中国物理B ›› 2006, Vol. 15 ›› Issue (5): 919-922.doi: 10.1088/1009-1963/15/5/008

• GENERAL • 上一篇    下一篇

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

杨光参   

  1. School of Physics and Electronic Information, Wenzhou University,Wenzhou 325027, China
  • 收稿日期:2005-09-18 修回日期:2005-11-22 出版日期:2006-05-20 发布日期:2006-05-20

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

Yang Guang-Can (杨光参)   

  1. School of Physics and Electronic Information, Wenzhou University,Wenzhou 325027, China
  • Received:2005-09-18 Revised:2005-11-22 Online:2006-05-20 Published:2006-05-20

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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.

Abstract: 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.

Key words: semiclassical theory, propagator, mixed space

中图分类号:  (Semiclassical theories and applications)

  • 03.65.Sq