混合位置-动量空间的半经典传播子与van Vleck行列式

Semi-classical Propagator and van Vleck Determinant in a Mixed Position-momentum Space

在Maslov的多维半经典理论框架内导出了混合位置-动量空间的半经典传播子.同时也给出了对应的van Vleck行列式.这个方案可用于修正位形空间中半经典传播子的发散,且在不同空间表示的变换中,其形式不变.

A semi-classical propagator in a mixed position-momentum space is derived in the formalism of Maslov＇s multidimensional semi-classical theory. The corresponding mixed van Vleck determinant is also given explicitly. The propagator can be used to locally fix semiclassical divergences in singular regions in configuration space. It is shown that when a semiclassical propagator is transformed from one representation to another, its form is invariant.