000			03240nam a22003858i 4500
001			CR9780511894541
003			UkCbUP
005			20200124160238.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			101116s2013||||enk o ||1 0|eng|d
020			_a9780511894541 (ebook)
020			_z9781107011113 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQC174.17.G46 _bD47 2013
082	0	0	_a530.1201/51 _223
100	1		_aDereziński, Jan, _d1957- _eauthor.
245	1	0	_aMathematics of quantization and quantum fields / _cJan Dereziński, University of Warsaw, Poland, Christian Gérard, Universite de Paris-Sud, France.
246	3		_aMathematics of Quantization & Quantum Fields
264		1	_aCambridge : _bCambridge University Press, _c2013.
300			_a1 online resource (xii, 674 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge monographs on mathematical physics
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_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.
520			_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.
650		0	_aGeometric quantization.
650		0	_aQuantum theory _xMathematics.
700	1		_aGérard, Christian, _d1960- _eauthor.
776	0	8	_iPrint version: _z9781107011113
830		0	_aCambridge monographs on mathematical physics.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511894541
999			_c518278 _d518276