000			02869nam a22004098i 4500
001			CR9780511618529
003			UkCbUP
005			20200124160224.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090915s2007||||enk o ||1 0|eng|d
020			_a9780511618529 (ebook)
020			_z9780521834506 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA274 _b.G67 2007
082	0	0	_a519.2/3 _222
100	1		_aSinha, Kalyan B., _eauthor.
245	1	0	_aQuantum stochastic processes and noncommutative geometry / _cKalyan B. Sinha, Debashish Goswami.
246	3		_aQuantum Stochastic Processes & Noncommutative Geometry
264		1	_aCambridge : _bCambridge University Press, _c2007.
300			_a1 online resource (x, 290 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge tracts in mathematics ; _v169
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aIntroduction -- Preliminaries -- Quantum dynamical semigroups -- Hilbert modules -- Quantum stochastic calculus with bounded coefficients -- Dilation of quantum dynamical semigroups with bounded generator -- Quantum stochastic calculus with unbounded coefficients -- Dilation of quantum dynamical semigroups with unbounded generator -- Noncommutative geometry and quantum stochastic processes.
520			_aThe classical theory of stochastic processes has important applications arising from the need to describe irreversible evolutions in classical mechanics; analogously quantum stochastic processes can be used to model the dynamics of irreversible quantum systems. Noncommutative, i.e. quantum, geometry provides a framework in which quantum stochastic structures can be explored. This book is the first to describe how these two mathematical constructions are related. In particular, key ideas of semigroups and complete positivity are combined to yield quantum dynamical semigroups (QDS). Sinha and Goswami also develop a general theory of Evans-Hudson dilation for both bounded and unbounded coefficients. The unique features of the book, including the interaction of QDS and quantum stochastic calculus with noncommutative geometry and a thorough discussion of this calculus with unbounded coefficients, will make it of interest to graduate students and researchers in functional analysis, probability and mathematical physics.
650		0	_aStochastic processes.
650		0	_aQuantum groups.
650		0	_aNoncommutative differential geometry.
650		0	_aQuantum theory.
700	1		_aGoswami, Debashish, _eauthor.
776	0	8	_iPrint version: _z9780521834506
830		0	_aCambridge tracts in mathematics ; _v169.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511618529
999			_c517033 _d517031