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Mathematics of quantization and quantum fields [electronic resource] /

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개인저자Derezin?ski, Jan, 1957-
Ge?rard, Christian, 1960-
서명/저자사항Mathematics of quantization and quantum fields[electronic resource] /Jan Derezin?ski, University of Warsaw; Christian Ge?rard, Universite de Paris-Sud.
발행사항Cambridge : Cambridge University Press, 2013.
형태사항1 online resource (xii, 674 p.)
총서사항Cambridge monographs on mathematical physics
ISBN9781107336469 (electronic bk.)
1107336465 (electronic bk.)


서지주기Includes bibliographical references and index.
내용주기Machine 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"--
일반주제명Geometric quantization.
Quantum theory -- Mathematics.
SCIENCE / Mathematical Physics.
SCIENCE / Physics / Quantum Theory
언어영어
기타형태 저록Print version:Derezin?ski, Jan, 1957-Mathematics of quantization and quantum fields.Cambridge : Cambridge University Press, 20139781107011113
대출바로가기http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=539273

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