Path Integral approach to kinematical browmian motion, due to random canonical transformation
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
The stochastization of the Jacobi second equality of classical mechanics, by Gaussian white noises for the Lagrangian of a particle in an arbitrary field is considered. The quantum mechanical Hamilton operator similar to that in Euclidian quantum theory is obtained. The conditional transition probability density of the presence of a Browmian particle is obtained with the help of the functional integral. The technique of factorisation of the solution of the Fokker-Planck equation is employed to evaluate the effective potential energy.
Keywords
Cite
@article{arxiv.nlin/0604051,
title = {Path Integral approach to kinematical browmian motion, due to random canonical transformation},
author = {M. Tchoffo and A. A. Belinson},
journal= {arXiv preprint arXiv:nlin/0604051},
year = {2007}
}
Comments
13 pages, no figure