............457
12.1.6
Over-damped dynamics and the Jacobian
............459
12.
2Magnetic properties of
type
-П
superconductors
..............460
12.2.1
Abrikosov vortex state
.......................460
12.2.2
Vortex lattice dynamics
......................462
12.3
Field theory of pinning
...........................464
12.3.1
Effective action
...........................467
12.4
Self-consistent theory of vortex dynamics
................469
12.4.1
Hartree
approximation
.......................470
12.5
Single vortex
................................472
12.5.1.
Perturbation theory
........................473
12.5.2
Self-consistent theory
.......................474
12.5.3
Simulations
.............................476
12.5.4
Numerical results
..........................476
12.5.5
Hall force
..............................482
12.6
Vortex lattice
................................487
12.6.1
High-velocity limit
.........................488
12.6.2
Numerical results
..........................489
12.6.3-
Hall force
..............................492
12.7
Dynamic melting
..............................493
12.8
Summary
..................................500
Appendices
501
A Path integrals
503
В
Path integrals and symmetries
511
С
Retarded and advanced Green s functions
513
D
Analytic properties of Green s functions
517
Bibliography
523
Index
531
|
| adam_txt |
Contents
Preface
xi
1 Quantum
fields
1
1.1
Quantum mechanics
. 2
1.2
iV-particle system
. 5
1.2.1
Identical particles
. 6
1.2.2
Kinematics of
fermions
. 9
1.2.3
Kinematics of bosons
. 11
1.2.4
Dynamics and probability current and density
. 13
1.3
Fermi field
. 14
1.4
Bose
field
. 23
1.4.1 ,
Phonons
. 25
1.4.2
Quantizing a classical field theory
. 26
1.5
Occupation number representation
. 29
1.6
Summary
. 31
2
Operators on the multi-particle state space
33
2.1
Physical
observables
. 33
2.2
Probability density and number operators
. 37
2.3
Probability current density operator
. 40
2.4
Interactions
. 42
2.4.1
Two-particle interaction
. 42
2.4.2
Fermion-boson interaction
. 45
2.4.3
Electron phonon interaction
. 45
2.5
The statistical operator
. 48
2.6
Summary
. 52
3
Quantum dynamics and Green's functions
53
3.1
Quantum dynamics
. 53
3.1.1
The
Schrödingcr
picture
. 54
3.1.2
The
Heisenberg
picture
. 56
3.2
Second quantization
. 60
3.3
Green's functions
. 62
3.3.1
Physical properties and Green's functions
. 62
3.3.2
Stable of one-particle Green's functions
. 64
3.4
Equilibrium Green's functions
. 70
3.5
Summary
. 77
4
Non-equilibrium theory
79
4.1
The non-equilibrium problem
. 79
4.2
Ground state formalism
. 81
4.3
Closed time path formalism
. 84
4.3.1
Closed time path Green's function
. 87
4.3.2
Non-equilibrium perturbation theory
.
9Ü
4.3.3
Wick's theorem
. 94
4.4
Non-equilibrium diagrammatics
. 103
4.4.1
Particles coupled to a classical field
. 104
4.4.2
Particles coupled to a stochastic field
. 106
4.4.3
Interacting
fermions
and bosons
. 107
4.5
The self-energy
. 113
4.5.1
Non-equilibrium Dyson equations
. 116
4.5.2
Skeleton diagrams
. 117
4.6
Summary
. 119
5
Real-time formalism
121
5.1
Real-time matrix representation
. 121
5.2
Real-time diagrammatics
. 123
5.2.1
Feynman rules for a scalar potential
. 123
5.2.2
Feynman rules for interacting bosons and
fermions
. 125
5.3
Triagonal and symmetric representations
. 127
5.3.1
Fermion-boson coupling
. 129
5.3.2
Two-particle interaction
. 131
5.4
The real rules: the RAK-rules
. 133
5.5
Non-equilibrium Dyson equations
. 135
5.6
Equilibrium Dyson equation
. 138
5.7
Real-time versus imaginary-time formalism
. 140
5.7.1
Imaginary-time formalism
. 140
5.7.2
Imaginary-time Green's functions
. 142
5.7.3
Analytical continuation procedure
. 143
5.7.4
Kadanoff Baym equations
. 148
5.8
Summary
. 149
6
Linear response theory
151
6.1
Linear response
. 151
6.1.1
Density response
. 152
6.1.2
Current response
. 155
6.1.3
Conductivity tensor
. 158
6.1.4
Conductance
. 159
6.2
Linear response of Green's functions
. 159
6.3
Properties of response functions
. 164
6.4
Stability of the thermal equilibrium state
. 165
6.5
Fluctuation dissipation
theorem .
