Symmetry and condensed matter physics: a computational approach
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2008
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 922 S. graph. Darst. |
| ISBN: | 9780521828451 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | SYMMETRY AND CONDENSED MATTER PHYSICS A COMPUTATIONAL APPROACH M.
EL-BATANOUNY BOSTON UNIVERSITY F. WOOTEN UNIVERSITY OF CALIFORNIA, DAVIS
CAMBRIDGE UNIVERSITY PRESS CONTENTS PREFACE PAGE XI 1 SYMMETRY AND
PHYSICS 1 1.1 INTRODUCTION 1 1.2 HAMILTONIANS, EIGENFUNCTIONS, AND
EIGENVALUES 5 1.3 SYMMETRY OPERATORS AND OPERATOR ALGEBRA 9 1.4
POINT-SYMMETRY OPERATIONS 14 1.5 APPLICATIONS TO QUANTUM MECHANICS 17
EXERCISES 19 2 SYMMETRY AND GROUP THEORY 21 2.1 GROUPS AND THEIR
REALIZATIONS 21 2.2 THE SYMMETRIC GROUP 25 2.3 COMPUTATIONAL ASPECTS 30
2.4 CLASSES 34 2.5 HOMOMORPHISM, ISOMORPHISM, AND AUTOMORPHISM 41 2.6
DIRECT- OR OUTER-PRODUCT GROUPS 42 EXERCISES 43 3 GROUP REPRESENTATIONS:
CONCEPTS 51 3.1 REPRESENTATIONS AND REALIZATIONS 52 3.2 GENERATION OF
REPRESENTATIONS ON A SET OF BASIS FUNCTIONS 62 EXERCISES 67 4 GROUP
REPRESENTATIONS: FORMALISM AND METHODOLOGY 69 4.1 MATRIX REPRESENTATIONS
. 69 4.2 CHARACTER OF A MATRIX REPRESENTATION 78 4.3 BURNSIDE S METHOD
85 EXERCISES 94 COMPUTATIONAL PROJECTS 95 5 DIXON S METHOD FOR COMPUTING
GROUP CHARACTERS 96 5.1 THE EIGENVALUE EQUATION MODULO P 96 5.2 DIXON S
METHOD FOR IRREDUCIBLE CHARACTERS 99 VIII CONTENTS 5.3 COMPUTER CODES
FOR DIXON S METHOD 107 APPENDIX 1 FINDING EIGENVALUES AND EIGENVECTORS
116 EXERCISES 128 APPENDIX 2 128 COMPUTATION PROJECT 133 6 GROUP ACTION
AND SYMMETRY PROJECTION OPERATORS 134 6.1 GROUP ACTION 134 6.2 SYMMETRY
PROJECTION OPERATORS 138 6.3 THE REGULAR PROJECTION MATRICES: THE SIMPLE
CHARACTERISTIC 157 EXERCISES 162 7 CONSTRUCTION OF THE IRREDUCIBLE
REPRESENTATIONS 164 7.1 EIGENVECTORS OF THE REGULAR REP 164 7.2 THE
SYMMETRY STRUCTURE OF THE REGULAR REP EIGENVECTORS 168 7.3 SYMMETRY
PROJECTION ON REGULAR REP EIGENVECTORS 170 7.4 COMPUTER CONSTRUCTION OF
IRREPS WITH & A 1 172 7.5 SUMMARY OF THE METHOD 176 EXERCISE 178 8
PRODUCT GROUPS AND PRODUCT REPRESENTATIONS 179 8.1 INTRODUCTION 179 8.2
SUBGROUPS AND COSETS 179 8.3 DIRECT OUTER-PRODUCT GROUPS 185 8.4
SEMIDIRECT PRODUCT GROUPS 190 8.5 DIRECT INNER-PRODUCT GROUPS AND THEIR
REPRESENTATIONS 191 8.6 PRODUCT REPRESENTATIONS AND THE CLEBSCH-GORDAN
SERIES 192 8.7 COMPUTER CODES 208 8.8 SUMMARY 214 EXERCISES 215 9
INDUCED REPRESENTATIONS 217 9.1 INTRODUCTION 217 9.2 SUBDUCED REPS AND
COMPATIBILITY RELATIONS 217 9.3 INDUCTION OF GROUP REPS FROM THE IRREPS
