Quantum theory of many-particle systems:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Mineola, N.Y.
Dover Publ.
2003
|
| Edition: | [corr. repr. of the 7. print of the work first publ. by the McGraw-Hill Book Comp., New York, in 1971] |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 601 S. graph. Darst. |
| ISBN: | 0486428273 9780486428277 |
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MARC
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| 100 | 1 | |a Fetter, Alexander L. |d 1937- |e Verfasser |0 (DE-588)13284477X |4 aut | |
| 245 | 1 | 0 | |a Quantum theory of many-particle systems |c Alexander L. Fetter ; John Dirk Walecka |
| 250 | |a [corr. repr. of the 7. print of the work first publ. by the McGraw-Hill Book Comp., New York, in 1971] | ||
| 264 | 1 | |a Mineola, N.Y. |b Dover Publ. |c 2003 | |
| 300 | |a XVI, 601 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Problemas de muitos corpos |2 larpcal | |
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Record in the Search Index
| _version_ | 1804133155955802112 |
|---|---|
| adam_text | CONTENTS
PREFACE TO THE DOVER EDITION
vii
PREFACE
¡χ
PART ONEDINTRODUCTION
1
CHAPTER
1
SECOND QUANTIZATION
3
1
THE
SCHRÖDINGER
EQUATION IN FIRST AND SECOND
QUANTIZATION
4
Bosons
7
Many-particle Hubert space and creation and destruction operators
12
Fermions
1
б
2
FIELDS
19
3
EXAMPLE: DEGENERATE ELECTRON GAS
21
CHAPTER
2
STATISTICAL MECHANICS
33
4
REVIEW OF THERMODYNAMICS AND STATISTICAL MECHANICS
34
5
IDEAL GAS
36
Bosons
38
Fermions
45
xii
CONTENTS
PART TWO
□
GROUND-STATE (ZERO-TEMPERATURE)
FORMALISM
51
CHAPTER
3
GREEN S FUNCTIONS AND FIELD THEORY
(FERMIONS)
53
6
PICTURES
53
Schrödinger
picture
53
Interaction picture
54
Heisenberg
picture
58
Adiabatic switching on
59
Cell-Mann and Low theorem on the ground state in quantum field
theory
61
GREEN S FUNCTIONS
64
Definition
64
Relation to
observables
66
Example
:
free
fermions
70
The
Lehmann
representation
72
Physical interpretation of the Green s function
79
WICK S THEOREM
83
DIAGRAMMATIC ANALYSIS OF PERTURBATION THEORY
92
Feynman diagrams in coordinate space
92
Feynman diagrams in momentum space
100
Dyson s equations
105
GoJdstone s theorem
111
CHAPTER
4
FERMI SYSTEMS
10
HARTREE-FOCK APPROXIMATION
121
11
IMPERFECT FERMI GAS
128
Scattering from a hard sphere
128
Scattering theory in momentum space
130
Ladder diagrams and the Bethe-Safpeter equation
131
Galitskii s integral equations
139
The proper self-energy
142
Physical quantities
146
Justification of terms retained
149
12
DEGENERATE ELECTRON GAS
151
Ground-state energy and the dielectric constant
151
Ring diagrams
154
Evaluation of
П0
158
Correlation energy
163
Effective interaction
166
CHAPTER
5
LINEAR RESPONSE AND COLLECTIVE MODES
13
GENERAL THEORY OF LINEAR RESPONSE TO AN EXTERNAL
PERTURBATION
172
14
SCREENING IN AN ELECTRON GAS
175
15
PLASMA OSCILLATIONS IN AN ELECTRON GAS
180
16
ZERO SOUND IN AN IMPERFECT FERMI GAS
183
17
INELASTIC ELECTRON SCATTERING
188
120
171
CHAPTER
6
BOSE
SYSTEMS
198
18
19
FORMULATION OF THE PROBLEM
GREEN S FUNCTIONS
203
199
CONTENTS
xiii
20
PERTURBATION
THEORY AND FEYNMAN RULES
Interaction picture
207
Feynman rules in coordinate space
208
Feynman rules in momentum space
209
Dyson s equations
211
Lehmann
representation
214
21
WEAKLY INTERACTING
BOSE
GAS
215
22
DILUTE
BOSE GAS
WITH REPULSIVE CORES
218
207
PART THREEDFINITE-TEMPERATURE FORMALISM
CHAPTER
7
FIELD THEORY AT FINITE TEMPERATURE
23
TEMPERATURE GREEN S FUNCTIONS
227
Definition
228
Relation to
observables
229
Example
:
noninteracting system
232
24
PERTURBATION THEORY AND WICK S THEOREM FOR FINITE
TEMPERATURES
234
Interaction picture
234
Periodicity of
0 236
Proof of Wick s theorem
237
25
DIAGRAMMATIC ANALYSIS
241
Feynman rules in coordinate space
242
Feynman rules in momentum space
244
Evaluation of frequency sums
248
26
DYSON S EQUATIONS
250
225
227
CHAPTER
8
PHYSICAL SYSTEMS AT FINITE TEMPERATURE
255
27
