Quantum theory of many body systems: techniques and applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
1998
|
| Schriftenreihe: | Graduate texts in contemporary physics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 229 S. Ill., graph. Darst. |
| ISBN: | 0387983848 |
Internformat
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Datensatz im Suchindex
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| adam_text | ALEXANDRE M. ZAGOSKIN QUANTUM THEORY OF MANY-BODY SYSTEMS TECHNIQUES AND
APPLICATIONS WITH 122 ILLUSTRATIONS SPRINGER CONTENTS PREFACE VUE LIST OF
TABLES XV 1 BASIC CONCEPTS 1 1.1 INTRODUCTION: WHYS AND HOWS OF QUANTUM
MANY-BODY THEORY 1 1.1.1 SCREENING OF COULOMB POTENTIAL IN METAL 2 1.1.2
TIME-DEPENDENT EFFECTS. PLASMONS 6 1.2 PROPAGATION FUNCTION IN A
ONE-BODY QUANTUM THEORY 8 1.2.1 PROPAGATOR: DEFINITION AND PROPERTIES 8
1.2.2 FEYNMAN S FORMULATION OF QUANTUM MECHANICS: PATH (FUNCTIONAL)
INTEGRALS 13 1.2.3 QUANTUM TRANSPORT IN MESOSCOPIC RINGS: PATH INTEGRAL
DESCRIPTION 19 1.3 PERTURBATION THEORY FOR THE PROPAGATOR 22 1.3.1
GENERAL FORMALISM 22 1.3.2 AN EXAMPLE: POTENTIAL SCATTERING 28 1.4
SECOND QUANTIZATION 31 1.4.1 DESCRIPTION OF LARGE COLLECTIONS OF
IDENTICAL PARTICLES. FOCK S SPACE 31 1.4.2 BOSONS 34 1.4.3 NUMBER AND
PHASE OPERATORS AND THEIR UNCERTAINTY RELATION 40 1.4.4 FERMIONS 43 XII
CONTENTS 1.5 PROBLEMS TO CHAPTER 1 46 2 GREEN S FUNCTIONS AT ZERO
TEMPERATURE 49 2.1 GREEN S FUNCTION OF THE MANY-BODY SYSTEM: DEFINITION
AND PROPERTIES 49 2.1.1 DEFINITION OF GREEN S FUNCTIONS OF THE MANY-BODY
SYSTEM 49 2.1.2 ANALYTIC PROPERTIES OF GREEN S FUNCTIONS 57 2.1.3
RETARDED AND ADVANCED GREEN S FUNCTIONS 62 2.1.4 GREEN S FUNCTION AND
OBSERVABLES 65 2.2 PERTURBATION THEORY: FEYNMAN DIAGRAMS 66 2.2.1
DERIVATION OF FEYNMAN RULES. WICK S AND CANCELLATION THEOREMS 68 2.2.2
OPERATIONS WITH DIAGRAMS. SELF ENERGY. DYSON S EQUATION 78 2.2.3
RENORMALIZATION OF THE INTERACTION. POLARIZATION OPERATOR 83 2.2.4
MANY-PARTICLE GREEN S FUNCTIONS. BETHE-SALPETER EQUATIONS. VERTEX
FUNCTION 85 2.3 PROBLEMS TO CHAPTER 2 92 3 MORE GREEN S FUNCTIONS,
EQUILIBRIUM AND OTHERWISE, AND THEIR APPLICATIONS 95 3.1 ANALYTIC
PROPERTIES OF EQUILIBRIUM GREEN S FUNCTIONS 95 3.1.1 STATISTICAL
OPERATOR (DENSITY MATRIX). THE LIOUVILLE EQUATION 95 3.1.2 DEFINITION
AND ANALYTIC PROPERTIES OF EQUILIBRIUM GREEN S FUNCTIONS 97 3.2
MATSUBARA FORMALISM 102 3.2.1 BLOCH S EQUATION 102 3.2.2 TEMPERATURE
(MATSUBARA) GREEN S FUNCTION 104 3.2.3 PERTURBATION SERIES AND DIAGRAM
TECHNIQUES FOR THE TEMPERATURE GREEN S FUNCTION 106 3.3 LINEAR RESPONSE
THEORY 110 3.3.1 LINEAR RESPONSE THEORY. KUBO FORMULAS 110 3.3.2
FLUCTUATION-DISSIPATION THEOREM 114 3.4 NONEQUILIBRIUM GREEN S FUNCTIONS
117 3.4.1 NONEQUILIBRIUM CAUSAL GREEN S FUNCTION: DEFINITION ... 117
3.4.2 CONTOUR ORDERING AND THREE MORE NONEQUILIBRIUM GREEN S FUNCTIONS
119 3.4.3 THE KELDYSH FORMALISM 121 3.5 QUANTUM KINETIC EQUATION 125
3.5.1 DYSON S EQUATIONS FOR NONEQUILIBRIUM GREEN S FUNCTIONS 126 3.5.2
THE QUANTUM KINETIC EQUATION 127 3.6 APPLICATION: ELECTRICAL
CONDUCTIVITY OF QUANTUM POINT CONTACTS 128 CONTENTS XIII 3.6.1 QUANTUM
