Kinetic theory for strongly interacting Fermi systems:
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| Main Author: | |
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| Format: | Book |
| Language: | German |
| Published: |
1997
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Enth. 20 Beitr. aus verschiedenen Zeitschr.. - Rostock, Univ., Habil.-Schr., 1997 |
| Physical Description: | 469 S. graph. Darst. |
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| 245 | 1 | 0 | |a Kinetic theory for strongly interacting Fermi systems |c von Klaus Morawetz |
| 264 | 1 | |c 1997 | |
| 300 | |a 469 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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Record in the Search Index
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CONTENTS
1. HISTORICAL BACKGROUND
. . 9
1.1 INTRODUCTION. 9
1.1.1 OUTLINE OF THE PAPER. 11
1.2 SCENARIO OF LOW ENERGY HEAVY ION REACTIONS. 12
1.3 MESSAGE FROM THE EQUILIBRIUM. 13
1.3.1 CAUSAL VERSUS BRUCKNER APPROACH. 13
1.3.2 IMPACT ON KINETIC APPROACH. 14
1.3.3 SMALL SCATTERING RATE EXPANSION. 15
1.4 NUMERICAL SIMULATIONS. 17
1.4.1 MEAN-FIELD APPROXIMATION. 17
1.4.2 ONE-BODY APPROACH . 19
1.5 VIRIAL CORRECTIONS TO THE KINETIC EQUATION.21
1.5.1 HARD-SPHERE CORRECTIONS TO THE BUU EQUATION.22
1.5.2 QUANTUM VIRIAL CORRECTIONS.24
2. GREEN'S FUNCTIONS
. 27
2.1 GENERAL CONSIDERATIONS. 27
2.1.1 PERTURBATIVE EXPANSION .29
2.2 QUANTUM TRANSPORT EQUATION.33
2.2.1 METHOD OF EQUATION OF MOTION.34
2.3 SPECTRAL PROPERTIES . 36
2.3.1 COMPARISON WITH EQUILIBRIUM.38
2.4 THE PROBLEM OF ANSATZ .41
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/955020433
4
CONTENTS
3. KINETIC EQUATIONS.
3.1 ALTERNATIVE APPROACHES TO THE KINETIC EQUATION
3.1.1 FIRST QUASICLASSICAL APPROXIMATION . .
3.2 THE EXTENDED QUASIPARTICLE PICTURE.
3.2.1 FIRST PATH: DEDUCTIVE EXPANSION
.
3.2.2 SECOND PATH: INDUCTIVE WAY.
3.2.3 ABSENCE OF EXPLICIT GRADIENTS.
3.3 MESSAGE FORM EQUILIBRIUM OFF-SHELL'S.
4. NONLOCAL BOLTZMANN EQUATION.
4.1 DISSIPATION.
4.1.1 LOCAL AND INSTANT SCATTERING INTEGRAL OF THE BUU EQUATION
4.1.2 CONSISTENT APPROACH TO THE SCATTERING INTEGRAL.
4.1.3 QUASICLASSICAL LIMIT.
4.1.4 BINARY AND TERNARY COLLISIONS.
4.1.5 COMPLETE KINETIC EQUATION.
4.1.6 ENSKOG-TYPE CORRECTIONS.
4.1.7 SUMMARY.
4.2 RECOVERING CLASSICAL A'S FROM QUANTUM FORMULAS .
4.2.1 INVARIANCES OF THE NON-LOCAL SCATTERING INTEGRAL .
4.2.2 QUANTUM A'S FOR ISOLATED PARTICLES.
4.2.3 CLASSICAL SHIFTS.
4.3 EVALUATION OF SHIFTS.
4.3.1 GEOMETRICAL DETERMINATION OF CLASSICAL SHIFTS.
4.3.2 NUMERICAL RESULTS.
4.4 SUMMARY.
5. BALANCE EQUATIONS.
5.1 CORRELATED DENSITY AND MOLECULAR CURRENT .
5.1.1 EQUATION OF CONTINUITY APPROACH . .
5.1.2 GENERALIZED BETH-UHLENBECK FORMULA
5.2 DENSITY OF ENERGY.
5.2.1 ENERGY BALANCE.
45
45
45
47
48
51
53
55
61
61
62
63
64
65
68
68
70
71
72
75
80
84
84
87
89
. 91
. 91
. 91
. 93
. 96
. 97
CONTENTS
_ 5
5.2.2 TOTAL ENERGY CONTENT.101
5.2.3 ENERGY CONSERVATION . . . .'.104
5.3 STRESS TENSOR - PRESSURE.105
5.3.1 BALANCE OF FORCES.106
5.3.2 QUASIPARTICLE STRESS TENSOR.107
5.3.3 CORRELATED DENSITY OF MOMENT UNI.108
5.3.4 STRESS TENSOR WITH THE VIRIAL CORRECTIONS .108
6. TRANSIENT TIME PERIOD.ILL
6.1 LEVINSON EQUATION .112
6.2 NUMERICAL STUDIES ON NON-EQUILIBRIUM GREEN'S FUNCTIONS.113
6.3 FORMATION OF CORRELATIONS .115
6.3.1 PLASMA PHYSICS.116
6.3.2 NUCLEAR PHYSICS.120
6.3.3 SUMMARY.125
7. CONCLUSIONS.127
FIRST APPENDICES.130
A. EXTENDED QUASIPARTICLE APPROXIMATION.131
A.L SUM RULES FOR THE SPECTRAL FUNCTION.131
A.1.1 NORM.131
A.1.2 MEAN ENERGY.132
A. 2 SEPARATION OF ON-SHELL AND OFF-SHELL MOTION.133
A.2.1 DIFFERENTIAL TRANSPORT EQUATION.136
A.2.2 QUASICLASSICAL LIMIT.137
A.2.3 LIMIT OF SMALL SCATTERING RATES .138
A.2.4 KINETIC EQUATION.139
B. T-MATRIX APPROXIMATION.141
B. L QUASIPARTICLE APPROXIMATION.143
B.2 BETHE-SALPETER EQUATION.144
6
CONTENTS
C. GRADIENT EXPANSION
C.L GRADIENTS OF FOUR POINT FUNCTIONS.
