Schroedinger's interpolation problem and its probabilistic solutions
Quantum Physics
2007-05-23 v1 Condensed Matter
Abstract
Probablistic solutions of the so called Schr\"{o}dinger boundary data problem provide for a unique Markovian interpolation between any two strictly positive probability densities designed to form the input-output statistics data for a certain dynamical process taking place in a finite-time interval. The key problem is to select the jointly continuous in all variables positive semigroup kernel, appropriate for the phenomenological (physical) situation.
Cite
@article{arxiv.quant-ph/9802003,
title = {Schroedinger's interpolation problem and its probabilistic solutions},
author = {P. Garbaczewski},
journal= {arXiv preprint arXiv:quant-ph/9802003},
year = {2007}
}
Comments
Tex file, J. Tch. Phys. 38, 205-209, (1997)