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.

中文翻译：

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修改半经典传播子的前因子

我们修改了半经典传播器的前置因子以提高其在实际实现中的效率。新的前置因子代表轨道贡献的平滑部分，并导致数值计算的快速收敛。作为合成传播子的准确性和效率的说明，我们数值计算了量子和半经典波函数之间的重叠，以及包含不稳定经典轨道的 10 维系统中的低频谱密度。这为将半经典传播器应用于高维系统提供了启示。