Mathematics of quantization and quantum fields /:
"Unifying a range of topics that are currently scattered throughout the literature, this book offers a unique and definitive review of mathematical aspects of quantization and quantum field theory. The authors present both basic and more advanced topics of quantum field theory in a mathematical...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge :
Cambridge University Press,
2013.
|
| Schriftenreihe: | Cambridge monographs on mathematical physics.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "Unifying a range of topics that are currently scattered throughout the literature, this book offers a unique and definitive review of mathematical aspects of quantization and quantum field theory. The authors present both basic and more advanced topics of quantum field theory in a mathematically consistent way, focusing on canonical commutation and anti-commutation relations. They begin with a discussion of the mathematical structures underlying free bosonic or fermionic fields, such as tensors, algebras, Fock spaces and CCR and CAR representations (including their symplectic and orthogonal invariance). Applications of these topics to physical problems are discussed in later chapters. Although most of the book is devoted to free quantum fields, it also contains an exposition of two important aspects of interacting fields: diagrammatics and the Euclidean approach to constructive quantum field theory. With its in-depth coverage, this text is essential reading for graduate students and researchers in departments of mathematics and physics"-- |
| Beschreibung: | 1 online resource (xii, 674 pages). |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781107336469 1107336465 9781107332423 1107332427 1107326702 9781107326705 0511894546 9780511894541 9781299634657 1299634656 9781107333147 1107333148 9781107334809 1107334802 9781009290876 1009290878 |
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| 520 | |a "Unifying a range of topics that are currently scattered throughout the literature, this book offers a unique and definitive review of mathematical aspects of quantization and quantum field theory. The authors present both basic and more advanced topics of quantum field theory in a mathematically consistent way, focusing on canonical commutation and anti-commutation relations. They begin with a discussion of the mathematical structures underlying free bosonic or fermionic fields, such as tensors, algebras, Fock spaces and CCR and CAR representations (including their symplectic and orthogonal invariance). Applications of these topics to physical problems are discussed in later chapters. Although most of the book is devoted to free quantum fields, it also contains an exposition of two important aspects of interacting fields: diagrammatics and the Euclidean approach to constructive quantum field theory. With its in-depth coverage, this text is essential reading for graduate students and researchers in departments of mathematics and physics"-- |c Provided by publisher | ||
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Introduction -- 1. Vector spaces -- 2. Operators in Hilbert spaces -- 3. Tensor algebras -- 4. Analysis in L2(Rd) -- 5. Measures -- 6. Algebras -- 7. Anti-symmetric calculus -- 8. Canonical commutation relations -- 9. CCR on Fock spaces -- 10. Symplectic invariance of CCR in finite dimensions -- 11. Symplectic invariance of the CCR on Fock spaces -- 12. Canonical anti-commutation relations -- 13. CAR on Fock spaces -- 14. Orthogonal invariance of CAR algebras -- 15. Clifford relations -- 16. Orthogonal invariance of the CAR on Fock spaces -- 17. Quasi-free states -- 18. Dynamics of quantum fields -- 19. Quantum fields on space-time -- 20. Diagrammatics -- 21. Euclidean approach for bosons -- 22. Interacting bosonic fields. | |
| 546 | |a English. | ||
| 650 | 0 | |a Geometric quantization. |0 http://id.loc.gov/authorities/subjects/sh85054127 | |
| 650 | 0 | |a Quantum theory |x Mathematics. | |
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn842929982 |
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| adam_text | |
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| author | Dereziński, Jan, 1957- Gérard, Christian, 1960- |
