Quantum solid-state physics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1989
|
| Series: | Springer series in solid-state sciences
73 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | XII, 505 S. Ill., graph. Darst. |
| ISBN: | 9783642501661 3540191038 0387191038 |
Staff View
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| 245 | 1 | 0 | |a Quantum solid-state physics |c S. V. Vonsovsky ; M. I. Katsnelson |
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Record in the Search Index
| _version_ | 1804116839655014400 |
|---|---|
| adam_text | S. V. VONSOVSKY M. I. KATSNELSON QUANTUM SOLID-STATE PHYSICS WITH 151
FIGURES SPRINGER-VERLAG BERLIN HEIDELBERG NEW YORK LONDON PARIS TOKYO
HONGKONG CONTENTS 1. INTRODUCTION. GENERAL PROPERTIES OF THE SOLID STATE
OF MATTER 1 1.1 GENERAL THERMODYNAMIC DESCRIPTION OF THE SOLID STATE 1
1.2 CRYSTAL STRUCTURE OF SOLIDS 6 1.3 RECIPROCAL LATTICE 26 1.4 EXAMPLES
OF SIMPLE CRYSTAL STRUCTURES 29 1.5 EXPERIMENTAL TECHNIQUES FOR
DETERMINING THE PERIODIC ATOMIC STRUCTURE OF SOLIDS 32 1.6 QUALITATIVE
CONCEPTS OF THE ELECTRONIC AND NUCLEAR CRYSTAL STRUCTURE .. 43 1.7
FUNDAMENTAL CONCEPTS OF THE CHEMICAL BONDING IN SOLIDS 48 1.7.1
INTERACTION BETWEEN ATOMS (IONS) WITH FILLED ELECTRON SHELLS ... 49
1.7.2 MOLECULAR ORBITALS 55 1.7.3 THE HEITLER-LONDON METHOD 60 1.7.4
COVALENTBOND 65 1.7.5 ELECTROSTATIC BONDING ENERGY OF IONIC CRYSTALS 69
1.8 TYPES OF CRYSTALLINE SOLIDS ^ 72 1.8.1 IONIC CRYSTALS 73 1.8.2
COVALENT CRYSTALS AND SEMICONDUCTORS 74 1.8.3 METALS, THEIR ALLOYS, AND
COMPOUNDS 76 1.8.4 MOLECULAR CRYSTALS 78 1.8.5 HYDROGEN-BONDED CRYSTALS
78 1.8.6 QUASI-ONE-DIMENSIONAL AND QUASI-TWO-DIMENSIONAL CRYSTALS . . 79
1.8.7 QUANTUM CRYSTALS 80 1.9 FORMULATION OF THE GENERAL
QUANTUM-MECHANICAL PROBLEM OF THE CRYSTAL 85 1.10 PROPERTIES OF
DISORDERED CONDENSED SYSTEMS 90 1.10.1 GENERAL REMARKS 90 1.10.2
METALLIC GLASSES (EXAMPLE OF AMORPHOUS SOLIDS) 92 2. DYNAMIC PROPERTIES
OF THE CRYSTAL LATTICE 97 2.1 THE DYNAMICS OF THE IONIC LATTICE 97 2.1.1
A LINEAR MONATOMIC ARRAY 97 2.1.2 A LINEAR DIATOMIC ARRAY 101 2.1.3
THE THREE-DIMENSIONAL CRYSTAL CASE 105 2.1.4 QUANTIZATION OF
IONIC-LATTICE VIBRATIONS 109 X CONTENTS 2.2 THE SPECIFIC-HEAT CAPACITY
OF THE LATTICE ILL 2.3 ALLOWANCE FOR ANHARMONIC TERMS 120 2.3.1 THERMAL
EXPANSION OF CRYSTALS 120 2.3.2 HEAT-CAPACITY TERM LINEAR IN TEMPERATURE
122 2.3.3 THERMAL CONDUCTIVITY OF AN IONIC LATTICE 123 2.4 LOCALIZATION
OF PHONONS ON POINT DEFECTS 124 2.5 HEAT CAPACITY OF GLASSES AT LOW
TEMPERATURES 127 2.6 HIGH-FREQUENCY PERMITTIVITY OF IONIC CRYSTALS 131
2.7 LATTICE SCATTERING AND THE MOSSBAUER EFFECT 134 2.7.1 SCATTERING
PROBABILITY AND THE CORRELATION FUNCTION 134 2.7.2 SOME PROPERTIES OF
THE PHONON OPERATORS AND OF THE AVERAGES CONTAINING THEM 138 2.7.3
