Burgers Velocity Fields and the Electromagnetic Forcing in Schroedinger's Interpolating Dynamics
Abstract
We explore a connection of the deterministically forced Burgers equation for local velocity fields with probabilistic solutions of the Schrödinger 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 HopfCole logarithmic transformation allows to deal with nonconservative drift fields and implies the validity of appropriately generalised heat equations, which completely determine the dynamics.
 Publication:

arXiv eprints
 Pub Date:
 April 1996
 arXiv:
 arXiv:chaodyn/9603018
 Bibcode:
 1996chao.dyn..3018G
 Keywords:

 Nonlinear Sciences  Chaotic Dynamics;
 Quantum Physics
 EPrint:
 Latex file, 27 pp