STOCHASTIC EVOLUTION AS A QUASICLASSICAL LIMIT OF A BOUNDARY VALUE PROBLEM FOR SCHRÖDINGER EQUATIONS

DOI10.1142/S0219025702000717zbMath1057.60058MaRDI QIDQ4818887

Vassili N. Kolokol'tsov, Vyacheslav P. Belavkin

Publication date: 24 September 2004

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

zbMATH Keywords

stochastic equationsboundary value problemsstochastic limitquantum stochastic equationspseudo-Fock spacequantum filtering equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) PDEs in connection with quantum mechanics (35Q40) Quantum stochastic calculus (81S25) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (4)

Dynamic quantum games ⋮ Quantum mean-field games ⋮ The law of large numbers for quantum stochastic filtering and control of many-particle systems ⋮ CTRW modeling of quantum measurement and fractional equations of quantum stochastic filtering and control

Cites Work

• Quantum Ito's formula and stochastic evolutions
• The quantum stochastic equation is unitarily equivalent to a symmetric boundary value problem for the Schrödinger equation
• The Stratonovich interpretation of quantum stochastic approximations
• Constructing quantum measurement processes via classical stochastic calculus
• Factorizable representation of current algebra. Non commutative extension of the Levy-Kinchin formula and cohomology of a solvable group with values in a Hilbert space
• Quantum Stochastic Differential Equation is Unitarily Equivalent to a Symmetric Boundary Value Problem in Fock Space
• Localization and Analytic Properties of the Solutions of the Simplest Quantum Filtering Equation
• Continuous Quantum Measurement: Local and Global Approaches
• Quantum stochastics, Dirac boundary value problem, and the ultrarelativistic limit

This page was built for publication: STOCHASTIC EVOLUTION AS A QUASICLASSICAL LIMIT OF A BOUNDARY VALUE PROBLEM FOR SCHRÖDINGER EQUATIONS