Quantum Stochastic Analysis – an Introduction
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By quantum stochastic analysis is meant the analysis arising from the natural operator filtration of a symmetric Fock space over a Hilbert space of squareintegrable vector-valued functions on the positive half-line. Current texts on quantum stochastics are the monograph [Par], the lecture notes [Mey], the St. Flour lectures [Bia], and the Grenoble lectures [Hud]. Excellent background together with a wealth of examples may be found in these, each of which has its own emphasis. The point of view of these notes is closest to [Bia], as far as the basic construction of quantum stochastic integrals goes. Beyond that, particular emphasis is given to Markovian cocycles.
KeywordsHilbert Space Matrix Space Stochastic Generator Quantum Dynamical Semigroup Canonical Commutation Relation
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