CALCULATING THE DYNAMIC FORM FACTOR IN THE HARMONIC APPROXI- MATION 143
2.7.4 ELASTIC SCATTERING 147 2.7.5 INELASTIC SCATTERING 149 2.7.6 THE
MOSSBAUER EFFECT 152 2.8 CONCLUSION 155 3. SIMPLE METALS: THE FREE
ELECTRON-GAS MODEL 157 3.1 TYPES OF METALS 157 3.2 PHYSICAL PROPERTIES
OF THE METALLIC STATE. CONDUCTION ELECTRONS 158 3.3 CLASSICAL
CONDUCTION-ELECTRON THEORY (DRUDE-LORENTZ THEORY) 162 3.4 ITINERANT
ELECTRON THEORY ACCORDING TO FRENKEL 168 3.5 APPLICATION OF FERMI-DIRAC
QUANTUM STATISTICS TO THE CONDUCTION-ELECTRON GAS 170 3.5.1 THE CASE OF
T = 0 K 173 3.5.2 THE LOW-TEMPERATURE CASE (7 OK, BUT T 0 E I) 176 3.5.3
ATOMIC VOLUME, COMPRESSIBILITY, AND STRENGTH OF METALS 182 3.5.4
PARAMAGNETISM OF A DEGENERATE ELECTRON GAS 185 3.5.5 DIAMAGNETISM OF A
DEGENERATE ELECTRON GAS ACCORDING TO LANDAU 191 3.5.6 OSCILLATORY
EFFECTS IN THE FERMI GAS 200 3.5.7 THERMIONIC EMISSION (THE RICHARDSON
EFFECT) 203 3.6 TRANSPORT PHENOMENA 206 3.6.1 THE BOLTZMANN KINETIC
EQUATION 206 3.6.2 ELECTRICAL CONDUCTIVITY 211 3.6.3 THERMAL
CONDUCTIVITY AND THE WIEDEMANN-FRANZ RELATION 213 3.6.4 THERMOELECTRIC
PHENOMENA 216 3.6.5 GALVANOMAGNETIC PHENOMENA 221 3.7 HIGH-FREQUENCY
PROPERTIES 228 3.7.1 BASIC EQUATIONS 228 3.7.2 SKIN EFFECT 231 3.7.3
CYCLOTRON RESONANCE 235 3.7.4 ELECTROMAGNETIC WAVES IN METALS 238 3.8
CONCLUSIONS 243 ~^^ CONTENTS XI 4. BAND THEORY 245 4.1 PRELIMINARY
OBSERVATIONS AND THE ONE-DIMENSIONAL MODEL 245 4.1.1 ELECTRON WAVES IN A
CRYSTAL 245 4.1.2 THE ARRAY OF RECTANGULAR POTENTIAL BARRIERS 248 4.1.3
LINEAR ATOMIC ARRAY 253 4.1.4 RIGOROUS THEORY OF ELECTRON MOTION IN A
ONE-DIMENSIONAL ARRAY 260 4.2 GENERAL THEORY OF THE ELECTRON MOTION IN A
THREE-DIMENSIONAL CRYSTAL 274 4=2.1 BLOCH S THEOREM 274 4.2.2 BRILLOUIN
ZONES 279 4.2.3 ELECTRON ENERGY SPECTRUM 284 4.2.4 THE PROPERTIES OF
CONSTANT ENERGY SURFACES 289 4.2.5 DENSITY OF ELECTRON STATES IN ENERGY
BANDS. TOPOLOGICAL ELECTRONIC TRANSITIONS 292 4.3 NEARLY-FREE-ELECTRON
APPROXIMATION 296 4.3.1 STATEMENT OF THE PROBLEM . 296 4.3.2
EMPTY-LATTICE MODEL 297 4.3.3 ALLOWANCE FOR A WEAK PERIODIC FIELD 303
4.4 EFFECT OF AN ELECTRIC FIELD ON ELECTRONIC STATES 310 4.4.1
ACCELERATION AND EFFECTIVE ELECTRON MASS 310 4.4.2 ZENER BREAKDOWN 313
4.4.3 QUANTUM THEORY OF THE ELECTRIC INERTIA EFFECT 316 4.5 THE
METAL-SEMICONDUCTOR CRITERION 319 4.5.1 THE METAL-NONMETAL CRITERION IN
BAND THEORY 319 4.5.2 THE PEIERLS TRANSITION 325 4.5.3 THE MOTT
TRANSITION 327 4.5.4 DISORDERED SYSTEMS 328 4.6 COMPUTING THE ELECTRON
ENERGY SPECTRUM OF CRYSTALS 330 4.6.1 SELF-CONSISTENT FIELD
APPROXIMATION 330 4.6.2 SOLVING THE SCHRODINGER EQUATION. FORMULATION OF
THE PROBLEM AND THE CELLULAR METHOD 336 4.6.3 THE LCAO METHOD AND
TIGHT-BINDING APPROXIMATION 338 4.6.4 THE ORTHOGONALIZED PLANE WAVES
(OPW) METHOD. PSEUDOPOTENTIAL 342 4.6.5 THE AUGMENTED PLANE WAVES (APW)
