LEADER 03999nam  22006612  450 
001 9910463326103321
005 20151005020622.0
010   $a1-107-33563-9
010   $a1-107-33242-7
010   $a1-107-32670-2
010   $a1-107-33314-8
010   $a1-107-33646-5
010   $a1-107-33480-2
010   $a0-511-89454-6
035   $a(CKB)2670000000338698
035   $a(EBL)1139577
035   $a(OCoLC)843192059
035   $a(SSID)ssj0000834742
035   $a(PQKBManifestationID)11457434
035   $a(PQKBTitleCode)TC0000834742
035   $a(PQKBWorkID)10982047
035   $a(PQKB)10111469
035   $a(UkCbUP)CR9780511894541
035   $a(MiAaPQ)EBC1139577
035   $a(Au-PeEL)EBL1139577
035   $a(CaPaEBR)ebr10695335
035   $a(CaONFJC)MIL494715
035   $a(EXLCZ)992670000000338698
100   $a20101116d2013||||  uy|            0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aMathematics of quantization and quantum fields /$fJan Derezin?ski, University of Warsaw, Poland, Christian Ge?rard, Universite de Paris-Sud, France$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2013.
215   $a1 online resource (xii, 674 pages) $cdigital, PDF file(s)
225 1 $aCambridge monographs on mathematical physics
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a1-107-01111-6 
320   $aIncludes bibliographical references and indexes.
327   $aIntroduction -- 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.
330   $aUnifying a range of topics that are currently scattered throughout the literature, this book offers a unique and definitive review of mathematical aspects of quantization and quantum field theory. The authors present both basic and more advanced topics of quantum field theory in a mathematically consistent way, focusing on canonical commutation and anti-commutation relations. They begin with a discussion of the mathematical structures underlying free bosonic or fermionic fields, like tensors, algebras, Fock spaces, and CCR and CAR representations (including their symplectic and orthogonal invariance). Applications of these topics to physical problems are discussed in later chapters. Although most of the book is devoted to free quantum fields, it also contains an exposition of two important aspects of interacting fields: diagrammatics and the Euclidean approach to constructive quantum field theory. With its in-depth coverage, this text is essential reading for graduate students and researchers in departments of mathematics and physics.
410  0$aCambridge monographs on mathematical physics.
517 3 $aMathematics of Quantization & Quantum Fields
606   $aGeometric quantization
606   $aQuantum theory$xMathematics
615  0$aGeometric quantization.
615  0$aQuantum theory$xMathematics.
676   $a530.1201/51
700   $aDerezin?ski$b Jan$f1957-$01055953
702   $aGe?rard$b Christian$f1960-
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910463326103321
996   $aMathematics of quantization and quantum fields$92489818
997   $aUNINA