OF ITS SUBGROUPS 219 9.4 IRREPS INDUCED FROM INVARIANT SUBGROUPS 230 9.5
EXAMPLES OF IRREP INDUCTION USING THE METHOD OF LITTLE-GROUPS 247
APPENDIX FROBENIUS RECIPROCITY THEOREM AND OTHER USEFUL THEOREMS 257
EXERCISES 261 10 CRYSTALLOGRAPHIC SYMMETRY AND SPACE-GROUPS 263 10.1
EUCLIDEAN SPACE 263 10.2 CRYSTALLOGRAPHY 272 10.3 THE PERFECT CRYSTAL
273 10.4 SPACE-GROUP OPERATIONS: THE SEITZ OPERATORS 294 10.5 SYMMORPHIC
AND NONSYMMORPHIC SPACE-GROUPS 297 10.6 SITE-SYMMETRIES AND THE WYCKOFF
NOTATION 323 CONTENTS IX 10.7 FOURIER SPACE CRYSTALLOGRAPHY 347
EXERCISES 357 11 SPACE-GROUPS: IRREPS 362 11.1 IRREPS OF THE TRANSLATION
GROUP 362 11.2 INDUCTION OF IRREPS OF SPACE-GROUPS 377 EXERCISES 407 12
TIME-REVERSAL SYMMETRY: COLOR GROUPS AND THE ONSAGER RELATIONS 409 12.1
INTRODUCTION 409 12.2 THE TIME-REVERSAL OPERATOR IN QUANTUM MECHANICS
409 12.3 SPIN-1/2 AND DOUBLE-GROUPS 419 12.4 MAGNETIC AND COLOR GROUPS
429 12.5 THE TIME-REVERSED REPRESENTATION: THEORY OF COREPRESENTATIONS
442 12.6 THEORY OF CRYSTAL FIELDS 458 12.7 ONSAGER RECIPROCITY THEOREM
(ONSAGER RELATIONS) AND TRANSPORT PROPERTIES 464 EXERCISES 472 13
TENSORS AND TENSOR FIELDS 474 13.1 TENSORS AND THEIR SPACE-TIME
SYMMETRIES 474 13.2 CONSTRUCTION OF SYMMETRY-ADAPTED TENSORS 487 13.3
DESCRIPTION AND CLASSIFICATION OF MATTER TENSORS 498 13.4 TENSOR FIELD
REPRESENTATIONS 536 EXERCISES 551 14 ELECTRONIC PROPERTIES OF SOLIDS 552
14.1 INTRODUCTION 552 14.2 THE ONE-ELECTRON APPROXIMATIONS AND
SELF-CONSISTENT-FIELD THEORIES 552 14.3 METHODS AND TECHNIQUES FOR BAND
STRUCTURE CALCULATIONS 566 14.4 ELECTRONIC STRUCTURE OF MAGNETICALLY
ORDERED SYSTEMS 618 APPENDIX 1 DERIVATION OF THE HARTREE-FOCK EQUATIONS
632 APPENDIX 2 HOLSTEIN-PRIMAKOFF (HP) OPERATORS 633 EXERCISES 636 15
DYNAMICAL PROPERTIES OF MOLECULES, SOLIDS, AND SURFACES 638 15.1
INTRODUCTION 638 15.2 DYNAMICAL PROPERTIES OF MOLECULES 638 15.3
DYNAMICAL PROPERTIES OF SOLIDS 668 15.4 DYNAMICAL PROPERTIES OF SURFACES
702 APPENDIX 1 COULOMB INTERACTIONS AND THE METHOD OF EWALD SUMMATIONS
704 APPENDIX 2 ELECTRONIC EFFECTS ON PHONONS IN INSULATORS AND
SEMICONDUCTORS 708 EXERCISES 713 16 EXPERIMENTAL MEASUREMENTS AND
SELECTION RULES 716 16.1 INTRODUCTION 716 16.2 SELECTION RULES 717 16.3
DIFFERENTIAL SCATTERING CROSS-SECTIONS IN THE BORN APPROXIMATION 721 X
CONTENTS 16.4 LIGHT SCATTERING SPECTROSCOPIES 727 16.5 PHOTOEMISSION AND
DIPOLE SELECTION RULES 739 16.6 NEUTRON AND ATOM SCATTERING
SPECTROSCOPIES 748 EXERCISES 775 17 LANDAU S THEORY OF PHASE TRANSITIONS
