Improved semiclassical density matrix: taming caustics
量子物理
2009-11-07 v2 统计力学
高能物理 - 唯象学
高能物理 - 理论
摘要
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.
引用
@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}
}
备注
20 pages, 7 figures. Revised version, accepted for publication in Phys. Rev. E