Burgers Velocity Fields and the Electromagnetic Forcing in Schroedinger's Interpolating Dynamics
chao-dyn
2008-02-03 v1 Chaotic Dynamics
Quantum Physics
Abstract
We explore a connection of the deterministically forced Burgers equation for local velocity fields with probabilistic solutions of the Schr\"{o}dinger boundary data problem. An issue of deducing the most likely interpolating dynamics from the given initial and terminal probability density data is here investigated to give account of the perturbation by external electromagnetic fields. A suitable extension of the Hopf-Cole logarithmic transformation allows to deal with nonconservative drift fields and implies the validity of appropriately generalised heat equations, which completely determine the dynamics.
Keywords
Cite
@article{arxiv.chao-dyn/9603018,
title = {Burgers Velocity Fields and the Electromagnetic Forcing in Schroedinger's Interpolating Dynamics},
author = {P. Garbaczewski and G. Kondrat and R. Olkiewicz},
journal= {arXiv preprint arXiv:chao-dyn/9603018},
year = {2008}
}
Comments
Latex file, 27 pp