ELECTRICAL CONDUCTIVITY IN THE ELASTIC LIMIT . . 130 3.6.2 ELASTIC
RESISTANCE OF A POINT CONTACT: SHARVIN RESISTANCE, THE LANDAUER FORMULA,
AND CONDUCTANCE QUANTIZATION 133 3.6.3 THE ELECTRON-PHONON COLLISION
INTEGRAL IN 3 D QUANTUM POINT CONTACT 135 3.6.4 CALCULATION OF THE
INELASTIC COMPONENT OF THE POINT CONTACT CURRENT 138 3.7 METHOD OF
TUNNELING HAMILTONIAN 139 3.8 PROBLEMS TO CHAPTER 3 144 4 METHODS OF THE
MANY-BODY THEORY IN SUPERCONDUCTIVITY 147 4.1 INTRODUCTION: GENERAL
PICTURE OF THE SUPERCONDUCTING STATE ... 147 4.2 INSTABILITY OF THE
NORMAL STATE 158 4.3 PAIRING (BCS) HAMILTONIAN 161 4.3.1 DERIVATION OF
THE BCS HAMILTONIAN 161 4.3.2 DIAGONALIZATION OF THE BCS HAMILTONIAN.
THE BOGOLIUBOV TRANSFORMATION. BOGOLIUBOV-DE GENNES EQUATIONS .... 163
4.3.3 BOGOLONS 166 4.3.4 THERMODYNAMIC POTENTIAL OF A SUPERCONDUCTOR 167
4.4 GREEN S FUNCTIONS OF A SUPERCONDUCTOR: THE NAMBU-GOR KOV FORMALISM
168 4.4.1 MATRIX STRUCTURE OF THE THEORY 168 4.4.2 ELEMENTS OF THE
STRONG COUPLING THEORY 170 4.4.3 GORKOV S EQUATIONS FOR THE GREEN S
FUNCTIONS 173 4.4.4 CURRENT-CARRYING STATE OF THE SUPERCONDUCTOR 176
4.4.5 DESTRUCTION OF SUPERCONDUCTIVITY BY CURRENT 181 4.5 ANDREEV
REFLECTION 184 4.5.1 THE PROXIMITY EFFECT IN A NORMAL METAL IN CONTACT
WITH A SUPERCONDUCTOR 189 4.5.2 ANDREEV LEVELS AND JOSEPHSON EFFECT IN A
CLEAN SNS JUNCTION 190 4.5.3 JOSEPHSON CURRENT IN A SHORT BALLISTIC
JUNCTION. QUANTIZATION OF CRITICAL CURRENT IN QUANTUM POINT CONTACT 192
4.5.4 JOSEPHSON CURRENT IN A LONG SNS JUNCTION 195 4.5.5 TRANSPORT IN
SUPERCONDUCTING QUANTUM POINT CONTACT: THE KELDYSH FORMALISM APPROACH
200 4.6 TUNNELING OF SINGLE ELECTRONS AND COOPER PAIRS 202 4.6.1 COULOMB
BLOCKADE OF SINGLE-ELECTRON TUNNELING .... 203 4.6.2 SUPERCONDUCTING
GRAIN: WHEN ONE ELECTRON IS TOO MANY. 206 4.7 PROBLEMS TO CHAPTER 4 209
A LANDAUER FORMALISM FOR HYBRID NORMAL-SUPERCONDUCTING STRUCTURES 211
A.1 THE LANDAUER-LAMBERT FORMULA 211 XIV CONTENTS A.2 GIANT CONDUCTANCE
OSCILLATIONS IN BALLISTIC ANDREEV INTERFEROMETERS 215 REFERENCES 219
INDEX 225
|
| any_adam_object | 1 |
| author | Zagoskin, Alexandre M. |
| author_facet | Zagoskin, Alexandre M. |
| author_role | aut |
| author_sort | Zagoskin, Alexandre M. |
| author_variant | a m z am amz |
| building | Verbundindex |
| bvnumber | BV011962632 |
| 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 |
| classification_rvk | UL 1000 UL 2000 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.416 |
| dewey-search | 530.416 |
| dewey-sort | 3530.416 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV011962632 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:19:15Z |
| institution | BVB |
| isbn | 0387983848 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008089398 |
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| owner_facet | DE-29T DE-703 DE-20 DE-19 DE-BY-UBM DE-384 DE-355 DE-BY-UBR DE-634 DE-83 DE-11 DE-188 |
| physical | XIV, 229 S. Ill., graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer |
| record_format | marc |
| series2 | Graduate texts in contemporary physics |
