On the Generator of the Solution of a Quantum Stochastic Differential Equation

DOI10.1080/15326340600877927zbMath1112.60057OpenAlexW2079410162WikidataQ115295195 ScholiaQ115295195MaRDI QIDQ3424140

Roberto Quezada, Oswaldo G. Gaxiola

Publication date: 15 February 2007

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326340600877927

zbMATH Keywords

defect indicesFosimal generator

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Linear symmetric and selfadjoint operators (unbounded) (47B25) Stochastic quantization (81S20)

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Covariant Markov dilations of quantum dynamical semigroups
• What is a quantum stochastic equation from the point of view of functional analysis?
• ON THE HAMILTONIAN OPERATOR ASSOCIATED TO SOME QUANTUM STOCHASTIC DIFFERENTIAL EQUATIONS
• HILLE–YOSIDA ESTIMATE AND NONCONSERVATIVITY CRITERIA FOR QUANTUM DYNAMICAL SEMIGROUPS
• The Hamiltonian operator associated with some quantum stochastic evolutions

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