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Exponential formulae in quantum stochastic calculus

Published online by Cambridge University Press:  14 November 2011

A. S. Holevo
A. S. Holevo
Affiliation:
Steklov Mathematical Institute, Vavilova 42, 117966 Moscow, Russia e-mail: [email protected]
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Extract

The rigorous definition of time-ordered exponentials, solving quantum linear stochastic differential equations, is extended to Boson and Fermion stochastic calculi with infinitely many degrees of freedom. The relation to the classicalmultiplicative stochastic integral, solving the Doleans exponential equation, is discussed.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 126 , Issue 2 , 1996 , pp. 375 - 389
Copyright
Copyright © Royal Society of Edinburgh 1996

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