Quantum stochastic differential equations driven by free noises and dilations of markovian semigroups
Maria Elvira Mancino (1994)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “On the existence of a class of stationary quantum stochastic processes”
Quantum stochastic differential equations driven by free noises and dilations of markovian semigroups
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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...