777 17.1 PHASE TRANSITIONS AND THEIR CLASSIFICATION 777 17.2 LANDAU
THEORY OF PHASE TRANSITIONS: PRINCIPLES 781 17.3 CONSTRUCTION AND
MINIMIZATION TECHNIQUES FOR A 3 830 EXERCISES 856 18 INCOMMENSURATE
SYSTEMS AND QUASI-CRYSTALS 858 18.1 INTRODUCTION 858 18.2 THE CONCEPT OF
HIGHER-DIMENSIONAL SPACES: SUPERSPACES AND SUPERLATTICES 865 18.3
QUASI-CRYSTAL SYMMETRY: THE NOTION OF INDISTINGUISHABILITY AND THE
CLASSIFICATION OF SPACE-GROUPS 879 18.4 TWO-DIMENSIONAL LATTICES,
CYCLOTOMIC INTEGERS, AND AXIAL STACKING 887 BIBLIOGRAPHY 901 REFERENCES
903 INDEX 912
|
| adam_txt |
SYMMETRY AND CONDENSED MATTER PHYSICS A COMPUTATIONAL APPROACH M.
EL-BATANOUNY BOSTON UNIVERSITY F. WOOTEN UNIVERSITY OF CALIFORNIA, DAVIS
CAMBRIDGE UNIVERSITY PRESS CONTENTS PREFACE PAGE XI 1 SYMMETRY AND
PHYSICS 1 1.1 INTRODUCTION 1 1.2 HAMILTONIANS, EIGENFUNCTIONS, AND
EIGENVALUES 5 1.3 SYMMETRY OPERATORS AND OPERATOR ALGEBRA 9 1.4
POINT-SYMMETRY OPERATIONS 14 1.5 APPLICATIONS TO QUANTUM MECHANICS 17
EXERCISES 19 2 SYMMETRY AND GROUP THEORY 21 2.1 GROUPS AND THEIR
REALIZATIONS 21 2.2 THE SYMMETRIC GROUP 25 2.3 COMPUTATIONAL ASPECTS 30
2.4 CLASSES 34 2.5 HOMOMORPHISM, ISOMORPHISM, AND AUTOMORPHISM 41 2.6
DIRECT- OR OUTER-PRODUCT GROUPS 42 EXERCISES 43 3 GROUP REPRESENTATIONS:
CONCEPTS 51 3.1 REPRESENTATIONS AND REALIZATIONS 52 3.2 GENERATION OF
REPRESENTATIONS ON A SET OF BASIS FUNCTIONS 62 EXERCISES 67 4 GROUP
REPRESENTATIONS: FORMALISM AND METHODOLOGY 69 4.1 MATRIX REPRESENTATIONS
. 69 4.2 CHARACTER OF A MATRIX REPRESENTATION 78 4.3 BURNSIDE'S METHOD
85 EXERCISES 94 COMPUTATIONAL PROJECTS 95 5 DIXON'S METHOD FOR COMPUTING
GROUP CHARACTERS 96 5.1 THE EIGENVALUE EQUATION MODULO P 96 5.2 DIXON'S
METHOD FOR IRREDUCIBLE CHARACTERS 99 VIII CONTENTS 5.3 COMPUTER CODES
FOR DIXON'S METHOD 107 APPENDIX 1 FINDING EIGENVALUES AND EIGENVECTORS
116 EXERCISES 128 APPENDIX 2 128 COMPUTATION PROJECT 133 6 GROUP ACTION
AND SYMMETRY PROJECTION OPERATORS 134 6.1 GROUP ACTION 134 6.2 SYMMETRY
PROJECTION OPERATORS 138 6.3 THE REGULAR PROJECTION MATRICES: THE SIMPLE
CHARACTERISTIC 157 EXERCISES 162 7 CONSTRUCTION OF THE IRREDUCIBLE
REPRESENTATIONS 164 7.1 EIGENVECTORS OF THE REGULAR REP 164 7.2 THE
SYMMETRY STRUCTURE OF THE REGULAR REP EIGENVECTORS 168 7.3 SYMMETRY
PROJECTION ON REGULAR REP EIGENVECTORS 170 7.4 COMPUTER CONSTRUCTION OF
IRREPS WITH & A 1 172 7.5 SUMMARY OF THE METHOD 176 EXERCISE 178 8
PRODUCT GROUPS AND PRODUCT REPRESENTATIONS 179 8.1 INTRODUCTION 179 8.2
SUBGROUPS AND COSETS 179 8.3 DIRECT OUTER-PRODUCT GROUPS 185 8.4
SEMIDIRECT PRODUCT GROUPS 190 8.5 DIRECT INNER-PRODUCT GROUPS AND THEIR
