``Classical'' Propagator and Path Integral in the Probability Representation of Quantum Mechanics
Quantum Physics
2007-05-23 v1
Abstract
In the probability representation of the standard quantum mechanics, the explicit expression (and its quasiclassical van-Fleck approximation) for the ``classical'' propagator (transition probability distribution), which completely describes the quantum system's evolution, is found in terms of the quantum propagator. An expression for the ``classical'' propagator in terms of path integral is derived. Examples of free motion and harmonic oscillator are considered. The evolution equation in the Bargmann representation of the optical tomography approach is obtained.
Cite
@article{arxiv.quant-ph/9903002,
title = {``Classical'' Propagator and Path Integral in the Probability Representation of Quantum Mechanics},
author = {Olga Man'ko and V. I. Man'ko},
journal= {arXiv preprint arXiv:quant-ph/9903002},
year = {2007}
}
Comments
LATEX,10 pages,accepted by Journal of Russian Laser Research,1999