Fundamentals of many body physics: principles and methods
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2009
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Dt. übers. |
| Physical Description: | X, 602 S. graph. Darst. 24 cm |
| ISBN: | 9783540719304 9783540719311 |
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MARC
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Record in the Search Index
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| adam_text | CONTENTS 1 SECOND QUANTISATION 1 1.1 IDENTICAL PARTICLES 2 1.2 THE
CONTINUOUS FOCK REPRAESENTATION 8 1.3 THE DISCRETE FOCK
REPRESENTATION 21 1.4 EXERCISES 28 1.5 SELF-EXAMINATION QUESTIONS 34 2
MANY-BODY MODEL SYSTEMS 37 2.1 CRYSTAL ELECTRONS 39 2.1.1
NON-INTERACTING BLOCH ELECTRONS 39 2.1.2 THE JELLIUM MODEL 44 2.1.3 THE
HUBBARD MODEL 55 2.1.4 EXERCISES 59 2.2 LATTICE VIBRATIONS 64 2.2.1 THE
HARMONIE APPROXIMATION 64 2.2.2 THE PHONON GAS 69 2.2.3 EXERCISES 74 2.3
THE ELECTRON-PHONON INTERACTION 76 2.3.1 THE HAMILTONIAN 76 2.3.2 THE
EFFECTIVE ELECTRON-ELECTRON INTERACTION 81 2.3.3 EXERCISES 84 2.4
SPINWAVES 88 2.4.1 CLASSIFICATIONOFMAGNETICSOLIDS 88 2.4.2 MODEL
CONCEPTS 90 2.4.3 MAGNONS 93 2.4.4 THE SPIN-WAVE APPROXIMATION 98 2.4.5
EXERCISES 99 2.5 SELF-EXAMINATION QUESTIONS 103 3 GREEN S FUNCTIONS 107
3.1 PRELIMINARY CONSIDERATIONS 107 3.1.1 REPRESENTATIONS 107 VS
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/989960730 DIGITALISIERT
DURCH CONTENTS 3.1.2 LINEAR-RESPONSE THEORY 114 3.1.3 THE MAGNETIC
SUSCEPTIBILITY 117 3.1.4 THE ELECTRICAL CONDUCTIVITY 119 3.1.5 THE
DIELECTRIC FUNCTION 122 3.1.6 SPECTROSCOPIES, SPECTRAL DENSITY 124 3.1.7
EXERCISES 129 3.2 DOUBLE-TIME GREEN S FUNCTIONS 132 3.2.1 EQUATIONSOF
MOTION 132 3.2.2 SPECTRAL REPRESENTATIONS 136 3.2.3 THE SPECTRAL THEOREM
141 3.2.4 EXACT EXPRESSIONS 144 3.2.5 THE KRAMERS-KRONIG RELATIONS 147
3.2.6 EXERCISES 149 3.3 FIRST APPLICATIONS 152 3.3.1 NON-INTERACTING
BLOCH ELECTRONS 152 3.3.2 FREE SPIN WAVES 158 3.3.3 THE TWO-SPIN PROBLEM
160 3.3.4 EXERCISES 171 3.4 THE QUASI-PARTICLE CONCEPT 174 3.4.1
ONE-ELECTRON GREEN S FUNCTIONS 175 3.4.2 THE ELECTRONIC SELF-ENERGY 177
3.4.3 QUASI-PARTICLES 182 3.4.4 QUASI-PARTICLE DENSITY OF STATES 187
3.4.5 INTERNAL ENERGY 189 3.4.6 EXERCISES 191 3.5 SELF-EXAMINATION
QUESTIONS 193 4 SYSTEMS OF INTERACTING PARTICLES 197 4.1 ELECTRONS IN
SOLIDS 197 4.1.1 THE LIMITING CASE OF AN INFMITELY NARROW BAND 197 4.1.2
THE HARTREE-FOCK APPROXIMATION 201 4.1.3 ELECTRONIC CORRELARIONS 206
4.1.4 THE INTERPOLATION METHOD 209 4.1.5 THE METHOD OF MOMENTS 210 4.1.6
THE EXACTLY HALF-FILLED BAND 219 4.1.7 EXERCISES 224 4.2 COLLECTIVE
ELECTRONIC EXCITATIONS 228 4.2.1 CHARGE SCREENING (THOMAS-FERMI
APPROXIMATION) 229 4.2. CONTENTS 4.3.4 DIAGRAMMATIC METHODS 260 4.3.5
APPLICATIONS 270 4.4 SPIN SYSTEMS 271 4.4.1 THE TYABLIKOW APPROXIMATION
272 4.4.2 RENORMALISED SPIN WAVES 279 4.4.3 EXERCISES 284 4.5 THE
ELECTRON-MAGNON INTERACTION 286 4.5.1 MAGNETIC 4/SYSTEMS (AE-/-MODEL) 286
4.5.2 THE INFINITELY NARROW BAND 288 4.5.3 THE ALLOY ANALOGY 294 4.5.4
THE MAGNETIC POLARON 296 4.5.5 EXERCISES 306 4.6 SELF-EXAMINATION
QUESTIONS 308 PERTURBATION THEORY {T = 0) 313 5.1 CAUSAL GREEN S
FUNCTIONS 313 5.1.1 CONVENTIONAL TIME-DEPENDENT PERTURBATION THEORY
313 5.1.2 SWITCHING ON THE INTERACTION ADIABATICALLY 317 5.1.3 CAUSAL
GREEN S FUNCTIONS 323 5.1.4 EXERCISES 327 5.2 WICK S THEOREM 328 5.2.1
THE NORMAL PRODUCT 328 5.2.2 WICK S THEOREM 332 5.2.3 EXERCISES 337 5.3
FEYNMAN DIAGRAMS 337 5.3.1 PERTURBATION EXPANSION FOR THE VACUUM
AMPLITUDE 338 5.3.2 THE LINKED-CLUSTER THEOREM 346 5.3.3 THE PRINCIPAL