REPRESENTATIONS 191 8.6 PRODUCT REPRESENTATIONS AND THE CLEBSCH-GORDAN
SERIES 192 8.7 COMPUTER CODES 208 8.8 SUMMARY 214 EXERCISES 215 9
INDUCED REPRESENTATIONS 217 9.1 INTRODUCTION 217 9.2 SUBDUCED REPS AND
COMPATIBILITY RELATIONS 217 9.3 INDUCTION OF GROUP REPS FROM THE IRREPS
OF ITS SUBGROUPS 219 9.4 IRREPS INDUCED FROM INVARIANT SUBGROUPS 230 9.5
EXAMPLES OF IRREP INDUCTION USING THE METHOD OF LITTLE-GROUPS 247
APPENDIX FROBENIUS RECIPROCITY THEOREM AND OTHER USEFUL THEOREMS 257
EXERCISES 261 10 CRYSTALLOGRAPHIC SYMMETRY AND SPACE-GROUPS 263 10.1
EUCLIDEAN SPACE 263 10.2 CRYSTALLOGRAPHY 272 10.3 THE PERFECT CRYSTAL
273 10.4 SPACE-GROUP OPERATIONS: THE SEITZ OPERATORS 294 10.5 SYMMORPHIC
AND NONSYMMORPHIC SPACE-GROUPS 297 10.6 SITE-SYMMETRIES AND THE WYCKOFF
NOTATION 323 CONTENTS IX 10.7 FOURIER SPACE CRYSTALLOGRAPHY 347
EXERCISES 357 11 SPACE-GROUPS: IRREPS 362 11.1 IRREPS OF THE TRANSLATION
GROUP 362 11.2 INDUCTION OF IRREPS OF SPACE-GROUPS 377 EXERCISES 407 12
TIME-REVERSAL SYMMETRY: COLOR GROUPS AND THE ONSAGER RELATIONS 409 12.1
INTRODUCTION 409 12.2 THE TIME-REVERSAL OPERATOR IN QUANTUM MECHANICS
409 12.3 SPIN-1/2 AND DOUBLE-GROUPS 419 12.4 MAGNETIC AND COLOR GROUPS
429 12.5 THE TIME-REVERSED REPRESENTATION: THEORY OF COREPRESENTATIONS
442 12.6 THEORY OF CRYSTAL FIELDS 458 12.7 ONSAGER RECIPROCITY THEOREM
(ONSAGER RELATIONS) AND TRANSPORT PROPERTIES 464 EXERCISES 472 13
TENSORS AND TENSOR FIELDS 474 13.1 TENSORS AND THEIR SPACE-TIME
SYMMETRIES 474 13.2 CONSTRUCTION OF SYMMETRY-ADAPTED TENSORS 487 13.3
DESCRIPTION AND CLASSIFICATION OF MATTER TENSORS 498 13.4 TENSOR FIELD
REPRESENTATIONS 536 EXERCISES 551 14 ELECTRONIC PROPERTIES OF SOLIDS 552
14.1 INTRODUCTION 552 14.2 THE ONE-ELECTRON APPROXIMATIONS AND
SELF-CONSISTENT-FIELD THEORIES 552 14.3 METHODS AND TECHNIQUES FOR BAND
STRUCTURE CALCULATIONS 566 14.4 ELECTRONIC STRUCTURE OF MAGNETICALLY
ORDERED SYSTEMS 618 APPENDIX 1 DERIVATION OF THE HARTREE-FOCK EQUATIONS
632 APPENDIX 2 HOLSTEIN-PRIMAKOFF (HP) OPERATORS 633 EXERCISES 636 15
DYNAMICAL PROPERTIES OF MOLECULES, SOLIDS, AND SURFACES 638 15.1
INTRODUCTION 638 15.2 DYNAMICAL PROPERTIES OF MOLECULES 638 15.3
DYNAMICAL PROPERTIES OF SOLIDS 668 15.4 DYNAMICAL PROPERTIES OF SURFACES
702 APPENDIX 1 COULOMB INTERACTIONS AND THE METHOD OF EWALD SUMMATIONS
704 APPENDIX 2 ELECTRONIC EFFECTS ON PHONONS IN INSULATORS AND
SEMICONDUCTORS 708 EXERCISES 713 16 EXPERIMENTAL MEASUREMENTS AND
SELECTION RULES 716 16.1 INTRODUCTION 716 16.2 SELECTION RULES 717 16.3
DIFFERENTIAL SCATTERING CROSS-SECTIONS IN THE BORN APPROXIMATION 721 X