HARTREE-FOCK APPROXIMATION
255
28
IMPERFECT
BOSE
GAS NEAR Tc
259
29
SPECIFIC HEAT OF AN IMPERFECT FERMI GAS AT LOW
TEMPERATURE
261
Low-temperature expansion of IS
262
Hartree-Fock approximation
262
Evaluation of the entropy
265
30
ELECTRON GAS
267
Approximate proper self-energy
268
Summation of ring diagrams
271
Approximate thermodynamic potential
273
Classical limit
275
Zero-temperature limit
281
CHAPTER
9
REAL-TIME GREEN S FUNCTIONS AND LINEAR RESPONSE
291
31
GENERALIZED
LEHMANN
REPRESENTATION
292
Definition of
G
292
Retarded and advanced functions
294
Temperature Green s functions and analytic continuation
297
32
LINEAR RESPONSE AT FINITE TEMPERATURE
298
General theory
298
Density correlation function
300
33
SCREENING IN AN ELECTRON GAS
303
34
PLASMA OSCILLATIONS IN AN ELECTRON GAS
307
x¡v
CONTENTS
PART FOUR
D
CANONICAL TRANSFORMATIONS
311
CHAPTER
10
CANONICAL TRANSFORMATIONS
313
35
INTERACTING
BOSE GAS
314
36
COOPER PAIRS
320
37
INTERACTING FERMI GAS
326
PART FIVEDAPPLICATIONS TO PHYSICAL SYSTEMS
339
CHAPTER
11
NUCLEAR MATTER
341
38
NUCLEAR FORCES
:
A REVIEW
341
39
NUCLEAR MATTER
348
Nuclear radii and charge distributions
348
The semiempirical mass formula
349
40
INDEPENDENT-PARTICLE (FERMI-GAS) MODEL
352
41
INDEPENDENT-PAIR APPROXIMATION (BRUECKNER S THEORY)
357
Self-consistent Bethe-Goldstone equation
358
Solution for a nonsingular square-well potential
360
Solution for a pure hard-core potential
363
Properties of nuclear matter with a realistic potential
366
42
RELATION TO GREEN S FUNCTIONS AND BETHE-SALPETER
EQUATION
377
43
THE ENERGY GAP IN NUCLEAR MATTER
383
CHAPTER
12
PHONONS AND ELECTRONS
389
44
THE NONINTERACTING PHONON SYSTEM
390
Lagrangian and hamiltonian
391
Debye theory of the specific heat
393
45
THE ELECTRON-PHONON INTERACTION
396
46
THE COUPLED-FIELD THEORY
399
Feynman rules for
Τ
— 0 399
The equivalent electron-electron interaction
401
Vertex parts and Dyson s equations
402
47
MIGDAL S THEOREM
406
CHAPTER
13
SUPERCONDUCTIVITY
413
48
FUNDAMENTAL PROPERTIES OF SUPERCONDUCTORS
414
Basic experimental facts
414
Thermodynamic relations
417
49
LONDON-PIPPARD PHENOMENOLOGICAL THEORY
420
Derivation of London equations
420
Solution for halfspace and slab
421
Conservation and quantization of fluxoid
423
Pippard s generalized equation
425
50
GINZBURG-LANDAU PHENOMENOLOGICAL THEORY
430
Expansion of the free energy
430
Solution in simple cases
432
Flux quantization
435
Surface energy
436
CONTENTS
XV
51
MICROSCOPIC (BCS)
THEORY
439
General formulation
439
Solution for uniform medium
444
Determination of the gap function
Δ(Γ)
447
Thermodynamic functions
449
52
LINEAR RESPONSE TO A WEAK MAGNETIC FIELD
454
Derivation of the general kernel
455
Meissner effect
459
Penetration depth in Pippard (nonlocal) limit
461
Nonlocal integral relation
463
53
MICROSCOPIC DERIVATION OF GINZBURG-LANDAU
EQUATIONS
466
CHAPTER
14
SUPERFLUID HELIUM
479
54
FUNDAMENTAL PROPERTIES OF He II
481
Basic experimental facts
481
Landau s quasiparticle model
484
55
WEAKLY INTERACTING
BOSE GAS
488
General formulation
489
Uniform condensate
492
Nonuniform
condensate
495
CHAPTER15 APPLICATIONS TO FINITE SYSTEMS: THE ATOMIC NUCLEUS
503
56
GENERAL CANONICAL TRANSFORMATION TO PARTICLES AND
HOLES
504
57
THE SINGLE-PARTICLE SHELL MODEL
508
Approximate Hartree-Fock wave functions and level
orderings
in a
central potential
508
Spin-orbit splitting
511
Single-particle matrix elements
512
58
MANY PARTICLES IN A SHELL
515
Two valence particles: general interaction and S{x) force
515
Several particles: normal coupling
519
The pairing-force problem
523
The boson approximation
526
The Bogoliubov transformation
527
59
EXCITED STATES: LINEARIZATION OF THE EQUATIONS OF
MOTION
538
Tamm-Dancoff approximation (TDA)
538
Random-phase approximation
(RPA)
540
Reduction of the basis
543
Solution for the
[15]
-dimensional
supermultiplet
with a S(x) force
547
An application to nuclei
:
O16
555
60
EXCITED STATES: GREEN S FUNCTION METHODS
558