169
6.6
Time-reversal symmetry
. 173
6.7
Scattering and correlation functions
. 174
6.8
Summary
. 178
7
Quantum kinetic equations
179
7.1
Left- right subtracted Dyson equation
. 179
7.2
Wigner or mixed coordinates
. 181
7.3
Gradient approximation
. 184
7.3.1
Spectral weight function
. 185
7.3.2
Quasi-particle approximation
. 186
7.4
Impurity scattering
. 188
7.4.1
Boltzmannian motion in a random potential
. 192
7.4.2
Brownian motion
. 193
7.5
Quasi-classical
Greerťs
function technique
. 198
7.5.1
Electron-phonon interaction
. 200
7.5.2
Renormalization of the a.c. conductivity
. 206
7.5.3
Excitation representation
. 207
7.5.4
Particle conservation
. 209
7.5.5
Impurity scattering
. 211
7.6
Beyond the quasi-classical approximation
. 211
7.6.1
Thermo-electrics and magneto-transport
. 215
7.7
Summary
. 216
8
Non-equilibrium superconductivity
217
8.1
BCS-theory
.219
8.1.1
Nambu
or particle-hole space
.225
8.1.2
Equations of motion in Nambu-Keldysh space
.228
8.1.3 ·
Green's functions and gauge transformations
.231
8.2
Quasi-classical Green's function theory
.232
8.2.1
Normalization condition
.235
8.2.2
Kinetic equation
.236
8.2.3
Spectral densities
.236
8.3
Trajectory Green's functions
.238
8.4
Kinetics in a dirty superconductor
.242
8.4.1
Kinetic equation
.244
8.4.2
Ginzburg Landau regime
.246
8.5
Charge imbalance
.249
8.6
Summary
.251
9
Diagrammatics and generating functionals
253
9.1
Diagrammatics
.254
9.1.1
Propagators and vertices
.255
9.1.2
Amplitudes and superposition
.258
9.1.3
Fundamental dynamic relation
.261
9.1.4
Low order diagrams
.265
9.2
Generating functional
.270
9.2.1
Functional differentiation
.272
9.2.2
From diagrammatics to differential equations
.274
9.3
Connection to operator formalism
.281
9.4
Fermions
and
Grassmann
variables
.282
9.5
Generator of connected amplitudes
.284
9.5.1
Source derivative proof
.284
9.5.2
Combinatorial proof
.290
9.5.3
Functional equation for the generator
.294
9.6
One-particle irreducible vertices
.296
9.6.1
Symmetry broken states
.301
9.6.2
Green's functions and one-particle irreducible vertices
.302
9.7
Diagrammatics and action
.306
9.8
Effective action and skeleton diagrams
.307
9.9
Summary
.312
10
Effective action
313
10.1
Functional integration
.313
10.1.1
Functional Fourier transformation
.314
10.1.2
Gaussian integrals
.315
10.1.3
Fermionic path integrals
.319
10.2
Generators as functional integrals
.320
10.2.1
Euclid versus Minkowski
.323
10.2.2
Wick's theorem and functionals
.324
10.3
Generators and 1PI vacuum diagrams
.330
10.4
1PI loop expansion of the effective action
.333
10.5
Two-particle irreducible effective action
.339
10.5.1
The 2PI loop expansion of the effective action
.346
10.6
Effective action approach to
Bose
gases
.351
10.6.1
Dilute
Bose
gases
.351
10.6.2
Effective action formalism for bosons
.352
10.6.3
Homogeneous
Bose
gas
.356
10.6.4
Renormalization of the interaction
.359
10.6.5
Inhomogeneous
Bose
gas
.363
10.6.6
Loop expansion for a trapped
Bose
gas
.365
10.7
Summary
.372
11
Disordered conductors
373
11.1
Localization
.373
11.1.1
Scaling theory of localization
.374
11.1.2
Coherent backscattering
.377
11.2
Weak localization
.388
11.2.1
Quantum correction to conductivity
.388
11.2.2
Cooperou
equation
.392
11.2.3
Quantum interference and the Cooperon
.398
11.2.4
Quantum interference in a magnetic field
.402
11.2.5
Quantum
interference in a time-dependent field
. 404
11.3
Phase breaking in weak localization
. 408
11.3.1
Electron phonon interaction
. 410
11.3.2-
Electron-electron interaction
. 416
11.4
Anomalous magneto-resistance
. 423
11.4.1
Magneto-resistance in thin films
. 424
11.5
Coulomb interaction in a disordered conductor
. 428
11.6
Mesoscopic fluctuations
. 437
11.7
Summary
. 448
12
Classical statistical dynamics
449
12.1
Field theory of stochastic dynamics
.450
12.1.1
Langevin
dynamics
.450
12.1.2
Fluctuating linear oscillator
.451
12.1.3
Quenched disorder
.454
12.1.4
Dynamical index notation
.455
12.1.5
Quenched disorder and diagrammatics
.457
12.1.6
Over-damped dynamics and the Jacobian
.459
12.
