Many-body approach to electronic excitations: concepts and applications
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| Format: | Book |
| Language: | English |
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Berlin [u.a.]
Springer
2015
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| Series: | Springer series in solid-state sciences
181 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XXXI, 584 S. Ill., graph. Darst. 235 mm x 155 mm |
| ISBN: | 3662445921 9783662445921 |
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| 245 | 1 | 0 | |a Many-body approach to electronic excitations |b concepts and applications |c Friedhelm Bechstedt |
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CONTENTS
PART I ELECTRON-ELECTRON INTERACTION
1 BORN-OPPENHEIMER APPROXIMATION 3
1.1 SOLIDS AND MOLECULES AS MANY-BODY SYSTEMS 3
1.2 DECOUPLING OF ELECTRON AND NUCLEUS MOTION 4
1.3 ATOMIC ARRANGEMENTS 5
1.4 CORE AND VALENCE ELECTRONS 10
REFERENCES 11
2 HAMILTONIAN OF INTERACTING ELECTRONS 13
2.1 QUASI-RELATIVISTIC ELECTRONS 13
2.2 ELECTROMAGNETIC FIELD DUE TO ELECTRONS 15
2.3 RELATIVISTIC AND NON-RELATIVISTIC CONTRIBUTIONS 18
2.4 EXPLICIT TREATMENT OF RELATIVISTIC CORRECTIONS 21
2.4.1 SCALAR-RELATIVISTIC CORRECTIONS 21
2.4.2 SPIN-ORBIT INTERACTION 22
2.4.3 BREIT INTERACTION 23
2.5 TRANSVERSE INTERACTION IN GENERAL 25
REFERENCES 26
3 EXCHANGE AND CORRELATION 29
3.1 FIELD-THEORETICAL DESCRIPTION OF ELECTRONS 29
3.1.1 HAMILTONIAN 29
3.1.2 FIELD OPERATORS 30
3.1.3 SECOND QUANTIZATION 32
3.2 MANY-ELECTRON STATES 33
3.2.1 HILBERT AND FOCK SPACES 33
3.2.2 MANY-BODY SCHRODINGER EQUATION 34
3.2.3 OTHER OPERATORS IN SECOND QUANTIZATION 36
XIII
HTTP://D-NB.INFO/1054230463
XIV CONTENTS
3.3 DENSITY MATRICES AND PAIR CORRELATION FUNCTION 37
3.3.1 EXPECTATION VALUES 37
3.3.2 SUM RULE 38
3.3.3 PAIR CORRELATION FUNCTION 38
3.3.4 EXCHANGE-CORRELATION HOLE 40
3.4 RELATION BETWEEN CORRELATION AND SCREENING 41
3.4.1 VAN HOVE CORRELATION FUNCTION 41
3.4.2 DYNAMIC STRUCTURE FACTOR 42
3.5 SPIN DEPENDENCE 43
3.5.1 SPIN DENSITIES 43
3.5.2 SPIN-RESOLVED PAIR CORRELATION 44
REFERENCES 46
4 HARTREE-FOCK APPROXIMATION 49
4.1 EXCHANGE 49
4.1.1 BEYOND HARTREE APPROXIMATION 49
4.1.2 EXCHANGE ENERGY 50
4.2 HARTREE-FOCK EQUATIONS 52
4.2.1 REPRESENTATION OF FIELD OPERATORS 52
4.2.2 TOTAL ENERGY 53
4.2.3 GROUND STATE: HARTREE-FOCK EQUATIONS 55
4.3 KOOPMANS THEOREM 57
4.3.1 HF TOTAL ENERGY 57
4.3.2 SINGLE-PARTICLE AND NEUTRAL PAIR EXCITATIONS 58
4.3.3 PHYSICAL MEANING OF LAGRANGE MULTIPLIERS )
ML
59
4.4 HOMOGENEOUS ELECTRON GAS 62
4.4.1 JELLIUM MODEL 62
4.4.2 EXCHANGE INTERACTION 64
4.4.3 TOTAL ENERGY 66
4.4.4 EXCHANGE FOR SPIN-POLARIZED SYSTEMS 68
