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].
@article{bwmeta1.element.bwnjournal-article-bcpv43i1p119bwm,
author = {Chebotarev, Alexander and Victorov, Dmitry},
title = {Quantum stochastic processes arising from the strong resolvent limits of the Schr\"odinger evolution in Fock space},
journal = {Banach Center Publications},
volume = {43},
year = {1998},
pages = {119-133},
zbl = {0939.47061},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv43i1p119bwm}
}
Chebotarev, Alexander; Victorov, Dmitry. Quantum stochastic processes arising from the strong resolvent limits of the Schrödinger evolution in Fock space. Banach Center Publications, Tome 43 (1998) pp. 119-133. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv43i1p119bwm/
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