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008130514s2013 enk ob 001 0 eng d
020 ▼a 9781107336469 (electronic bk.)
020 ▼a 1107336465 (electronic bk.)
020 ▼z 9781107011113
020 ▼z 1107011116
035 ▼a (OCoLC)842929982
035 ▼a 539273 ▼b (N$T)
040 ▼a N$T ▼c N$T ▼d 248032
049 ▼a N$TA
050 4 ▼a QC174.17.G46 ▼b D47 2013eb
072 7 ▼a SCI ▼x 057000 ▼2 bisacsh
08204 ▼a 530.1201/51 ▼2 23
084 ▼a SCI040000 ▼2 bisacsh
1001 ▼a Derezin?ski, Jan, ▼d 1957-
24510 ▼a Mathematics of quantization and quantum fields ▼h [electronic resource] / ▼c Jan Derezin?ski, University of Warsaw; Christian Ge?rard, Universite de Paris-Sud.
260 ▼a Cambridge : ▼b Cambridge University Press, ▼c 2013.
300 ▼a 1 online resource (xii, 674 p.)
4901 ▼a Cambridge monographs on mathematical physics
504 ▼a Includes bibliographical references and index.
5058 ▼a 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.
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.
588 ▼a Description based on print version record.
650 0 ▼a Geometric quantization.
650 0 ▼a Quantum theory ▼x Mathematics.
650 7 ▼a SCIENCE / Mathematical Physics. ▼2 bisacsh
650 7 ▼a SCIENCE / Physics / Quantum Theory ▼2 bisacsh
655 4 ▼a Electronic books.
7001 ▼a Ge?rard, Christian, ▼d 1960-
77608 ▼i Print version: ▼a Derezin?ski, Jan, 1957- ▼t Mathematics of quantization and quantum fields. ▼d Cambridge : Cambridge University Press, 2013 ▼z 9781107011113 ▼w (DLC) 2012032862 ▼w (OCoLC)802323115
830 0 ▼a Cambridge monographs on mathematical physics.
85640 ▼3 EBSCOhost ▼u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=539273
910 ▼a cpp1723AUTO
938 ▼a EBSCOhost ▼b EBSC ▼n 539273
990 ▼a 관리자
994 ▼a 02 ▼b N$T