Modification to the pre-factor of the semiclassical propagator

Details Modification to the pre-factor of the semiclassical propagator Modification to the pre-factor of the semiclassical propagator

2005-03-08

arxiv.org/abs/cond-mat/0503182v1

Europhys. Lett. 69, 692 (2005)

Physics

Condensed Matter

Other Condensed Matter

9 pages, 3 Figures

Scientific paper

We modify the pre-factor of the semiclassical propagator to improve its efficiency in practical implementations. The new pre-factor represents the smooth portion of an orbit's contribution, and leads to fast convergence in numerical calculations. As an illustration of the accuracy and efficiency of the resultant propagator, we numerically calculate overlaps between quantum and semiclassical wave functions, as well as low-lying spectrum density in a 10-dimensional system contains unstable classical orbits. This sheds light on applying semiclassical propagator to high dimensional systems.

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