Mathematical theory of quantum fields:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Japanese |
| Published: |
Oxford [u.a.]
Oxford Univ. Press
1999
|
| Edition: | 1. publ. |
| Series: | The international series of monographs on physics
101 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Japan. übers. |
| Physical Description: | XII, 236 S. |
| ISBN: | 0198517734 |
Staff View
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Record in the Search Index
| _version_ | 1804127320251826176 |
|---|---|
| adam_text | MATHEMATICAL THEORY OF QUANTUM FIELDS HUZIHIRO ARAKI DEPARTMENT OF
MATHEMATICS FACULTY OF SCIENCE AND TECHNOLOGY THE SCIENCE UNIVERSITY OF
TOKYO JAPAN TRANSLATED BY URSULA CAROW-WATAMURA DEPARTMENT OF PHYSICS
TOHOKU UNIVERSITY JAPAN OXPORD UNIVERSITY PRESS CONTENTS 1 STATES AND
OBSERVABLES 1 1.1 PROBABILISTIC DESCRIPTION L 1.2 STATES AND OBSERVABLES
2 1.3 FUNCTIONS OF OBSERVABLES 3 1.4 THE EXPECTATION VALUE OF AN
OBSERVABLE 7 1.5 MIXTURE AND PURE STATES 8 1.6 THE PHYSICAL TOPOLOGY OF
THE STATES 13 1.7 EQUIVALENT THEORIES 14 1.8 SYMMETRIES 16 2 QUANTUM
THEORY 19 2.1 THE QUANTUM MECHANICAL DESCRIPTION 19 2.2 ALGEBRAIC
VIEWPOINT 27 2.3 THE REPRESENTATION ASSOCIATED WITH A STATE: GNS
CONSTRUCTION 33 2.4 THE SYMMETRIES OF QUANTUM MECHANICS 42 2.5
SYMMETRIES FROM THE ALGEBRAIC POINT OF VIEW 53 3 THE RELATIVISTIC
SYMMETRY 58 3.1 MINKOWSKI SPACE 58 3.2 THE INHOMOGENEOUS LORENTZ GROUP
59 3.3 THE RELATIVISTIC SYMMETRY IN QUANTUM MECHANICS 61 3.4 IRREDUCIBLE
REPRESENTATIONS AND ONE-PARTICLE STATES 66 3.5 FREE PARTICLE SYSTEM AND
FOCK SPACE 70 3.6 ENERGY MOMENTUM 75 4 LOCAL OBSERVABLES 78 4.1 GENERAL
PROPERTIES OF LOCAL OBSERVABLES 78 4.2 THE VACUUM STATE 80 4.3
IRREDUCIBILITY 84 4.4 MASS GAP AND EXPONENTIAL CLUSTERING PROPERTY 89
4.5 THE JLD REPRESENTATION 92 4.6 TRUNCATED EXPECTATION VALUES AND
MULTIPLE CLUSTERING PROPERTY 97 4.7 ADDITIVITY ASSUMPTION AND
REEH-SCHLIEDER THEOREM 100 4.8 QUANTUM FIELD THEORY 102 4.9 FROM QUANTUM
FIELDS TO LOCAL OBSERVABLES 106 5 SCATTERING THEORY 108 5.1 THE CONCEPT
OF SCATTERING STATES AND THE S- MATRIX 108 5.2 DESCRIPTION OF ASYMPTOTIC
STATES 111 XLL CONTENTS 5.3 CONSTRUCTION OF ASYMPTOTIC STATES 113 5.4
THE COUNTER INTERPRETATION OF ASYMPTOTIC STATES*VERIFICATION OF AN
APPROPRIATE ASYMPTOTIC BEHAVIOUR 128 5.5 ASYMPTOTIC CONDITIONS AND
REDUCTION FORMULA FOR THE S-MATRIX 133 5.6 ANALYTICITY AND TCP SYMMETRY
151 6 SECTOR THEORY 160 6.1 SUPERSELECTION RULES AND LOCALIZED
EXCITATIONS 160 6.2 LOCALIZED ENDOMORPHISMS AND SECTORS 166 6.3
PERMUTATION OF EXCITATIONS AND STATISTICS OF A SECTOR 171 6.4 CHARGE
CONJUGATE SECTOR 181 6.5 OPERATOR ALGEBRA SYSTEM OF FIELDS AND GAUGE
GROUPS 184 6.6 THEORY OF LOCAL CHARGES 187 APPENDIX A: HILBERT SPACE AND
OPERATORS 19 3 A.L HILBERT SPACE 193 A.2 PRE-HILBERT SPACE AND
COMPLETION 194 A.3 ORTHONORMAL BASIS 195 A.4 UNITARY AND ANTIUNITARY
MAPS 196 A.5 SUBSPACES AND PROJECTION OPERATORS 198 A.6 DIRECT SUM AND
DIRECT INTEGRAL 199 A.7 SPECTRAL DECOMPOSITION 201 A.8 TRACE 203 A.9
UNBOUNDED OPERATORS 204 A. 10 ONE-PARAMETER GROUP OF UNITARY OPERATORS
205 A. 11 TENSOR PRODUCT 206 APPENDIX B: OPERATOR ALGEBRAS 208 B.L C*
ALGEBRAS 208 B.2 VON NEUMANN ALGEBRAS 210 APPENDIX C: FREE FIELDS 216
C.L CHARGED SCALAR FIELD 216 C.2 ONE PARTICLE SYSTEM WITH POSITIVE MASS
