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Quasi-free stochastic integral representation theorems over the CCR

Published online by Cambridge University Press:  24 October 2008

Ivan F. Wilde
Ivan F. Wilde
Affiliation:
Department of Mathematics, King's College, Strand, London WC 2R 2LS
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Abstract

It is shown that each vector in the Hilbert space of certain quasi-free representations of the CCR can be written uniquely in terms of quantum stochastic integrals. As a consequence, we obtain general vector-valued and operator-valued boson quantum martingale representation theorems.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 104 , Issue 2 , September 1988 , pp. 383 - 398
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

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