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

• Autorzy: Alexander M. Chebotarev , Dmitry V. Victorov
• Języki publikacji: EN

Abstrakty

EN

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].

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1998
• Tom: 43
• Numer: 1
• Strony: 119-133

Daty

wydano

1998

Twórcy

autor

Alexander M. Chebotarev

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

autor

Dmitry V. Victorov

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

Bibliografia

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