The quantum stochastic equation is unitarily equivalent to a symmetric boundary value problem for the Schrödinger equation

DOI10.1007/BF02354995zbMath0919.60093OpenAlexW2124823331MaRDI QIDQ1274028

Alexander M. Chebotarev

Publication date: 31 August 1999

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02354995

zbMATH Keywords

quantum dynamical semigroupquantum noiseopen quantum systemresolvent limit

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Spectrum, resolvent (47A10) Groups and semigroups of linear operators (47D03) Quantum stochastic calculus (81S25)

Related Items (10)

Non-Markovian quantum feedback networks II: Controlled flows ⋮ STOCHASTIC EVOLUTION AS A QUASICLASSICAL LIMIT OF A BOUNDARY VALUE PROBLEM FOR SCHRÖDINGER EQUATIONS ⋮ The Stratonovich formulation of quantum feedback network rules ⋮ Dilations à la Hudson–Parthasarathy of Markov Semigroups in Classical Probability ⋮ The singular coupling limit for a simple pure number process ⋮ Quantum stochastics, Dirac boundary value problem, and the ultrarelativistic limit ⋮ The Hamiltonian Generating Quantum Stochastic Evolutions in the Limit from Repeated to Continuous Interactions ⋮ Bosonic and fermionic white noises and the reflection process ⋮ Characteristic operator functions for quantum input-plant-output models and coherent control ⋮ ON THE HAMILTONIAN OPERATOR ASSOCIATED TO SOME QUANTUM STOCHASTIC DIFFERENTIAL EQUATIONS

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