This article is cited in 1 paper

The Stochastic Baker–Hausdorff Formula and Its Applications to Quantum Relaxation Processes

A. M. Sinev

N. E. Bauman Moscow State Technical University

Abstract: In this paper, we consider the stochastic analog of the Baker–Hausdorff formula for operators satisfying the canonical commutation relations. This formula can be used to obtain an exact solution to the problem of the dynamics of a quantum system interacting with the environment.

Keywords: stochastic Baker–Hausdorff formula, quantum relaxation process, Ito formula, diffusion process, Wiener process, Riccati equation, Radon–Nikodym derivative.

UDC: 517.958

Received: 14.05.2008

DOI: 10.4213/mzm5542

 English version: Mathematical Notes, 2008, 84:3, 367–378

Bibliographic databases:

• 
• 
• 
•