Improved semiclassical density matrix: taming caustics

Details Improved semiclassical density matrix: taming caustics Improved semiclassical density matrix: taming caustics

2001-05-16

arxiv.org/abs/quant-ph/0105076v2

Phys.Rev. E65 (2002) 056112

Physics

Quantum Physics

20 pages, 7 figures. Revised version, accepted for publication in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.65.056112

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.

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