Non-commutative chaotic expansion of Hilbert-Schmidt operators on Fock space-Reference-Cited by-同舟云学术

Non-commutative chaotic expansion of Hilbert-Schmidt operators on Fock space

Published:1996-01 Issue:1 Volume:175 Page:43-62
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun.Math. Phys.

Author:

Attal Stéphane

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/BF02101623.pdf

Reference15 articles.

1. Attal, S.: An algebra of non-commutative bounded semimartingales. Square and angle quantum brackets. J. Funct. Anal.124, 292–332 (1994)

2. Lect. Notes in Math.;S. Attal,1993

3. Guichardet, A.: Symmetric Hilbert spaces and related topics. Lect. Notes in Math.261 (1970)

4. Hudson, R.L., Kree, P.: Quantum stochastic calculus for Hilbert-Schmidt processes. Stochastic analysis, path integration and dynamics, K.D. Elworthy, J.-C. Zambrini (eds.) Longman, 1989, pp. 83–93

5. Hudson, R.L., Lindsay, J.M., Parthasarathy, K.R.: Stochastic integral representation of some quantum martingales in Fock space. In: Warwick Symposium on Stochastic Differential Equations and Applications (1984/85), Pitman Research Notes on Mathematics150, 1986, pp. 121–131

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