Quantum Stochastic Differential Equation is Unitarily Equivalent to a Symmetric Boundary Value Problem in Fock Space
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Publication:4213955
DOI10.1142/S0219025798000120zbMath0942.60097arXivquant-ph/9702061OpenAlexW2054180167WikidataQ115245771 ScholiaQ115245771MaRDI QIDQ4213955
Publication date: 27 October 1998
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/9702061
Other physical applications of random processes (60K40) Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25)
Related Items (8)
Quantum Stratonovich calculus and the quantum Wong-Zakai theorem ⋮ STOCHASTIC EVOLUTION AS A QUASICLASSICAL LIMIT OF A BOUNDARY VALUE PROBLEM FOR SCHRÖDINGER EQUATIONS ⋮ Dilations à la Hudson–Parthasarathy of Markov Semigroups in Classical Probability ⋮ The singular coupling limit for a simple pure number process ⋮ The Hamiltonian Generating Quantum Stochastic Evolutions in the Limit from Repeated to Continuous Interactions ⋮ SYMMETRIC DIFFERENTIATION AND HAMILTONIAN OF A QUANTUM STOCHASTIC PROCESS ⋮ Quantum feedback networks: Hamiltonian formulation ⋮ ON THE HAMILTONIAN OPERATOR ASSOCIATED TO SOME QUANTUM STOCHASTIC DIFFERENTIAL EQUATIONS
Cites Work
- Quantum Ito's formula and stochastic evolutions
- The weak coupling limit as a quantum functional central limit
- Structure of Markov cocycles on Fock space
- On the Lindblad equation with unbounded time-dependent coefficients
- Sufficient conditions for conservativity of quantum dynamical semigroups
- Symmetric form of the Hudson-Parthasarathy stochastic equation
- Square Powers of Singularly Perturbed Operators
- Exponential formulae in quantum stochastic calculus
- NOISE AND DISSIPATION IN QUANTUM THEORY
- Quantum stochastic processes
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