2Magnetic properties of
type
-П
superconductors
.460
12.2.1
Abrikosov vortex state
.460
12.2.2
Vortex lattice dynamics
.462
12.3
Field theory of pinning
.464
12.3.1
Effective action
.467
12.4
Self-consistent theory of vortex dynamics
.469
12.4.1
Hartree
approximation
.470
12.5
Single vortex
.472
12.5.1.
Perturbation theory
.473
12.5.2
Self-consistent theory
.474
12.5.3
Simulations
.476
12.5.4
Numerical results
.476
12.5.5
Hall force
.482
12.6
Vortex lattice
.487
12.6.1
High-velocity limit
.488
12.6.2
Numerical results
.489
12.6.3-
Hall force
.492
12.7
Dynamic melting
.493
12.8
Summary
.500
Appendices
501
A Path integrals
503
В
Path integrals and symmetries
511
С
Retarded and advanced Green's functions
513
D
Analytic properties of Green's functions
517
Bibliography
523
Index
531 |
| any_adam_object | 1 |
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| author | Rammer, Jørgen |
| author_facet | Rammer, Jørgen |
| author_role | aut |
| author_sort | Rammer, Jørgen |
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| callnumber-label | QC174 |
| callnumber-raw | QC174.45 |
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| classification_rvk | UG 4000 UO 4000 |
| ctrlnum | (OCoLC)255761246 (DE-599)HBZHT015093605 |
| dewey-full | 530.143 |
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| dewey-ones | 530 - Physics |
| dewey-raw | 530.143 |
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| dewey-sort | 3530.143 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| discipline_str_mv | Physik |
| edition | 1. publ. |
| format | Book |
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| illustrated | Illustrated |
| index_date | 2024-07-02T17:40:45Z |
| indexdate | 2024-07-09T20:58:06Z |
| institution | BVB |
| isbn | 9780521874991 9780521188005 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015669721 |
| oclc_num | 255761246 |
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| physical | XIII, 536 S. graph. Darst. |
| publishDate | 2007 |
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| publisher | Cambridge Univ. Press |
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| spelling | Rammer, Jørgen Verfasser aut Quantum field theory of non-equilibrium states Jørgen Rammer 1. publ. Cambridge Cambridge Univ. Press 2007 XIII, 536 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Nonequilibrium statistical mechanics Quantum field theory Nichtgleichgewicht (DE-588)4171730-2 gnd rswk-swf Quantenstatistik (DE-588)4047991-2 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Quantenfeldtheorie (DE-588)4047984-5 s Nichtgleichgewicht (DE-588)4171730-2 s DE-604 Quantenstatistik (DE-588)4047991-2 s Digitalisierung UB Augsburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015669721&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rammer, Jørgen Quantum field theory of non-equilibrium states Nonequilibrium statistical mechanics Quantum field theory Nichtgleichgewicht (DE-588)4171730-2 gnd Quantenstatistik (DE-588)4047991-2 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
| subject_GND | (DE-588)4171730-2 (DE-588)4047991-2 (DE-588)4047984-5 (DE-588)4123623-3 |
| title | Quantum field theory of non-equilibrium states |
| title_auth | Quantum field theory of non-equilibrium states |
| title_exact_search | Quantum field theory of non-equilibrium states |
| title_exact_search_txtP | Quantum field theory of non-equilibrium states |
| title_full | Quantum field theory of non-equilibrium states Jørgen Rammer |
| title_fullStr | Quantum field theory of non-equilibrium states Jørgen Rammer |
| title_full_unstemmed | Quantum field theory of non-equilibrium states Jørgen Rammer |
| title_short | Quantum field theory of non-equilibrium states |
| title_sort | quantum field theory of non equilibrium states |
| topic | Nonequilibrium statistical mechanics Quantum field theory Nichtgleichgewicht (DE-588)4171730-2 gnd Quantenstatistik (DE-588)4047991-2 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
| topic_facet | Nonequilibrium statistical mechanics Quantum field theory Nichtgleichgewicht Quantenstatistik Quantenfeldtheorie Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015669721&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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