REFERENCES 70
PART II ELECTRONIC GROUND STATE
5 DENSITY FUNCTIONAL THEORY 73
5.1 IDEAS 73
5.1.1 PROBLEM 73
5.1.2 GRASSROOTS: THOMAS-FERMI-DIRAC THEORY 74
5.2 HOHENBERG-KOHN THEORY 76
5.2.1 BASICS 76
5.2.2 HOHENBERG-KOHN THEOREM 1 77
5.2.3 HOHENBERG-KOHN THEOREM II 80
5.2.4 OUTLOOK 82
CONTENTS
XV
5.3 SPIN DENSITY FUNCTIONAL THEORY 83
5.3.1 ELECTRON SPIN DENSITY AND MAGNETIZATION
DENSITY 83
5.3.2 GENERALIZED HOHENBERG-KOHN THEOREMS 84
5.3.3 COLLINEAR SPINS 85
REFERENCES 87
6 KOHN-SHAM SCHEME 89
6.1 KOHN-SHAM ANSATZ 89
6.1.1 TOWARD NEW IDEAS 89
6.1.2 KOHN-SHAM ASSUMPTIONS 90
6.1.3 KINETIC ENERGY OF AUXILIARY SYSTEM 90
6.1.4 FUNCTIONAL WITH INTERACTION 92
6.2 KOHN-SHAM EQUATION 93
6.2.1 VARIATIONAL PROBLEM 93
6.2.2 EIGENVALUE PROBLEM 94
6.2.3 SUMMARY 97
6.3 BEYOND THE GROUND-STATE ENERGY 98
6.3.1 HIGHEST-OCCUPIED KOHN-SHAM EIGENVALUE 98
6.3.2 Z\SCF METHOD 100
REFERENCES 103
7 EXCHANGE-CORRELATION FUNCTIONAL 105
7.1 PROPERTIES OF THE EXACT XC FUNCTIONAL 105
7.1.1 GENERAL REMARKS 105
7.1.2 XC HOLE 106
7.2 LOCAL (SPIN) DENSITY APPROXIMATION 109
7.2.1 RELATION TO HOMOGENEOUS ELECTRON GAS 109
7.2.2 CORRELATION IN A HOMOGENEOUS ELECTRON GAS ILL
7.2.3 INTERPRETATION: ADVANTAGES AND LIMITS 114
7.3 GRADIENT CORRECTIONS 117
7.3.1 DENSITY GRADIENT EXPANSION 117
7.3.2 GENERALIZED GRADIENT APPROXIMATION 117
7.3.3 INFLUENCE OF GRADIENT CORRECTIONS
ON GROUND-STATE PROPERTIES 119
7.3.4 IMPROVED GGA FUNCTIONALS 121
REFERENCES 124
8 ENERGIES AND FORCES 129
8.1
L
AB INITIO' THERMODYNAMICS 129
8.1.1 THERMODYNAMIC RELATIONS 129
8.1.2 EQUATION OF STATE 132
8.1.3 ENERGY DIFFERENCES 134
XVI CONTENTS
8.2 HELLMANN-FEYNMAN FORCES 139
8.2.1 TOTAL ENERGY 139
8.2.2 FORCES 140
8.2.3 K-SPACE FORMALISM 143
8.3 RESTRICTION TO VALENCE ELECTRONS 147
8.3.1 FROZEN CORE APPROXIMATION 147
8.3.2 ATOMIC PSEUDOPOTENTIALS 149
8.3.3 CONSTRUCTION OF PSEUDOPOTENTIALS 152
8.3.4 REFINEMENTS 154
8.4 NON-LINEAR CORE CORRECTIONS 157
REFERENCES 158
9 NON-LOCAL EXCHANGE AND CORRELATION 163
9.1 HUBBARD U CORRECTION TO DENSITY FUNCTIONAL THEORY 163
9.1.1 PROBLEM AND IDEA 163
9.1.2 AROUND MEAN FIELD CORRECTIONS 164
9.1.3 ROTATIONALLY INVARIANT SCHEME 167
9.1.4 EXAMPLES 170
9.2 HYBRID FUNCTIONALS 174
9.2.1 NON-LOCALITY 174
9.2.2 INCLUSION OF SCREENING 175
9.2.3 GENERALIZED KOHN-SHAM PROBLEMS 176
9.2.4 EXAMPLES/APPLICATIONS 178
9.3 VAN DER WAALS INTERACTION 183
9.3.1 THE MISSING LINK 183
9.3.2 ADIABATIC-CONNECTION FLUCTUATION-DISSIPATION
THEOREM 184
9.3.3 EXACT-EXCHANGE PLUS CORRELATION IN RPA 187
9.3.4 FURTHER DEVELOPMENTS 189
REFERENCES 191
PART III SINGLE-PARTICLE EXCITATIONS: QUASIELECTRONS
AND QUASIHOLES
10 DESCRIPTION OF ELECTRON ENSEMBLE 199
10.1 DYNAMICAL CHARACTERIZATION 199
