The Quantum Stochastic Differential Equation Is Unitarily Equivalent to a Symmetric Boundary Value Problem for the Schrödinger Equation

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dc.creatorChebotarev, Alexander M.
dc.date1997-06-19
dc.date.accessioned2026-07-07T09:13:48Z
dc.date.available2026-07-07T09:13:48Z
dc.descriptionWe prove that the solution of the Hudson-Parthasarathy quantum stochastic differential equation in the Fock space coincides with the solution of a symmetric boundary value problem for the Schrödinger equation in the interaction representation generated by the energy operator of the environment. The boundary conditions describe the jumps in the phase and the amplitude of the Fourier transforms of the Fock vector components as any of its arguments changes the sign. The corresponding Markov evolution equation (the Lindblad equation or the ``master equation'') is derived from the boundary value problem for the Schrödinger equation.
dc.description9 pages, AMSTeX, style file included
dc.identifierhttps://arxiv.org/abs/funct-an/9706006
dc.identifierhttp://arxiv.org/abs/funct-an/9706006
dc.identifierMathematical Notes (Russian Acad. Sci), Vol.61, N4, pp.510-518
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152455
dc.subjectFunctional Analysis
dc.subjectMathematical Physics
dc.titleThe Quantum Stochastic Differential Equation Is Unitarily Equivalent to a Symmetric Boundary Value Problem for the Schrödinger Equation
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