The polarization propagator
558
Random-phase approximation
564
Tamm-Dancoff approximation
565
Construction of
Π(ω)
in the
RPA
566
61
REALISTIC NUCLEAR FORCES
567
Two
nucléons
outside closed shells: the independent-pair approxi¬
mation
567
Bethe-Goldstone equation
568
Harmonic-oscillator approximation
570
Pauli
principle correction
574
Extensions and calculations of other quantities
574
xvi CONTENTS
APPENDIXES S79
A DEFINITE
INTEGRALS 579
В
REVIEW
OF THE THEORY OF ANGULAR MOMENTUM
581
Basic commutation relations
581
Coupling of two angular momenta
:
Clebsch-Gordan coefficients
582
Coupling of three angular momenta
:
the
6-/
coefficients
585
Irreducible tensor operators and the Wigner-
Eckart
theorem
586
Tensor operators in coupled schemes
587
INDEX
589
|
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| author | Fetter, Alexander L. 1937- Walecka, John Dirk 1932- |
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| edition | [corr. repr. of the 7. print of the work first publ. by the McGraw-Hill Book Comp., New York, in 1971] |
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| id | DE-604.BV019704737 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T20:04:14Z |
| institution | BVB |
| isbn | 0486428273 9780486428277 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013032235 |
| oclc_num | 51614013 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-384 DE-355 DE-BY-UBR DE-20 DE-188 DE-91G DE-BY-TUM DE-11 |
| owner_facet | DE-19 DE-BY-UBM DE-384 DE-355 DE-BY-UBR DE-20 DE-188 DE-91G DE-BY-TUM DE-11 |
| physical | XVI, 601 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Dover Publ. |
| record_format | marc |
| spelling | Fetter, Alexander L. 1937- Verfasser (DE-588)13284477X aut Quantum theory of many-particle systems Alexander L. Fetter ; John Dirk Walecka [corr. repr. of the 7. print of the work first publ. by the McGraw-Hill Book Comp., New York, in 1971] Mineola, N.Y. Dover Publ. 2003 XVI, 601 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Problemas de muitos corpos larpcal Many-body problem Vielteilchentheorie (DE-588)4331960-9 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Atomphysik (DE-588)4003423-9 gnd rswk-swf Vielteilchentheorie (DE-588)4331960-9 s Quantenmechanik (DE-588)4047989-4 s DE-604 Atomphysik (DE-588)4003423-9 s 1\p DE-604 Walecka, John Dirk 1932- Verfasser (DE-588)132844788 aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013032235&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 |
| spellingShingle | Fetter, Alexander L. 1937- Walecka, John Dirk 1932- Quantum theory of many-particle systems Problemas de muitos corpos larpcal Many-body problem Vielteilchentheorie (DE-588)4331960-9 gnd Quantenmechanik (DE-588)4047989-4 gnd Atomphysik (DE-588)4003423-9 gnd |
| subject_GND | (DE-588)4331960-9 (DE-588)4047989-4 (DE-588)4003423-9 |
| title | Quantum theory of many-particle systems |
| title_auth | Quantum theory of many-particle systems |
| title_exact_search | Quantum theory of many-particle systems |
| title_full | Quantum theory of many-particle systems Alexander L. Fetter ; John Dirk Walecka |
| title_fullStr | Quantum theory of many-particle systems Alexander L. Fetter ; John Dirk Walecka |
| title_full_unstemmed | Quantum theory of many-particle systems Alexander L. Fetter ; John Dirk Walecka |
| title_short | Quantum theory of many-particle systems |
| title_sort | quantum theory of many particle systems |
| topic | Problemas de muitos corpos larpcal Many-body problem Vielteilchentheorie (DE-588)4331960-9 gnd Quantenmechanik (DE-588)4047989-4 gnd Atomphysik (DE-588)4003423-9 gnd |
| topic_facet | Problemas de muitos corpos Many-body problem Vielteilchentheorie Quantenmechanik Atomphysik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013032235&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT fetteralexanderl quantumtheoryofmanyparticlesystems AT waleckajohndirk quantumtheoryofmanyparticlesystems |