Abstract
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.
Keywords
- Hilbert Space
- Matrix Space
- Stochastic Generator
- Quantum Dynamical Semigroup
- Canonical Commutation Relation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 2005 Springer-Verlag Berlin/Heidelberg
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Lindsay, J. (2005). Quantum Stochastic Analysis – an Introduction. In: Schürmann, M., Franz, U. (eds) Quantum Independent Increment Processes I. Lecture Notes in Mathematics, vol 1865. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11376569_3
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DOI: https://doi.org/10.1007/11376569_3
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24406-6
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