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Title

Quantum stochastic processes arising from the strong resolvent limits of the Schrödinger evolution in Fock space

Authors 1, 1

Affiliations

  1. Moscow State University, Faculty of Physics, Quantum Statistics Department, Moscow 119899, Russia

Abstract

By using F. A. Berezin's canonical transformation method [5], we derive a nonadapted quantum stochastic differential equation (QSDE) as an equation for the strong limit of the family of unitary groups satisfying the Schrödinger equation with singularly degenerating Hamiltonians in Fock space. Stochastic differentials of QSDE generate a nonadapted associative Ito multiplication table, and the coefficients of these differentials satisfy the formal unitarity conditions of the Hudson-Parthasarathy type [10].

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Banach Center Publications
1998/43/1
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Pages:
119-133
Main language of publication
English
Published
1998
Exact and natural sciences