Quantum many particle systems:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Reading, Mass.
Perseus Books
1998
|
| Schriftenreihe: | Advanced book classics
Advanced book program |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 459 S. graph. Darst. |
| ISBN: | 0738200522 |
Internformat
MARC
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| 245 | 1 | 0 | |a Quantum many particle systems |c John W. Negele ; Henri Orland |
| 264 | 1 | |a Reading, Mass. |b Perseus Books |c 1998 | |
| 300 | |a XIV, 459 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Advanced book classics | |
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| 650 | 4 | |a Many-body problem | |
| 650 | 4 | |a Quantum theory | |
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Datensatz im Suchindex
| _version_ | 1804127270747504641 |
|---|---|
| adam_text | CONTENTS
Chapter
1
Second Quantization and Coherent State«
........ 1
1.1
Quantum Mechanics of a Single Particle
.......... 1
1.2
Systems of Identical Particles
............... 4
1.3
Many-Body Operators
.................. 9
1.4
Creation and Annihilation Operators
............ 11
1.5
Coherent States
.................... 20
Boson Coherent States
................ 20
Grassmann
Algebra
.................. 25
Fermion Coherent States
................ 29
Gaussian Integrals
.................. 33
Problems for Chapter
1 ................. 37
Chapter
2
General Formalism at Finite Temperature
........47
2.1
Introduction
......................47
Quantum Statistical Mechanics
............. 47
Physical Response Functions and Green s Functions
.... 49
Approximation Strategies
................ 53
2.2
Functional Integral Formulation
.............. 57
Feynman Path Integral
................. 57
Imaginary-Time Path Integral and the Partition Function
. . 63
Coherent State Functional Integral
............ 66
The Partition Function for Many-Particle Systems
..... 68
2.3
Perturbation Theory
................... 74
Wick s Theorem
................... 75
Labeled Feynman Diagrams
............... 78
Unlabeled Feynman Diagrams
.............. 82
Hugenholtz Diagrams
................. 88
Frequency and Momentum Representation
........ 92
The Linked Cluster Theorem
............... 96
Calculation of
Observables
and Green s functions
..... 97
2.4
Irreducible Diagrams and Integral Equations
......... 105
Generating Function for Connected Green s Functions
.... 105
The Effective Potential
.................108
The Self-Energy and Dyson s Equation
..........
Ill
Higher-Order Vertex Functions
.............115
2.5
Stationary-Phase Approximation and Loop Expansion
.....120
One-Dimensional Integral
............... 121
Feynman Path Integral
................. 123
Many-Particle Partition Function
............ 124
Problems for Chapter
2 ................. 131
xi
xii
CONTENTS
Chapter
3
Perturbation Theory at Zero Temperature
........138
3.1
Feynman Diagrams
...................138
Observables
.....................138
Zero-Temperature Fermion Propagators
..........142
Fermion Diagram Rules
............, . . . 146
Bosons
.......................153
3.2
Time-Ordered Diagrams
.................157
3.3
The Zero-Temperature Limit
...............164
Problems for Chapter
3 .................167
Chapter
4
Order Parameters and Broken Symmetry
........176
4.1
Introduction
......................176
Phases of Two Familiar Systems
............176
Phenomenological Landau Theory
............179
Broken Symmetry
...................184
4.2
General Formulation with Order Parameters
.........185
Infinite Range Ising Model
............... 185
Generalizations
..................... 190
Physical Examples
.................. 192
4.3
Mean Field Theory
................... 195
Legendre Transform
.................. 195
Ferromagnetic Transition for Classical Spins
........ 197
Application to General Systems
............. 204
4.4
Fluctuations
...................... 207
Landau Ginzburg Theory and Dimensional Analysis
..... 207
One-Loop Corrections
................. 211
Continuous Symmetry
................. 214
One-Loop Corrections for the
χ
-
y
model
........ 217
Lower Critical Dimension
................ 220
The Anderson-Higgs Mechanism
............ 222
Problems for Chapter
4 ................. 226
Chapter
5
Green s Functions
...................235
5.1
Introduction
......................235
Definitions
......................235
Evaluation of
Observables
...............237
5.2
Analytic Properties
...................240
Zero Temperature Green s Functions
...........240
Finite Temperature Green s Functions
..........244
5.3
Physical Content of the Self Energy
............249
Quasiparticle Pole
................... 251
Effective Masses
................... 255
Optical Potential
................... 259
5.4
Linear Response
.................... 262
The Response Function
................262
Random Phase Approximation
.............265
CONTENTS
xiii
Zero
Sound ..................... 271
Matrix Form
of
RPA..................
