Volume 69, Number 5, March 2005
|Page(s)||692 - 698|
|Published online||02 February 2005|
Modification to the pre-factor of the semiclassical propagator
Department of Physics, Wuhan University - Wuhan 430072, PRC
2 Department of Physics and Centre for Nonlinear Studies Hong Kong Baptist University - Hong Kong, PRC
3 Department of Physics, National University of Singapore - 117542 Singapore
Corresponding author: email@example.com
Accepted: 23 December 2004
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 containing unstable classical orbits. This sheds light on applying the semiclassical propagator to high-dimensional systems.
PACS: 03.65.Sq – Semiclassical theories and applications / 02.70.-c – Computational techniques / 31.15.Ar – Ab initio calculations
© EDP Sciences, 2005
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