10.1.1 TIME EVOLUTION 199
10.1.2 INTERACTION WITH NUCLEI AND BETWEEN ELECTRONS 200
10.1.3 EQUATIONS OF MOTION 202
10.2 STATISTICAL CHARACTERIZATION 204
10.2.1 GRAND CANONICAL ENSEMBLE 204
CONTENTS XVII
10.2.2 EXPECTATION VALUES 205
10.2.3 RELATION TO THERMODYNAMICS 206
REFERENCES 207
11 THERMODYNAMIC GREEN FUNCTIONS 209
11.1 DEFINITION 209
11.1.1 PROPAGATORS 209
11.1.2 TIME STRUCTURE 212
11.1.3 SPECTRAL-(WEIGHT) FUNCTION 214
11.1.4 SPECTRAL REPRESENTATIONS 215
11.1.5 ADVANTAGES OF THERMODYNAMIC GREEN
FUNCTIONS 219
11.2 RELATION TO OBSERVABLES 221
11.2.1 DENSITY OF STATES 221
11.2.2 MAGNETIZATION, ELECTRON, AND CURRENT DENSITIES 221
11.2.3 GALITSKII-MIGDAL FORMULA 223
11.3 DYSON EQUATION 224
11.3.1 EQUATION OF MOTION 224
11.3.2 SELF-ENERGY 226
11.3.3 INTEGRAL EQUATION VERSUS DIFFERENTIAL EQUATION 228
REFERENCES 230
12 SET OF FUNDAMENTAL EQUATIONS 231
12.1 SCHWINGER FUNCTIONAL DERIVATIVE TECHNIQUE 231
12.1.1 EXTERNAL PERTURBATIONS 231
12.1.2 METHOD OF VARIATIONAL DERIVATIVE 234
12.1.3 EXCHANGE AND CORRELATION CONTRIBUTIONS
TO SELF-ENERGY 235
12.1.4 MODIFIED EQUATION OF MOTION .* 236
12.2 RESPONSE FUNCTIONS 238
12.2.1 DENSITY CORRELATION FUNCTION 238
12.2.2 POLARIZATION AND VERTEX FUNCTIONS 240
12.2.3 XC SELF-ENERGY AND SCREENED POTENTIAL 243
12.3 HEDIN EQUATIONS 247
12.3.1 SUMMARY OF IMPORTANT RELATIONS 247
12.3.2 GW APPROXIMATION 249
12.3.3 . CONSEQUENCES FOR DIELECTRIC PROPERTIES
AND SCREENING 250
REFERENCES 252
13 DENSITY CORRELATION AND ELECTRONIC POLARIZATION 255
13.1 INVERSE DIELECTRIC FUNCTION 255
13.1.1 SPECTRAL FUNCTION OF DENSITY CORRELATION
FUNCTION 255
XVIII CONTENTS
13.1.2 /-SUM RULE 258
13.1.3 SCREENING SUM RULE 259
13.2 KRAMERS-KRONIG RELATIONS 262
13.2.1 INVERSION 262
13.2.2 FOURIER REPRESENTATIONS 262
13.2.3 CONSEQUENCES OF ANALYTIC PROPERTIES 264
13.3 APPROXIMATE SCREENING FUNCTIONS 266
13.3.1 INHOMOGENEOUS AND HOMOGENEOUS ELECTRON
GASES 266
13.3.2 ELECTRON GAS IN NON-METALS 271
13.3.3 SPATIAL INHOMOGENEITY 275
13.3.4 IMAGE POTENTIAL EFFECTS 278
REFERENCES 284
14 SELF-ENERGY 287
14.1 QUASIPARTICLE PICTURE 287
14.1.1 REFERENCE SYSTEM 287
14.1.2 APPROXIMATE SPECTRAL FUNCTION IN INSULATORS 291
14.1.3 BLOCH-LANDAU QUASIPARTICLES IN METALS 299
14.2 SELF-CONSISTENCY 302
14.2.1 QUASIPARTICLE SHIFTS AND STRENGTHS 302
14.2.2 QUASIPARTICLE WAVE FUNCTIONS 305
14.3 STANDARD TREATMENT 309
14.3.1 BLOCH-FOURIER REPRESENTATION 309
14.3.2 FIRST ITERATION 312
14.4 QUASIPARTICLE SHIFTS 316
14.4.1 PHYSICAL AND NUMERICAL APPROACHES 316
14.4.2 INFLUENCE OF STATE SYMMETRY AND OCCUPATION 317
14.4.3 INFLUENCE OF REFERENCE ELECTRONIC STRUCTURE 320
REFERENCES 324
15 MODEL GW STUDIES 327
15.1 COULOMB HOLE AND SCREENED EXCHANGE 327