CONTENTS 16.4 LIGHT SCATTERING SPECTROSCOPIES 727 16.5 PHOTOEMISSION AND
DIPOLE SELECTION RULES 739 16.6 NEUTRON AND ATOM SCATTERING
SPECTROSCOPIES 748 EXERCISES 775 17 LANDAU'S THEORY OF PHASE TRANSITIONS
777 17.1 PHASE TRANSITIONS AND THEIR CLASSIFICATION 777 17.2 LANDAU
THEORY OF PHASE TRANSITIONS: PRINCIPLES 781 17.3 CONSTRUCTION AND
MINIMIZATION TECHNIQUES FOR A 3 830 EXERCISES 856 18 INCOMMENSURATE
SYSTEMS AND QUASI-CRYSTALS 858 18.1 INTRODUCTION 858 18.2 THE CONCEPT OF
HIGHER-DIMENSIONAL SPACES: SUPERSPACES AND SUPERLATTICES 865 18.3
QUASI-CRYSTAL SYMMETRY: THE NOTION OF INDISTINGUISHABILITY AND THE
CLASSIFICATION OF SPACE-GROUPS 879 18.4 TWO-DIMENSIONAL LATTICES,
CYCLOTOMIC INTEGERS, AND AXIAL STACKING 887 BIBLIOGRAPHY 901 REFERENCES
903 INDEX 912 |
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| ctrlnum | (OCoLC)154706366 (DE-599)BSZ277363411 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 539 - Modern physics |
| dewey-raw | 539.7/25 |
| dewey-search | 539.7/25 |
| dewey-sort | 3539.7 225 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| discipline_str_mv | Physik |
| edition | 1. publ. |
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| id | DE-604.BV023204614 |
| illustrated | Illustrated |
| index_date | 2024-07-02T20:09:25Z |
| indexdate | 2024-07-09T21:13:00Z |
| institution | BVB |
| isbn | 9780521828451 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016390788 |
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| owner_facet | DE-703 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-634 DE-83 DE-29T DE-11 DE-20 DE-384 |
| physical | XIV, 922 S. graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Cambridge University Press |
| record_format | marc |
| spelling | El-Batanouny, Michael 1947- Verfasser (DE-588)135975336 aut Symmetry and condensed matter physics a computational approach M. El-Batanouny ; F. Wooten 1. publ. Cambridge Cambridge University Press 2008 XIV, 922 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Matière condensée Symétrie (Physique) Condensed matter Symmetry (Physics) Condensed matter / Computer programs Symmetry (Physics) / Computer programs Crystallography, Mathematical Crystallography, Mathematical / Computer programs Condensed matter / Problems, exercises, etc Symmetry (Physics) / Problems, exercises, etc Festkörperphysik (DE-588)4016921-2 gnd rswk-swf Symmetrie (DE-588)4058724-1 gnd rswk-swf Festkörperphysik (DE-588)4016921-2 s Symmetrie (DE-588)4058724-1 s DE-604 Wooten, Frederick Verfasser aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016390788&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | El-Batanouny, Michael 1947- Wooten, Frederick Symmetry and condensed matter physics a computational approach Matière condensée Symétrie (Physique) Condensed matter Symmetry (Physics) Condensed matter / Computer programs Symmetry (Physics) / Computer programs Crystallography, Mathematical Crystallography, Mathematical / Computer programs Condensed matter / Problems, exercises, etc Symmetry (Physics) / Problems, exercises, etc Festkörperphysik (DE-588)4016921-2 gnd Symmetrie (DE-588)4058724-1 gnd |
| subject_GND | (DE-588)4016921-2 (DE-588)4058724-1 |
| title | Symmetry and condensed matter physics a computational approach |
| title_auth | Symmetry and condensed matter physics a computational approach |
| title_exact_search | Symmetry and condensed matter physics a computational approach |
| title_exact_search_txtP | Symmetry and condensed matter physics a computational approach |
| title_full | Symmetry and condensed matter physics a computational approach M. El-Batanouny ; F. Wooten |
| title_fullStr | Symmetry and condensed matter physics a computational approach M. El-Batanouny ; F. Wooten |
| title_full_unstemmed | Symmetry and condensed matter physics a computational approach M. El-Batanouny ; F. Wooten |
| title_short | Symmetry and condensed matter physics |
| title_sort | symmetry and condensed matter physics a computational approach |
| title_sub | a computational approach |
| topic | Matière condensée Symétrie (Physique) Condensed matter Symmetry (Physics) Condensed matter / Computer programs Symmetry (Physics) / Computer programs Crystallography, Mathematical Crystallography, Mathematical / Computer programs Condensed matter / Problems, exercises, etc Symmetry (Physics) / Problems, exercises, etc Festkörperphysik (DE-588)4016921-2 gnd Symmetrie (DE-588)4058724-1 gnd |
| topic_facet | Matière condensée Symétrie (Physique) Condensed matter Symmetry (Physics) Condensed matter / Computer programs Symmetry (Physics) / Computer programs Crystallography, Mathematical Crystallography, Mathematical / Computer programs Condensed matter / Problems, exercises, etc Symmetry (Physics) / Problems, exercises, etc Festkörperphysik Symmetrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016390788&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT elbatanounymichael symmetryandcondensedmatterphysicsacomputationalapproach AT wootenfrederick symmetryandcondensedmatterphysicsacomputationalapproach |