Realisation of a class of Markov processes through unitary evolutions in Fock space
Kalyanapuram Rangachari Parthasarathy (1991)
Séminaire de probabilités de Strasbourg
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Displaying similar documents to “An additional remark on unitary evolutions in Fock space”
Realisation of a class of Markov processes through unitary evolutions in Fock space
Characterization of unitary processes with independent and stationary increments
Lingaraj Sahu, Kalyan B. Sinha (2010)
Annales de l'I.H.P. Probabilités et statistiques
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This is a continuation of the earlier work ( (2009) 745–785) to characterize unitary stationary independent increment gaussian processes. The earlier assumption of uniform continuity is replaced by weak continuity and with technical assumptions on the domain of the generator, unitary equivalence of the process to the solution of an appropriate Hudson–Parthasarathy equation is proved.
Markov chains as Evans-Hudson diffusions in Fock space
Kalyanapuram Rangachari Parthasarathy, Kalyan B. Sinha (1990)
Séminaire de probabilités de Strasbourg
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Unitary dilation and fixed point theorem
Marek Ptak (1989)
Annales Polonici Mathematici
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Inner product-magnitude-preserving transformations in complex Hilbert spaces
W. A. Beyer (1969)
Compositio Mathematica
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Absolute continuity and hyponormal operators.
Putnam, C.R. (1981)
International Journal of Mathematics and Mathematical Sciences
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The unitary amicable pairs to .
Najar, Rudolph M. (1995)
International Journal of Mathematics and Mathematical Sciences
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On Markovian cocycle perturbations in classical and quantum probability.
Amosov, G.G. (2003)
International Journal of Mathematics and Mathematical Sciences
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A generalized Biane process
Kalyanapuram Rangachari Parthasarathy (1990)
Séminaire de probabilités de Strasbourg
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Quantum stochastic processes arising from the strong resolvent limits of the Schrödinger evolution in Fock space
Alexander Chebotarev, Dmitry Victorov (1998)
Banach Center Publications
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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...