THEOREM OFCONNECTED DIAGRAMS 351 5.3.4 EXERCISES 353 5.4 SINGLE-PARTICLE
GREEN S FUNCTIONS 354 5.4.1 DIAGRAMMATIC PERTURBATION EXPANSIONS 354
5.4.2 THE DYSON EQUATION 360 5.4.3 EXERCISES 363 5.5 THE GROUND-STATE
ENERGY OF THE ELECTRON GAS (JELLIUM MODEL) 364 5.5.1 FIRST-ORDER
PERTURBATION THEORY 364 5.5.2 SECOND-ORDER PERTURBATION THEORY 367 5.5.
CONTENTS 6 PERTURBATION THEORY AT FINITE TEMPERATURES 403 6.1 THE
MATSUBARA METHOD 403 6.1.1 MATSUBARA FUNCTIONS 404 6.1.2 THE GRAND
CANONICAL PARTITION FUNCTION 409 6.1.3 THE SINGLE-PARTICLE MATSUBARA
FUNCTION 412 6.2 DIAGRAMMATIC PERTURBATION THEORY 416 6.2.1 WICK S
THEOREM 416 6.2.2 DIAGRAM ANALYSIS OF THE GRAND-CANONICAL PARTITION
FUNCTION 420 6.2.3 RING DIAGRAMS 427 6.2.4 THE SINGLE-PARTICLE MATSUBARA
FUNCTION 430 6.3 SELF-EXAMINATION QUESTIONS 434 SOLUTIONS OF THE
EXERCISES 435 INDEX 591
|
| any_adam_object | 1 |
| author | Nolting, Wolfgang 1944- |
| author_GND | (DE-588)115505261 |
| author_facet | Nolting, Wolfgang 1944- |
| author_role | aut |
| author_sort | Nolting, Wolfgang 1944- |
| author_variant | w n wn |
| building | Verbundindex |
| bvnumber | BV035474824 |
| classification_rvk | UC 100 UL 1000 |
| classification_tum | PHY 026f |
| ctrlnum | (OCoLC)317285953 (DE-599)DNB989960730 |
| dewey-full | 530.144 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.144 |
| dewey-search | 530.144 |
| dewey-sort | 3530.144 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| indexdate | 2024-07-09T21:36:06Z |
| institution | BVB |
| isbn | 9783540719304 9783540719311 |
| language | English |
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| physical | X, 602 S. graph. Darst. 24 cm |
| publishDate | 2009 |
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| publisher | Springer |
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| spelling | Nolting, Wolfgang 1944- Verfasser (DE-588)115505261 aut Fundamentals of many body physics principles and methods Wolfgang Nolting Berlin [u.a.] Springer 2009 X, 602 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Aus d. Dt. übers. Vielkörperproblem (DE-588)4078900-7 gnd rswk-swf Vielteilchentheorie (DE-588)4331960-9 gnd rswk-swf Vielkörperproblem (DE-588)4078900-7 s DE-604 Vielteilchentheorie (DE-588)4331960-9 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017394463&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nolting, Wolfgang 1944- Fundamentals of many body physics principles and methods Vielkörperproblem (DE-588)4078900-7 gnd Vielteilchentheorie (DE-588)4331960-9 gnd |
| subject_GND | (DE-588)4078900-7 (DE-588)4331960-9 |
| title | Fundamentals of many body physics principles and methods |
| title_auth | Fundamentals of many body physics principles and methods |
| title_exact_search | Fundamentals of many body physics principles and methods |
| title_full | Fundamentals of many body physics principles and methods Wolfgang Nolting |
| title_fullStr | Fundamentals of many body physics principles and methods Wolfgang Nolting |
| title_full_unstemmed | Fundamentals of many body physics principles and methods Wolfgang Nolting |
| title_short | Fundamentals of many body physics |
| title_sort | fundamentals of many body physics principles and methods |
| title_sub | principles and methods |
| topic | Vielkörperproblem (DE-588)4078900-7 gnd Vielteilchentheorie (DE-588)4331960-9 gnd |
| topic_facet | Vielkörperproblem Vielteilchentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017394463&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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