METHOD 344 4.6.6 K -P PERTURBATION THEORY 347 4.6.7 FERMI SURFACES IN
REAL METALS 349 4.7 BAND ELECTRONS IN A MAGNETIC FIELD 352 4.7.1 THE
EFFECTIVE HAMILTONIAN 352 4.7.2 CLASSICAL PATHS 359 4.7.3 QUASI
CLASSICAL ENERGY LEVELS. OSCILLATORY EFFECTS 364 4.8 IMPURITY STATES 368
4.8.1 A SIMPLE MODEL 368 4.8.2 GREEN S FUNCTIONS AND THE DENSITY OF
STATES 371 XII CONTENTS 4.8.3 FRIEDEL OSCILLATIONS 376 4.9 THE
ELECTRONIC STRUCTURE OF DISORDERED SYSTEMS 379 4.9.1 THE AVERAGE GREEN S
FUNCTION IN THE DIAGONAL DISORDER MODEL . . 379 4.9.2 APPROXIMATE
METHODS OF COMPUTING THE AVERAGE GREEN S FUNCTION IN THE BINARY ALLOY
MODEL 383 4.9.3 ANDERSON LOCALIZATION 388 4.10 CONCLUSION. THE ROLE OF
MANY-PARTICLE EFFECTS 393 5. MANY-PARTICLE EFFECTS 396 5.1 PLASMA
PHENOMENA. SCREENING 396 5.1.1 A DISCUSSION OF THE MODEL 396 5.1.2 THE
EQUATION FOR A SELF-CONSISTENT PLASMA POTENTIAL 397 5.1.3 STATIC
SCREENING 402 5.1.4 PLASMONS 406 5.1.5 PHONONS IN THE PLASMA MODEL 410
5.1.6 FLUCTUATION-DISSIPATION THEOREM 411 5.2 THE FERMI-LIQUID THEORY
415 5.2.1 MAJOR POSTULATES OF THE LANDAU THEORY 415 5.2.2 THERMODYNAMIC
PROPERTIES 419 5.2.3 KINETIC EQUATION FOR QUASIPARTICLES 422 5.3
ELECTRON-PHONON INTERACTION 427 5.3.1 FORMULATION OF THE PROBLEM 427
5.3.2 CONDITIONS FOR THE APPLICABILITY OF THE ADIABATIC APPROXIMATION .
430 5.3.3 TEMPERATURE DEPENDENCE OF THE ELECTRICAL CONDUCTIVITY IN
METALS 434 5.3.4 POLARONS 438 5.3.5 THE COOPER PHENOMENON 448 5.4
SUPERCONDUCTIVITY 453 5.5 EXCITONS 460 5.6 TRANSITION METALS AND THEIR
COMPOUNDS 463 5.6.1 PROPERTIES OF D AND /STATES 463 5.6.2 THE HEISENBERG
MODEL ....? 465 5.6.3 D METALS 476 5.6.4 MAGNETISM IN THE 4/METALS 480
5.7 ANDERSON S ORTHOGONALITY CATASTROPHE 482 5.8 CONCLUSION 487 ADDENDA
(RECENT DEVELOPMENTS) 488 REFERENCES 490 SUBJECT INDEX 499
|
| any_adam_object | 1 |
| author | Vonsovskij, Sergej V. 1910-1998 Kacnel'son, Michail I. 1957- |
| author_GND | (DE-588)124123821 (DE-588)172177502 |
| author_facet | Vonsovskij, Sergej V. 1910-1998 Kacnel'son, Michail I. 1957- |
| author_role | aut aut |
| author_sort | Vonsovskij, Sergej V. 1910-1998 |
| author_variant | s v v sv svv m i k mi mik |
| building | Verbundindex |
| bvnumber | BV002416684 |
| classification_rvk | UP 1000 |
| classification_tum | PHY 602f |
| ctrlnum | (OCoLC)260140707 (DE-599)BVBBV002416684 |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV002416684 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:44:53Z |
| institution | BVB |
| isbn | 9783642501661 3540191038 0387191038 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001568395 |
| oclc_num | 260140707 |
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| owner | DE-91 DE-BY-TUM DE-12 DE-384 DE-19 DE-BY-UBM DE-703 DE-355 DE-BY-UBR DE-29T DE-188 DE-83 |
| owner_facet | DE-91 DE-BY-TUM DE-12 DE-384 DE-19 DE-BY-UBM DE-703 DE-355 DE-BY-UBR DE-29T DE-188 DE-83 |
