The stochastic Baker--Hausdorff formula and its applications to quantum relaxation processes

DOI10.1134/S0001434608090071zbMath1167.81026MaRDI QIDQ2518056

A. M. Sinev

Publication date: 12 January 2009

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

zbMATH Keywords

Wiener processdiffusion processRiccati equationItô formulaRadon-Nikodým derivativequantum relaxation processstochastic Baker-Hausdorff formula

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) White noise theory (60H40) Quantum stochastic calculus (81S25) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (1)

Quantum trajectories of an oscillator interacting with an electromagnetic field, a classical force, and a heat bath

Uses Software

• Quantum trajectory

Cites Work

• On the generators of quantum dynamical semigroups
• Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.

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