자료유형 | E-Book |
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개인저자 | Derezin?ski, Jan, 1957- Ge?rard, Christian, 1960- |
서명/저자사항 | Mathematics of quantization and quantum fields[electronic resource] /Jan Derezin?ski, University of Warsaw; Christian Ge?rard, Universite de Paris-Sud. |
발행사항 | Cambridge : Cambridge University Press, 2013. |
형태사항 | 1 online resource (xii, 674 p.) |
총서사항 | Cambridge monographs on mathematical physics |
ISBN | 9781107336469 (electronic bk.) 1107336465 (electronic bk.) |
서지주기 | Includes bibliographical references and index. |
내용주기 | Machine generated contents note: 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; Subject index; Symbols index. |
요약 | "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"-- |
일반주제명 | Geometric quantization. Quantum theory -- Mathematics. SCIENCE / Mathematical Physics. SCIENCE / Physics / Quantum Theory |
언어 | 영어 |
기타형태 저록 | Print version:Derezin?ski, Jan, 1957-Mathematics of quantization and quantum fields.Cambridge : Cambridge University Press, 20139781107011113 |
대출바로가기 | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=539273 |
인쇄
No. | 등록번호 | 청구기호 | 소장처 | 도서상태 | 반납예정일 | 예약 | 서비스 | 매체정보 |
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1 | WE00013435 | 530.1201/51 | 가야대학교/전자책서버(컴퓨터서버)/ | 대출가능 |