| physical | XII, 505 S. Ill., graph. Darst. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Springer |
| record_format | marc |
| series | Springer series in solid-state sciences |
| series2 | Springer series in solid-state sciences |
| spelling | Vonsovskij, Sergej V. 1910-1998 Verfasser (DE-588)124123821 aut Kvantovaia fizika tverdogo tela Quantum solid-state physics S. V. Vonsovsky ; M. I. Katsnelson Berlin [u.a.] Springer 1989 XII, 505 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer series in solid-state sciences 73 Hier auch später erschienene, unveränderte Nachdrucke Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Festkörpertheorie (DE-588)4154189-3 gnd rswk-swf Festkörperphysik (DE-588)4016921-2 gnd rswk-swf Festkörper (DE-588)4016918-2 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Festkörpertheorie (DE-588)4154189-3 s DE-604 Quantentheorie (DE-588)4047992-4 s Festkörper (DE-588)4016918-2 s Quantenmechanik (DE-588)4047989-4 s Festkörperphysik (DE-588)4016921-2 s Kacnel'son, Michail I. 1957- Verfasser (DE-588)172177502 aut Springer series in solid-state sciences 73 (DE-604)BV000016582 73 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001568395&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Vonsovskij, Sergej V. 1910-1998 Kacnel'son, Michail I. 1957- Quantum solid-state physics Springer series in solid-state sciences Quantenmechanik (DE-588)4047989-4 gnd Festkörpertheorie (DE-588)4154189-3 gnd Festkörperphysik (DE-588)4016921-2 gnd Festkörper (DE-588)4016918-2 gnd Quantentheorie (DE-588)4047992-4 gnd |
| subject_GND | (DE-588)4047989-4 (DE-588)4154189-3 (DE-588)4016921-2 (DE-588)4016918-2 (DE-588)4047992-4 |
| title | Quantum solid-state physics |
| title_alt | Kvantovaia fizika tverdogo tela |
| title_auth | Quantum solid-state physics |
| title_exact_search | Quantum solid-state physics |
| title_full | Quantum solid-state physics S. V. Vonsovsky ; M. I. Katsnelson |
| title_fullStr | Quantum solid-state physics S. V. Vonsovsky ; M. I. Katsnelson |
| title_full_unstemmed | Quantum solid-state physics S. V. Vonsovsky ; M. I. Katsnelson |
| title_short | Quantum solid-state physics |
| title_sort | quantum solid state physics |
| topic | Quantenmechanik (DE-588)4047989-4 gnd Festkörpertheorie (DE-588)4154189-3 gnd Festkörperphysik (DE-588)4016921-2 gnd Festkörper (DE-588)4016918-2 gnd Quantentheorie (DE-588)4047992-4 gnd |
| topic_facet | Quantenmechanik Festkörpertheorie Festkörperphysik Festkörper Quantentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001568395&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000016582 |
| work_keys_str_mv | AT vonsovskijsergejv kvantovaiafizikatverdogotela AT kacnelsonmichaili kvantovaiafizikatverdogotela AT vonsovskijsergejv quantumsolidstatephysics AT kacnelsonmichaili quantumsolidstatephysics |