| author_GND | http://id.loc.gov/authorities/names/n96115330 http://id.loc.gov/authorities/names/n96115336 |
| author_facet | Dereziński, Jan, 1957- Gérard, Christian, 1960- |
| author_role | aut aut |
| author_sort | Dereziński, Jan, 1957- |
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| callnumber-raw | QC174.17.G46 D47 2013eb |
| callnumber-search | QC174.17.G46 D47 2013eb |
| callnumber-sort | QC 3174.17 G46 D47 42013EB |
| callnumber-subject | QC - Physics |
| collection | ZDB-4-EBA |
| contents | Introduction -- 1. Vector spaces -- 2. Operators in Hilbert spaces -- 3. Tensor algebras -- 4. Analysis in L2(Rd) -- 5. Measures -- 6. Algebras -- 7. Anti-symmetric calculus -- 8. Canonical commutation relations -- 9. CCR on Fock spaces -- 10. Symplectic invariance of CCR in finite dimensions -- 11. Symplectic invariance of the CCR on Fock spaces -- 12. Canonical anti-commutation relations -- 13. CAR on Fock spaces -- 14. Orthogonal invariance of CAR algebras -- 15. Clifford relations -- 16. Orthogonal invariance of the CAR on Fock spaces -- 17. Quasi-free states -- 18. Dynamics of quantum fields -- 19. Quantum fields on space-time -- 20. Diagrammatics -- 21. Euclidean approach for bosons -- 22. Interacting bosonic fields. |
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| dewey-raw | 530.1201/51 |
| dewey-search | 530.1201/51 |
| dewey-sort | 3530.1201 251 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
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| genre | Electronic book. |
| genre_facet | Electronic book. |
| id | ZDB-4-EBA-ocn842929982 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:25:20Z |
| institution | BVB |
| isbn | 9781107336469 1107336465 9781107332423 1107332427 1107326702 9781107326705 0511894546 9780511894541 9781299634657 1299634656 9781107333147 1107333148 9781107334809 1107334802 9781009290876 1009290878 |
| language | English |
| oclc_num | 842929982 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xii, 674 pages). |
| psigel | ZDB-4-EBA |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | Cambridge monographs on mathematical physics. |
| series2 | Cambridge monographs on mathematical physics |
| spelling | Dereziński, Jan, 1957- author. https://id.oclc.org/worldcat/entity/E39PBJtH6GtqygHxdGRfmqTyh3 http://id.loc.gov/authorities/names/n96115330 Mathematics of quantization and quantum fields / Jan Dereziński, University of Warsaw ; Christian Gérard, Universite de Paris-Sud. Cambridge : Cambridge University Press, 2013. 1 online resource (xii, 674 pages). text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Cambridge monographs on mathematical physics "Unifying a range of topics that are currently scattered throughout the literature, this book offers a unique and definitive review of mathematical aspects of quantization and quantum field theory. The authors present both basic and more advanced topics of quantum field theory in a mathematically consistent way, focusing on canonical commutation and anti-commutation relations. They begin with a discussion of the mathematical structures underlying free bosonic or fermionic fields, such as tensors, algebras, Fock spaces and CCR and CAR representations (including their symplectic and orthogonal invariance). Applications of these topics to physical problems are discussed in later chapters. Although most of the book is devoted to free quantum fields, it also contains an exposition of two important aspects of interacting fields: diagrammatics and the Euclidean approach to constructive quantum field theory. With its in-depth coverage, this text is essential reading for graduate students and researchers in departments of mathematics and physics"-- Provided by publisher Includes bibliographical references and index. Print version record. Introduction -- 1. Vector spaces -- 2. Operators in Hilbert spaces -- 3. Tensor algebras -- 4. Analysis in L2(Rd) -- 5. Measures -- 6. Algebras -- 7. Anti-symmetric calculus -- 8. Canonical commutation relations -- 9. CCR on Fock spaces -- 10. Symplectic invariance of CCR in finite dimensions -- 11. Symplectic invariance of the CCR on Fock spaces -- 12. Canonical anti-commutation relations -- 13. CAR