Randomized Hamiltonian Feynman integrals and Schroedinger-Ito stochastic equations
Mathematical Physics
2011-08-17 v1 math.MP
Abstract
In this paper, we consider stochastic Schroedinger equations with two-dimensional white noise. Such equations are used to describe the evolution of an open quantum system undergoing a process of continuous measurement. Representations are obtained for solutions of such equations using a generalization to the stochastic case of the classical construction of Feynman path integrals over trajectories in the phase space.
Cite
@article{arxiv.1006.0640,
title = {Randomized Hamiltonian Feynman integrals and Schroedinger-Ito stochastic equations},
author = {J. Gough and O. O. Obrezkov and O. G. Smolyanov},
journal= {arXiv preprint arXiv:1006.0640},
year = {2011}
}
Comments
20 pages