15.1.1 DECOMPOSITION IN REAL SPACE 327
15.1.2 MATRIX ELEMENTS 329
15.1.3 VALIDITY OF COHSEX APPROXIMATION 333
15.1.4 GAP SHRINKAGE DUE TO FREE CARRIERS 336
15.2 DIRECT MODELING OF QP SHIFTS 338
15.2.1 APPROXIMATE MATRIX ELEMENTS OF XC POTENTIAL 338
15.2.2 CONSEQUENCES OF MODEL SCREENING 339
15.2.3 QP SHIFTS FOR SEMICONDUCTORS 341
15.3 APPROXIMATE TREATMENT OF XC IN REFERENCE SYSTEM 343
15.3.1 SELF-ENERGY DIFFERENCE 343
CONTENTS *I*
15.3.2 AVERAGE STATIC RESULT 344
15.3.3 SCISSORS OPERATOR 346
REFERENCES 349
16 QUASIPARTICLE ELECTRONIC STRUCTURES 351
16.1 SEMICONDUCTORS AND INSULATORS 351
16.1.1 FUNDAMENTAL ENERGY GAPS 351
16.1.2 CHALLENGES AND ACHIEVEMENTS 354
16.1.3 BANDS, DISPERSION, AND EFFECTIVE MASSES 357
16.1.4 DENSITY OF STATES 360
16.2 METALLIC AND MAGNETIC SYSTEMS 365
16.2.1 SIMPLE METALS 365
16.2.2 D-ELECTRON METALS 367
16.2.3 ANTIFERROMAGNETIC AND FERROMAGNETIC INSULATORS 369
16.3 LOW-DIMENSIONAL SYSTEMS 372
16.3.1 MOLECULES 372
16.3.2 CLUSTERS AND NANOCRYSTALS 377
16.3.3 SURFACES AND TWO-DIMENSIONAL CRYSTALS 379
REFERENCES 387
17 SATELLITES 395
17.1 FACTS 395
17.1.1 MEASUREMENT OF SPECTRAL FUNCTIONS 395
17.1.2 CORE-ELECTRON SPECTRA IN SUDDEN LIMIT 399
17.1.3 LOSSES AND DYNAMICAL SCREENING 401
17.2 REASONABLE APPROACHES 404
17.2.1 BLOMBERG-BERGERSEN-KUS METHOD 404
17.2.2 EXCITATION OF DISPERSIONLESS FERMIONS 406
17.2.3 CONSEQUENCES 407
17.3 EXAMPLES 410
17.3.1 CORE-HOLE EXCITATIONS 410
17.3.2 VALENCE-ELECTRON SPECTRA 411
17.3.3 CONDUCTION ELECTRONS 412
REFERENCES 414
PART IV PAIR AND COLLECTIVE EXCITATIONS
18 BETHE-SALPETER EQUATIONS FOR RESPONSE FUNCTIONS 419
18.1 CHARACTERISTIC INTEGRAL EQUATIONS 419
18.1.1 GENERAL FOUR-POINT FORMS 419
18.1.2 RANDOM PHASE APPROXIMATION 421
18.1.3 GW APPROXIMATION 422
XX CONTENTS
18.2 SPIN STRUCTURE 424
18.2.1 SINGLET AND TRIPLET STATES 424
18.2.2 TRANSFORMATION IN SPIN SPACE 426
18.2.3 RESPONSE FUNCTIONS IN SINGLET
AND TRIPLET BASIS STATES 427
18.3 MACROSCOPIC DIELECTRIC FUNCTION 428
18.3.1 RELATION TO MICROSCOPIC DIELECTRIC FUNCTION 428
18.3.2 ELEMENTARY EXCITATIONS AND THEIR MEASUREMENT 431
18.3.3 MACROSCOPIC POLARIZATION FUNCTION 434
REFERENCES 437
19 ELECTRON-HOLE PROBLEM 439
19.1 PAIR HAMILTONIAN 439
19.1.1 STATIC SCREENING 439
19.1.2 SPIN-SPACE REPRESENTATION 441
19.2 TWO-PARTICLE PROBLEM 443
19.2.1 EFFECTIVE HAMILTONIAN 443
19.2.2 GENERALIZED EIGENVALUE PROBLEM 445
19.2.3 MACROSCOPIC FUNCTIONS 446
19.3 ELECTRON-HOLE-PAIR EXCITATIONS 448
19.3.1 RESONANT AND ANTIRESONANT PAIRS 448
19.3.2 SPIN STRUCTURE OF.
PAIR HAMILTONIAN 452
19.3.3 NUMERICAL METHODS AND RESULTS 454
REFERENCES 456
20 OPTICAL PROPERTIES 459
20.1 TRANSITION MATRIX ELEMENTS 459
20.1.1 LONGITUDINAL AND TRANSVERSE FORMULATION 459