145
C.2 GRADIENT CONTRIBUTIONS TO THE OPTICAL THEOREM.^48
C. 3 GRADIENTS IN COLLISION INTEGRAL.
148
1 E;I
D. OPTICAL THEOREMS.
D. L VARIOUS SPECTRAL FUNCTIONS.^
D.1.1 OPTICAL THEOREMS.^
D. 2 DERIVED OPTICAL THEOREM.
152
D.2.1 CORRELATED OBSERVABLES.
154
E. CORRELATED VARIABLES FROM BALANCE EQUATION .159
E. L CORRELATED DENSITY.
159
E.2 MOLECULAR CURRENT.I
2
E.3 PROOF OF ENERGY CONSERVATION.I6
4
E.4 SCATTERING CONTRIBUTION TO THE STRESS TENSOR .169
BIBLIOGRAPHY.175
ACKNOWLEDGEMENT.
185
SECOND APPENDICES. 166
I. APPLICATIONS - SELECTED PAPERS.187
1.1 NUCLEAR PHYSICS.187
1.1.1 GIANT RESONANCES IN NUCLEI.187
1.1.2 ONE- PARTICLE DISSIPATION.223
1.1.3 TWO- PARTICLE PROPERTIES.239
1.1.4 FORMATION OF CORRELATIONS.261
1.1.5 RELATIVISTIC TRANSPORT .281
1.2 PLASMA PHYSICS.291
1.2.1 MEMORY EFFECTS AND SHORT TIME BEHAVIOUR.291
1.2.2 STOPPING POWER OF HEAVY IONS.311
1.2.3 HIGH FIELD EFFECTS.327
1.3 SOLID STATE PHYSICS AND ATOMIC PHYSICS.381
CONTENTS
7
II. CURRICULUM VITAE
.449
III.
PUBLICATIONS AND PRESENTATIONS .455
111.1 PUBLICATIONS IN JOURNALS.455
111.2 MONOGRAPHIES, BOOKS.460
111.3 REFEREE REPORTS.460
111.4 ORAL CONFERENCE CONTRIBUTIONS AND TALKS AT COLLOQUIUM.460
111.5 TALKS ABOUT OTHER TOPICS. 465
111.6 POSTER.465
111.7 CONFERENCES AND SUMMER SCHOOLS WITHOUT CONTRIBUTIONS
468 |
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| illustrated | Illustrated |
| indexdate | 2024-10-09T16:04:59Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008367287 |
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| physical | 469 S. graph. Darst. |
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| spelling | Morawetz, Klaus 1963- Verfasser (DE-588)120619016 aut Kinetic theory for strongly interacting Fermi systems von Klaus Morawetz 1997 469 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Enth. 20 Beitr. aus verschiedenen Zeitschr.. - Rostock, Univ., Habil.-Schr., 1997 Hochschulschrift gtt Kinetische Gleichung (DE-588)4030667-7 gnd rswk-swf Green-Funktion (DE-588)4158123-4 gnd rswk-swf Starke Kopplung (DE-588)4382353-1 gnd rswk-swf Fermionensystem (DE-588)4252865-3 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Fermionensystem (DE-588)4252865-3 s Starke Kopplung (DE-588)4382353-1 s Green-Funktion (DE-588)4158123-4 s Kinetische Gleichung (DE-588)4030667-7 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008367287&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Morawetz, Klaus 1963- Kinetic theory for strongly interacting Fermi systems Hochschulschrift gtt Kinetische Gleichung (DE-588)4030667-7 gnd Green-Funktion (DE-588)4158123-4 gnd Starke Kopplung (DE-588)4382353-1 gnd Fermionensystem (DE-588)4252865-3 gnd |
| subject_GND | (DE-588)4030667-7 (DE-588)4158123-4 (DE-588)4382353-1 (DE-588)4252865-3 (DE-588)4113937-9 |
| title | Kinetic theory for strongly interacting Fermi systems |
| title_auth | Kinetic theory for strongly interacting Fermi systems |
| title_exact_search | Kinetic theory for strongly interacting Fermi systems |
| title_full | Kinetic theory for strongly interacting Fermi systems von Klaus Morawetz |
| title_fullStr | Kinetic theory for strongly interacting Fermi systems von Klaus Morawetz |
| title_full_unstemmed | Kinetic theory for strongly interacting Fermi systems von Klaus Morawetz |
| title_short | Kinetic theory for strongly interacting Fermi systems |
| title_sort | kinetic theory for strongly interacting fermi systems |
| topic | Hochschulschrift gtt Kinetische Gleichung (DE-588)4030667-7 gnd Green-Funktion (DE-588)4158123-4 gnd Starke Kopplung (DE-588)4382353-1 gnd Fermionensystem (DE-588)4252865-3 gnd |
| topic_facet | Hochschulschrift Kinetische Gleichung Green-Funktion Starke Kopplung Fermionensystem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008367287&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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