| spelling | Zagoskin, Alexandre M. Verfasser aut Quantum theory of many body systems techniques and applications Alexandre M. Zagoskin Quantum theory of many-body systems New York [u.a.] Springer 1998 XIV, 229 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Graduate texts in contemporary physics Quantentheorie Green's functions Many-body problem Quantum theory Superconductivity Vielteilchentheorie (DE-588)4331960-9 gnd rswk-swf Quasiteilchen (DE-588)4140168-2 gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 gnd rswk-swf Green-Funktion (DE-588)4158123-4 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Vielkörperproblem (DE-588)4078900-7 gnd rswk-swf Vielkörperproblem (DE-588)4078900-7 s Quantenmechanisches System (DE-588)4300046-0 s Quasiteilchen (DE-588)4140168-2 s Green-Funktion (DE-588)4158123-4 s DE-604 Vielteilchentheorie (DE-588)4331960-9 s Quantenmechanik (DE-588)4047989-4 s 1\p DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008089398&sequence=000001&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 | Zagoskin, Alexandre M. Quantum theory of many body systems techniques and applications Quantentheorie Green's functions Many-body problem Quantum theory Superconductivity Vielteilchentheorie (DE-588)4331960-9 gnd Quasiteilchen (DE-588)4140168-2 gnd Quantenmechanisches System (DE-588)4300046-0 gnd Green-Funktion (DE-588)4158123-4 gnd Quantenmechanik (DE-588)4047989-4 gnd Vielkörperproblem (DE-588)4078900-7 gnd |
| subject_GND | (DE-588)4331960-9 (DE-588)4140168-2 (DE-588)4300046-0 (DE-588)4158123-4 (DE-588)4047989-4 (DE-588)4078900-7 |
| title | Quantum theory of many body systems techniques and applications |
| title_alt | Quantum theory of many-body systems |
| title_auth | Quantum theory of many body systems techniques and applications |
| title_exact_search | Quantum theory of many body systems techniques and applications |
| title_full | Quantum theory of many body systems techniques and applications Alexandre M. Zagoskin |
| title_fullStr | Quantum theory of many body systems techniques and applications Alexandre M. Zagoskin |
| title_full_unstemmed | Quantum theory of many body systems techniques and applications Alexandre M. Zagoskin |
| title_short | Quantum theory of many body systems |
| title_sort | quantum theory of many body systems techniques and applications |
| title_sub | techniques and applications |
| topic | Quantentheorie Green's functions Many-body problem Quantum theory Superconductivity Vielteilchentheorie (DE-588)4331960-9 gnd Quasiteilchen (DE-588)4140168-2 gnd Quantenmechanisches System (DE-588)4300046-0 gnd Green-Funktion (DE-588)4158123-4 gnd Quantenmechanik (DE-588)4047989-4 gnd Vielkörperproblem (DE-588)4078900-7 gnd |
| topic_facet | Quantentheorie Green's functions Many-body problem Quantum theory Superconductivity Vielteilchentheorie Quasiteilchen Quantenmechanisches System Green-Funktion Quantenmechanik Vielkörperproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008089398&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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