20.1.2 ALL-ELECTRON WAVE FUNCTIONS 461
20.1.3 RESULTING VALUES AND CONSEQUENCES 462
20.2 MANY-BODY EFFECTS 466
20.2.1 GENERAL TRENDS 466
20.2.2 VALIDITY OF SCENARIO OF VAN HOVE SINGULARITIES 470
20.2.3 SUMMARY AND CONCLUSIONS 474
20.3 ABSORPTION, REFRACTION, REFLECTION AND ENERGY
LOSS SPECTRA 476
20.3.1 BULK ANORGANIC CRYSTALS 476
20.3.2 ORGANIC, HYDROGEN-BONDED, AND MAGNETIC
SYSTEMS 480
20.3.3 LOW-DIMENSIONAL SYSTEMS 488
REFERENCES 494
CONTENTS XXI
21 EXCITONS 499
21.1 ELECTRON-HOLE PAIRS: TOP-DOWN APPROACH 499
21.1.1 TERMINOLOGY 499
21.1.2 EXCITON EQUATION: K-SPACE FORMULATION 501
21.1.3 NUMERICAL STUDIES 506
21.2 WANNIER-MOTT EXCITONS 510
21.2.1 HYDROGEN PROBLEM 510
21.2.2 ALLOWED AND FORBIDDEN OPTICAL TRANSITIONS 515
21.2.3 LONGITUDINAL-TRANSVERSE SPLITTING 520
21.3 LOCALIZED EXCITONS 522
21.3.1 FRENKEL EXCITONS 522
21.3.2 CHARGE-TRANSFER EXCITONS 528
21.3.3 EXCITONS IN LOW-DIMENSIONAL SYSTEMS 529
REFERENCES 536
22 BEYOND STATIC SCREENING 539
22.1 DYNAMICAL EFFECTS 539
22.1.1 SHINDO APPROXIMATION 539
22.1.2 DYNAMICALLY SCREENED EXCITONS 544
22.1.3 EXAMPLES 546
22.2 INTERFERENCE EFFECTS 552
22.2.1 SATELLITES OF ELECTRON-HOLE PAIRS 552
22.2.2 SPECTRAL WEIGHTS 556
22.2.3 COMPENSATION OF DYNAMICAL EFFECTS 557
22.3 FREE-CARRIER SCREENING 560
22.3.1 MOTT TRANSITION AND BURSTEIN-MOSS SHIFT 560
22.3.2 EXCITONS IN TRANSPARENT CONDUCTING OXIDES 565
22.3.3 MAHAN EXCITONS 568
REFERENCES 570
INDEX 573 |
| any_adam_object | 1 |
| author | Bechstedt, Friedhelm |
| author_facet | Bechstedt, Friedhelm |
| author_role | aut |
| author_sort | Bechstedt, Friedhelm |
| author_variant | f b fb |
| building | Verbundindex |
| bvnumber | BV042266922 |
| classification_rvk | UL 3000 UP 1100 |
| ctrlnum | (OCoLC)906884636 (DE-599)DNB1054230463 |
| dewey-full | 530 530.411 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530 530.411 |
| dewey-search | 530 530.411 |
| dewey-sort | 3530 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
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| id | DE-604.BV042266922 |
| illustrated | Illustrated |
| indexdate | 2024-08-03T02:03:30Z |
| institution | BVB |
| isbn | 3662445921 9783662445921 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027704546 |
| oclc_num | 906884636 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-384 DE-83 DE-20 DE-29T DE-11 DE-188 |
| owner_facet | DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-384 DE-83 DE-20 DE-29T DE-11 DE-188 |
| physical | XXXI, 584 S. Ill., graph. Darst. 235 mm x 155 mm |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Springer |
| record_format | marc |
| series | Springer series in solid-state sciences |
