000			02505 a2200349 4500
999			_c53449 _d53449
008			200924b ||||| |||| 00| 0 eng d
020			_a9783034805650
082			_a519.2 _bPAR
100			_aParthasarathy, K. R.
245			_aIntroduction to quantum stochastic calculus
260			_bBirkhäuser, _c2013. _aBasel:
300			_axi, 290 p.; _bpb; _c24 cm.
365			_aEURO _b74.99
440			_aModern Birkhäuser classics.
504			_aIncludes bibliographical references (pages 275-282) and indexes.
520			_a"Elegantly written, with obvious appreciation for fine points of higher mathematics...most notable is [the] author's effort to weave classical probability theory into [a] quantum framework." – The American Mathematical Monthly "This is an excellent volume which will be a valuable companion both for those who are already active in the field and those who are new to it. Furthermore there are a large number of stimulating exercises scattered through the text which will be invaluable to students." – Mathematical Reviews An Introduction to Quantum Stochastic Calculus aims to deepen our understanding of the dynamics of systems subject to the laws of chance both from the classical and the quantum points of view and stimulate further research in their unification. This is probably the first systematic attempt to weave classical probability theory into the quantum framework and provides a wealth of interesting features: The origin of Ito's correction formulae for Brownian motion and the Poisson process can be traced to communication relations or, equivalently, the uncertainty principle. Quantum stochastic interpretation enables the possibility of seeing new relationships between fermion and boson fields. Quantum dynamical semigroups as well as classical Markov semigroups are realized through unitary operator evolutions. The text is almost self-contained and requires only an elementary knowledge of operator theory and probability theory at the graduate level.
650			_aMathematics
650			_aProbabilities
650			_aObservables
650			_aDynamics
650			_aNotational Preliminaries
650			_aQuantum Probability
650			_aSpectral Integration
650			_aProbability Distributions
650			_aFock Spaces
650			_aWeyl Representation
650			_aStochastic Integration
650			_aDifferential Equations
650			_aLinear Maps
650			_aQuantum Dynamical Semigroups
942			_2ddc _cTD