276
Sum Rules and Examples
............... 277
5.5
Magnetic Susceptibility of a Fermi Gas
........... 281
Static Susceptibility at Zero Temperature
......... 281
Static Susceptibility at Finite Temperature
........ 282
Dynamic Susceptibility at Zero Temperature
....... 284
Dynamic Susceptibility at Finite Temperature
....... 284
Problems for Chapter
5 ................. 285
Chapter
6
The Landau Theory of Fermi Liquids
..........296
6.1
Quasiparticles and their Interactions
............296
6.2
Observable Properties of a Normal Fermi Liquid
.......299
Equilibrium Properties
.................299
Nonequilibrium Properties and Collective Modes
......305
6.3
Microscopic Foundation
.................313
Calculation of the Quasiparticle Interaction
........313
Problems for Chapter
6 .................324
Chapter
7
Further Development of Functional Integrals
....... 332
7.1
Representations of the Evolution Operator
.........332
The Auxiliary Reid
..................332
Overcomplete Sets of States
..............336
7.2
Ground State Properties for Finite Systems
.........340
The Resolvent Operator
................340
Static
Hartree
Approximation
..............342
RPA
Corrections
...................344
The Loop Expansion
.................348
7.3
Transition Amplitudes
..................350
5-Matrix Elements
..................352
7.4
Collective Excitations and Tunneling
............353
Example of One Degree of Freedom
........... 354
Eigenstates of Large Amplitude Collective Motion
..... 360
Barrier Penetration and Spontaneous Fission
....... 364
Conceptual Questions
................. 370
7.5
Large Orders of Perturbation Theory
............ 371
Study of a Simple Integral
............... 372
Borei
Summation
................... 373
The Anharmonic Oscillator
............... 376
Problems for Chapter
7 ................. 382
Chapter
8
Stochastic Method·
..................400
8.1
Monte Carlo Evaluation of Integrals
............400
Central Limit Theorem
.................401
Importance Sampling
.................403
8.2
Sampling Techniques
..................406
Sampling Simple Functions
...............406
xiv CONTENTS
Markov Processes
...................408
Neumann-Ulam Matrix Inversion
............412
Microcanonical Methods
.................413
8.3
Evaluation of One-Particle Path Integral
..........416
Observables
.....................416
Sampling the Action
..................417
Initial Value Random Walk
...............419
Tunneling
......................423
8.4
Many Particle Systems
.................426
Path Integral in Coordinate Representation
........426
Functional Integrals Over Fields
.............431
8.5
Spin Systems and Lattice
Fermions
............434
Checkerboard Decomposition
..............435
Special Methods for Spins
...............438
Problems for Chapter
8 .................440
References
.......................447
Index
.........................455
|
| any_adam_object | 1 |
| author | Negele, John W. Orland, Henri |
| author_GND | (DE-588)1164089773 (DE-588)1323095101 |
| author_facet | Negele, John W. Orland, Henri |
| author_role | aut aut |
| author_sort | Negele, John W. |
| author_variant | j w n jw jwn h o ho |
| building | Verbundindex |
| bvnumber | BV012616994 |
| callnumber-first | Q - Science |
| callnumber-label | QC174 |
| callnumber-raw | QC174.17.P7 |
| callnumber-search | QC174.17.P7 |
| callnumber-sort | QC 3174.17 P7 |
| callnumber-subject | QC - Physics |
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| ctrlnum | (OCoLC)40948285 (DE-599)BVBBV012616994 |
| dewey-full | 530.14/4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.14/4 |
| dewey-search | 530.14/4 |
| dewey-sort | 3530.14 14 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV012616994 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:30:41Z |
| institution | BVB |
| isbn | 0738200522 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008570086 |