on Fock spaces -- 14. Orthogonal invariance of CAR algebras -- 15. Clifford relations -- 16. Orthogonal invariance of the CAR on Fock spaces -- 17. Quasi-free states -- 18. Dynamics of quantum fields -- 19. Quantum fields on space-time -- 20. Diagrammatics -- 21. Euclidean approach for bosons -- 22. Interacting bosonic fields. English. Geometric quantization. http://id.loc.gov/authorities/subjects/sh85054127 Quantum theory Mathematics. Quantification géométrique. Théorie quantique Mathématiques. Nuclear physics. bicssc SCIENCE Mathematical Physics. bisacsh SCIENCE Physics Quantum Theory. bisacsh Geometric quantization fast Quantum theory Mathematics fast Quantum field theory Electronic book. Gérard, Christian, 1960- author. https://id.oclc.org/worldcat/entity/E39PCjvDXHF6Rg63M4qCd4H7QC http://id.loc.gov/authorities/names/n96115336 has work: Mathematics of quantization and quantum fields (Text) https://id.oclc.org/worldcat/entity/E39PCFTbW7bBRmcJ7HrPtrTDmb https://id.oclc.org/worldcat/ontology/hasWork Print version: Dereziński, Jan, 1957- Mathematics of quantization and quantum fields. Cambridge : Cambridge University Press, 2013 9781107011113 (DLC) 2012032862 (OCoLC)802323115 Cambridge monographs on mathematical physics. http://id.loc.gov/authorities/names/n42005691 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=539273 Volltext |
| spellingShingle | Dereziński, Jan, 1957- Gérard, Christian, 1960- Mathematics of quantization and quantum fields / Cambridge monographs on mathematical physics. Introduction -- 1. Vector spaces -- 2. Operators in Hilbert spaces -- 3. Tensor algebras -- 4. Analysis in L2(Rd) -- 5. Measures -- 6. Algebras -- 7. Anti-symmetric calculus -- 8. Canonical commutation relations -- 9. CCR on Fock spaces -- 10. Symplectic invariance of CCR in finite dimensions -- 11. Symplectic invariance of the CCR on Fock spaces -- 12. Canonical anti-commutation relations -- 13. CAR on Fock spaces -- 14. Orthogonal invariance of CAR algebras -- 15. Clifford relations -- 16. Orthogonal invariance of the CAR on Fock spaces -- 17. Quasi-free states -- 18. Dynamics of quantum fields -- 19. Quantum fields on space-time -- 20. Diagrammatics -- 21. Euclidean approach for bosons -- 22. Interacting bosonic fields. Geometric quantization. http://id.loc.gov/authorities/subjects/sh85054127 Quantum theory Mathematics. Quantification géométrique. Théorie quantique Mathématiques. Nuclear physics. bicssc SCIENCE Mathematical Physics. bisacsh SCIENCE Physics Quantum Theory. bisacsh Geometric quantization fast Quantum theory Mathematics fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85054127 |
| title | Mathematics of quantization and quantum fields / |
| title_auth | Mathematics of quantization and quantum fields / |
| title_exact_search | Mathematics of quantization and quantum fields / |
| title_full | Mathematics of quantization and quantum fields / Jan Dereziński, University of Warsaw ; Christian Gérard, Universite de Paris-Sud. |
| title_fullStr | Mathematics of quantization and quantum fields / Jan Dereziński, University of Warsaw ; Christian Gérard, Universite de Paris-Sud. |
| title_full_unstemmed | Mathematics of quantization and quantum fields / Jan Dereziński, University of Warsaw ; Christian Gérard, Universite de Paris-Sud. |
| title_short | Mathematics of quantization and quantum fields / |
| title_sort | mathematics of quantization and quantum fields |
| topic | Geometric quantization. http://id.loc.gov/authorities/subjects/sh85054127 Quantum theory Mathematics. Quantification géométrique. Théorie quantique Mathématiques. Nuclear physics. bicssc SCIENCE Mathematical Physics. bisacsh SCIENCE Physics Quantum Theory. bisacsh Geometric quantization fast Quantum theory Mathematics fast |
| topic_facet | Geometric quantization. Quantum theory Mathematics. Quantification géométrique. Théorie quantique Mathématiques. Nuclear physics. SCIENCE Mathematical Physics. SCIENCE Physics Quantum Theory. Geometric quantization Quantum theory Mathematics Electronic book. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=539273 |
| work_keys_str_mv | AT derezinskijan mathematicsofquantizationandquantumfields AT gerardchristian mathematicsofquantizationandquantumfields |