Representations of solutions of Lindblad equations by randomized Feynman formulas

DOI10.1134/S1064562416010257zbMath1341.81036MaRDI QIDQ294342

O. O. Obrezkov, O. G. Smolyanov

Publication date: 16 June 2016

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Quantum stochastic calculus (81S25) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (3)

Relationship between the Itô-Schrödinger and Hudson-Parthasarathy equations ⋮ The Method of Chernoff Approximation ⋮ Chernoff approximation for semigroups generated by killed Feller processes and Feynman formulae for time-fractional Fokker-Planck-Kolmogorov equations

Cites Work

• Solutions of stochastic Schrödinger equations via path integrals
• On the generators of quantum dynamical semigroups
• Schrödinger-Belavkin equations and associated Kolmogorov and Lindblad equations
• Infinite-dimensional stochastic Schrödinger-Belavkin equations
• Continuous Quantum Measurement: Local and Global Approaches
• Hamiltonian Feynman path integrals via the Chernoff formula
• Randomized Hamiltonian Feynman integrals and Schrödinger-Itô stochastic equations
• Unnamed Item

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