| series2 | Springer series in solid-state sciences |
| spelling | Bechstedt, Friedhelm Verfasser aut Many-body approach to electronic excitations concepts and applications Friedhelm Bechstedt Berlin [u.a.] Springer 2015 XXXI, 584 S. Ill., graph. Darst. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Springer series in solid-state sciences 181 Literaturangaben Vielteilchentheorie (DE-588)4331960-9 gnd rswk-swf Elektronische Anregung (DE-588)4463785-8 gnd rswk-swf Kondensierte Materie (DE-588)4132810-3 gnd rswk-swf Kondensierte Materie (DE-588)4132810-3 s Elektronische Anregung (DE-588)4463785-8 s Vielteilchentheorie (DE-588)4331960-9 s DE-604 Erscheint auch als Online-Ausgabe 978-3-662-44593-8 Springer series in solid-state sciences 181 (DE-604)BV000016582 181 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4727587&prov=M&dok%5Fvar=1&dok%5Fext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027704546&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bechstedt, Friedhelm Many-body approach to electronic excitations concepts and applications Springer series in solid-state sciences Vielteilchentheorie (DE-588)4331960-9 gnd Elektronische Anregung (DE-588)4463785-8 gnd Kondensierte Materie (DE-588)4132810-3 gnd |
| subject_GND | (DE-588)4331960-9 (DE-588)4463785-8 (DE-588)4132810-3 |
| title | Many-body approach to electronic excitations concepts and applications |
| title_auth | Many-body approach to electronic excitations concepts and applications |
| title_exact_search | Many-body approach to electronic excitations concepts and applications |
| title_full | Many-body approach to electronic excitations concepts and applications Friedhelm Bechstedt |
| title_fullStr | Many-body approach to electronic excitations concepts and applications Friedhelm Bechstedt |
| title_full_unstemmed | Many-body approach to electronic excitations concepts and applications Friedhelm Bechstedt |
| title_short | Many-body approach to electronic excitations |
| title_sort | many body approach to electronic excitations concepts and applications |
| title_sub | concepts and applications |
| topic | Vielteilchentheorie (DE-588)4331960-9 gnd Elektronische Anregung (DE-588)4463785-8 gnd Kondensierte Materie (DE-588)4132810-3 gnd |
| topic_facet | Vielteilchentheorie Elektronische Anregung Kondensierte Materie |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4727587&prov=M&dok%5Fvar=1&dok%5Fext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027704546&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000016582 |
| work_keys_str_mv | AT bechstedtfriedhelm manybodyapproachtoelectronicexcitationsconceptsandapplications |