Semiclassical propagator and van Vleck determinant in a mixed position-momentum space

• 来源期刊: 中国物理（英文版）
• 关键词: semiclassical theory propagator mixed space
• 年，卷（期）: 2006,（5）
• 页码范围: 919-922
• 页数: 4页
• 语种: 英文

摘要

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