| oclc_num | 40948285 |
| open_access_boolean | |
| owner | DE-703 DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-83 DE-11 DE-188 |
| owner_facet | DE-703 DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-83 DE-11 DE-188 |
| physical | XIV, 459 S. graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Perseus Books |
| record_format | marc |
| series2 | Advanced book classics Advanced book program |
| spelling | Negele, John W. Verfasser (DE-588)1164089773 aut Quantum many particle systems John W. Negele ; Henri Orland Reading, Mass. Perseus Books 1998 XIV, 459 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Advanced book classics Advanced book program Degré de liberté (Physique) Intégration de fonctions Problème des N corps Processus stochastiques Théorie quantique Quantentheorie Degree of freedom Integration, Functional Many-body problem Quantum theory Stochastic processes Quantenstatistik (DE-588)4047991-2 gnd rswk-swf Vielteilchentheorie (DE-588)4331960-9 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Vielteilchensystem (DE-588)4063491-7 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Vielkörperproblem (DE-588)4078900-7 gnd rswk-swf Quantentheorie (DE-588)4047992-4 s Vielteilchensystem (DE-588)4063491-7 s DE-604 Quantenstatistik (DE-588)4047991-2 s Quantenmechanik (DE-588)4047989-4 s 1\p DE-604 Vielteilchentheorie (DE-588)4331960-9 s Quantenfeldtheorie (DE-588)4047984-5 s 2\p DE-604 Vielkörperproblem (DE-588)4078900-7 s 3\p DE-604 Orland, Henri Verfasser (DE-588)1323095101 aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008570086&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Negele, John W. Orland, Henri Quantum many particle systems Degré de liberté (Physique) Intégration de fonctions Problème des N corps Processus stochastiques Théorie quantique Quantentheorie Degree of freedom Integration, Functional Many-body problem Quantum theory Stochastic processes Quantenstatistik (DE-588)4047991-2 gnd Vielteilchentheorie (DE-588)4331960-9 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd Vielteilchensystem (DE-588)4063491-7 gnd Quantenmechanik (DE-588)4047989-4 gnd Quantentheorie (DE-588)4047992-4 gnd Vielkörperproblem (DE-588)4078900-7 gnd |
| subject_GND | (DE-588)4047991-2 (DE-588)4331960-9 (DE-588)4047984-5 (DE-588)4063491-7 (DE-588)4047989-4 (DE-588)4047992-4 (DE-588)4078900-7 |
| title | Quantum many particle systems |
| title_auth | Quantum many particle systems |
| title_exact_search | Quantum many particle systems |
| title_full | Quantum many particle systems John W. Negele ; Henri Orland |
| title_fullStr | Quantum many particle systems John W. Negele ; Henri Orland |
| title_full_unstemmed | Quantum many particle systems John W. Negele ; Henri Orland |
| title_short | Quantum many particle systems |
| title_sort | quantum many particle systems |
| topic | Degré de liberté (Physique) Intégration de fonctions Problème des N corps Processus stochastiques Théorie quantique Quantentheorie Degree of freedom Integration, Functional Many-body problem Quantum theory Stochastic processes Quantenstatistik (DE-588)4047991-2 gnd Vielteilchentheorie (DE-588)4331960-9 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd Vielteilchensystem (DE-588)4063491-7 gnd Quantenmechanik (DE-588)4047989-4 gnd Quantentheorie (DE-588)4047992-4 gnd Vielkörperproblem (DE-588)4078900-7 gnd |
| topic_facet | Degré de liberté (Physique) Intégration de fonctions Problème des N corps Processus stochastiques Théorie quantique Quantentheorie Degree of freedom Integration, Functional Many-body problem Quantum theory Stochastic processes Quantenstatistik Vielteilchentheorie Quantenfeldtheorie Vielteilchensystem Quantenmechanik Vielkörperproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008570086&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT negelejohnw quantummanyparticlesystems AT orlandhenri quantummanyparticlesystems |