Quantum Stratonovich calculus and the quantum Wong-Zakai theorem

DOI10.1063/1.2354331zbMath1112.81067arXivmath-ph/0511046OpenAlexW2161443196WikidataQ61948670 ScholiaQ61948670MaRDI QIDQ3442109

John E. Gough

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0511046

Mathematics Subject Classification ID

Quantum stochastic calculus (81S25) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Stochastic integrals (60H05) Applications of functional analysis in quantum physics (46N50) Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46Lxx)

Related Items (8)

Singular perturbation of quantum stochastic differential equations with coupling through an oscillator mode ⋮ The Stratonovich formulation of quantum feedback network rules ⋮ Classical and quantum stochastic models of resistive and memristive circuits ⋮ The Gough-James model for quantum feedback networks in Belavkin's representation ⋮ Symplectic noise and the classical analog of the Lindblad generator. Does the regression hypothesis also fail in classical physics? ⋮ Characteristic operator functions for quantum input-plant-output models and coherent control ⋮ Commutativity of the adiabatic elimination limit of fast oscillatory components and the instantaneous feedback limit in quantum feedback networks ⋮ A quantum extended Kalman filter

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