AND ARBITRARY SPIN 217 C.3 EXAMPLES OF FREE FIELDS WITH POSITIVE MASS
AND INTEGER SPIN 218 C.4 EXAMPLES OF FREE FIELDS WITH POSITIVE MASS AND
HALF ODD INTEGER SPIN 220 GENERAL LITERATURE AND REFERENCES 222
REFERENCES FOR CHAPTER 1 224 REFERENCES FOR CHAPTER 2 224 REFERENCES FOR
CHAPTER 3 225 REFERENCES FOR CHAPTER 4 226 REFERENCES FOR CHAPTER 5 227
REFERENCES FOR CHAPTER 6 230 LITERATURE FOR APPENDICES 232 INDEX 233
|
| any_adam_object | 1 |
| author | Araki, Huzihiro 1932-2022 |
| author_GND | (DE-588)134152417 |
| author_facet | Araki, Huzihiro 1932-2022 |
| author_role | aut |
| author_sort | Araki, Huzihiro 1932-2022 |
| author_variant | h a ha |
| building | Verbundindex |
| bvnumber | BV012661816 |
| classification_rvk | SK 950 UO 4000 |
| classification_tum | PHY 011f PHY 023f |
| ctrlnum | (OCoLC)318271030 (DE-599)BVBBV012661816 |
| dewey-full | 530.143 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.143 |
| dewey-search | 530.143 |
| dewey-sort | 3530.143 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV012661816 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:31:28Z |
| institution | BVB |
| isbn | 0198517734 |
| language | English Japanese |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008603514 |
| oclc_num | 318271030 |
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| physical | XII, 236 S. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| series | The international series of monographs on physics |
| series2 | The international series of monographs on physics Oxford science publications |
| spelling | Araki, Huzihiro 1932-2022 Verfasser (DE-588)134152417 aut Ryoshiba no Suri Mathematical theory of quantum fields Huzihiro Araki 1. publ. Oxford [u.a.] Oxford Univ. Press 1999 XII, 236 S. txt rdacontent n rdamedia nc rdacarrier The international series of monographs on physics 101 Oxford science publications Aus dem Japan. übers. Teoría del campo cuántico Mathematik (DE-588)4037944-9 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 s Mathematik (DE-588)4037944-9 s DE-604 The international series of monographs on physics 101 (DE-604)BV000106406 101 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008603514&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Araki, Huzihiro 1932-2022 Mathematical theory of quantum fields The international series of monographs on physics Teoría del campo cuántico Mathematik (DE-588)4037944-9 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4047984-5 |
| title | Mathematical theory of quantum fields |
| title_alt | Ryoshiba no Suri |
| title_auth | Mathematical theory of quantum fields |
| title_exact_search | Mathematical theory of quantum fields |
| title_full | Mathematical theory of quantum fields Huzihiro Araki |
| title_fullStr | Mathematical theory of quantum fields Huzihiro Araki |
| title_full_unstemmed | Mathematical theory of quantum fields Huzihiro Araki |
| title_short | Mathematical theory of quantum fields |
| title_sort | mathematical theory of quantum fields |
| topic | Teoría del campo cuántico Mathematik (DE-588)4037944-9 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
| topic_facet | Teoría del campo cuántico Mathematik Quantenfeldtheorie |
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