English

Uniform semiclassical approximation in quantum statistical mechanics

Statistical Mechanics 2007-05-23 v1 High Energy Physics - Theory Quantum Physics

Abstract

We present a simple method to deal with caustics in the semiclassical approximation to the partition function of a one-dimensional quantum system. The procedure, which makes use of complex trajectories, is applied to the quartic double-well potential.

Keywords

Cite

@article{arxiv.cond-mat/0012414,
  title  = {Uniform semiclassical approximation in quantum statistical mechanics},
  author = {C. A. A. de Carvalho and R. M. Cavalcanti and E. S. Fraga and S. E. Joras},
  journal= {arXiv preprint arXiv:cond-mat/0012414},
  year   = {2007}
}

Comments

5 pages, 1 figure, Latex. Contribution to the Proceedings of the XXI Brazilian National Meeting on Particles and Fields (Sao Lourenco, October 23-27, 2000)