ON THE HAMILTONIAN OPERATOR ASSOCIATED TO SOME QUANTUM STOCHASTIC DIFFERENTIAL EQUATIONS

DOI10.1142/S0219025700000327zbMath1042.81055OpenAlexW1981108885MaRDI QIDQ4761481

Matteo Gregoratti

Publication date: 2000

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025700000327

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear symmetric and selfadjoint operators (unbounded) (47B25) Quantum stochastic calculus (81S25)

Related Items (4)

Dilations à la Hudson–Parthasarathy of Markov Semigroups in Classical Probability ⋮ Traces of Sobolev functions with one square integrable directional derivative ⋮ On the Hamiltonian of a class of quantum stochastic processes ⋮ On the Generator of the Solution of a Quantum Stochastic Differential Equation

Cites Work

• Quantum Ito's formula and stochastic evolutions
• Covariant Markov dilations of quantum dynamical semigroups
• The quantum stochastic equation is unitarily equivalent to a symmetric boundary value problem for the Schrödinger equation
• Symmetric form of the Hudson-Parthasarathy stochastic equation
• On the quantum Feynman-Kac formula
• Quantum Stochastic Differential Equation is Unitarily Equivalent to a Symmetric Boundary Value Problem in Fock Space
• Quantum stochastic processes

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