Modification to the pre-factor of the semiclassical propagatorQuanlin Jie1, Bambi Hu2 and Baowen Li3
1 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
received 30 September 2004; accepted in final form 23 December 2004
published online 2 February 2005
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.
03.65.Sq - Semiclassical theories and applications.
02.70.-c - Computational techniques.
31.15.Ar - Ab initio calculations.
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