000			04891cam a2200673Ia 4500
001			ocn162578484
003			OCoLC
005			20141103172227.0
006			m o d
007			cr cn|||||||||
008			070806s2000 nyu ob 001 0 eng d
040			_aOPELS _beng _cOPELS _dOCLCG _dOPELS _dOCLCQ _dN$T _dYDXCP _dBTCTA _dIDEBK _dTULIB _dOCLCO _dOCLCQ _dOPELS _dOCLCF _dDEBBG
019			_a173240342 _a173509145 _a176966818 _a779920302
020			_a9780444506214
020			_a0444506217
020			_a9780080540085 (electronic bk.)
020			_a0080540082 (electronic bk.)
029	1		_aNZ1 _b12433527
029	1		_aAU@ _b000048129390
029	1		_aDEBBG _bBV039830190
029	1		_aNZ1 _b15192881
029	1		_aDEBBG _bBV036962322
035			_a(OCoLC)162578484 _z(OCoLC)173240342 _z(OCoLC)173509145 _z(OCoLC)176966818 _z(OCoLC)779920302
037			_a120973:128147 _bElsevier Science & Technology _nhttp://www.sciencedirect.com
050		4	_aQC174.17.G46 _bC37 2000eb
072		7	_aQA _2lcco
072		7	_aSCI _x057000 _2bisacsh
082	0	4	_a530.12/01/516 _222
049			_aTEFA
100	1		_aCarroll, Robert Wayne, _d1930-
245	1	0	_aQuantum theory, deformation, and integrability _h[electronic resource] / _cRobert Carroll.
250			_a1st ed.
260			_aNew York : _bElsevier Science B.V., _c2000.
300			_a1 online resource (xi, 407 p.)
490	1		_aNorth-Holland mathematics studies ; _v186
520			_aAbout four years ago a prominent string theorist was quoted as saying that it might be possible to understand quantum mechanics by the year 2000. Sometimes new mathematical developments make such understanding appear possible and even close, but on the other hand, increasing lack of experimental verification make it seem to be further distant. In any event one seems to arrive at new revolutions in physics and mathematics every year. This book hopes to convey some of the excitment of this period, but will adopt a relatively pedestrian approach designed to illuminate the relations between quantum and classical. There will be some discussion of philosophical matters such as measurement, uncertainty, decoherence, etc. but philosophy will not be emphasized; generally we want to enjoy the fruits of computation based on the operator formulation of QM and quantum field theory. In Chapter 1 connections of QM to deterministic behavior are exhibited in the trajectory representations of Faraggi-Matone. Chapter 1 also includes a review of KP theory and some preliminary remarks on coherent states, density matrices, etc. and more on deterministic theory. We develop in Chapter 4 relations between quantization and integrability based on Moyal brackets, discretizations, KP, strings and Hirota formulas, and in Chapter 2 we study the QM of embedded curves and surfaces illustrating some QM effects of geometry. Chapter 3 is on quantum integrable systems, quantum groups, and modern deformation quantization. Chapter 5 involves the Whitham equations in various roles mediating between QM and classical behavior. In particular, connections to Seiberg-Witten theory (arising in <IT>N</IT> = 2 supersymmetric (susy) Yang-Mills (YM) theory) are discussed and we would still like to understand more deeply what is going on. Thus in Chapter 5 we will try to give some conceptual background for susy, gauge theories, renormalization, etc. from both a physical and mathematical point of view. In Chapter 6 we continue the deformation quantization then by exhibiting material based on and related to noncommutative geometry and gauge theory.
504			_aIncludes bibliographical references and index.
588			_aDescription based on print version record.
650		0	_aGeometric quantization.
650		0	_aOperator algebras.
650		0	_aMathematical physics.
650		6	_aQuantification g�eom�etrique.
650		6	_aAlg�ebres d'op�erateurs.
650		6	_aPhysique math�ematique.
650		7	_aSCIENCE _xPhysics _xQuantum Theory. _2bisacsh
650		7	_aGeometric quantization. _2fast _0(OCoLC)fst00940837
650		7	_aMathematical physics. _2fast _0(OCoLC)fst01012104
650		7	_aOperator algebras. _2fast _0(OCoLC)fst01046408
655		4	_aElectronic books.
776	0	8	_iPrint version: _aCarroll, Robert Wayne, 1930- _tQuantum theory, deformation, and integrability. _b1st ed. _dNew York : Elsevier Science B.V., 2000 _z0444506217 _z9780444506214 _w(DLC) 00047685 _w(OCoLC)45024489
830		0	_aNorth-Holland mathematics studies ; _v186.
856	4	0	_3ScienceDirect _uhttp://www.sciencedirect.com/science/book/9780444506214
856	4		_uhttp://www.sciencedirect.com/science/publication?issn=03040208&volume=186 _3Volltext
938			_aYBP Library Services _bYANK _n2636884
938			_aBaker and Taylor _bBTCP _nBK0007466606
938			_aEBSCOhost _bEBSC _n205328
942			_cEB
994			_aC0 _bTEF
999			_c21927 _d21927