Improved semiclassical density matrix: taming caustics
Quantum Physics
2009-11-07 v2 Statistical Mechanics
High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
We present a simple method to deal with caustics in the semiclassical approximation to the thermal density matrix of a particle moving on the line. For simplicity, only its diagonal elements are considered. The only ingredient we require is the knowledge of the extrema of the Euclidean action. The procedure makes use of complex trajectories, and is applied to the quartic double-well potential.
Cite
@article{arxiv.quant-ph/0105076,
title = {Improved semiclassical density matrix: taming caustics},
author = {C. A. A. de Carvalho and R. M. Cavalcanti and E. S. Fraga and S. E. Joras},
journal= {arXiv preprint arXiv:quant-ph/0105076},
year = {2009}
}
Comments
20 pages, 7 figures. Revised version, accepted for publication in Phys. Rev. E