On the path integration for the potential barrier $V_{0}\cosh ^{-2}(ωx)$

Details On the path integration for the potential barrier $V_{0}\cosh ^{-2}(ωx)$ On the path integration for the potential barrier $V_{0}\cosh ^{-2}(ωx)$

2003-02-02

arxiv.org/abs/quant-ph/0302009v1

Il Nuovo Cimento 115 B (2000) 123

Physics

Quantum Physics

18 pages

Scientific paper

The propagator associated to the potential barrier $V=V_{0}\cosh ^{-2}(\omega x)$ is obtained by solving path integrals. The method of delta functionals based on canonical and other transformations is used to reduce the path integral for this potential into a path integral for the Morse potential problem. The dimensional extension technique is seen to be essential for performing the multiple integral representation of the propagator. The correctly normalized scattering wave functions and the scattering function are derived. To test the method employed, the free particle and the $\delta -$function barrier are considered as limiting cases.

Affiliated with

Also associated with

No associations

Rating

On the path integration for the potential barrier $V_{0}\cosh ^{-2}(ωx)$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the path integration for the potential barrier $V_{0}\cosh ^{-2}(ωx)$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the path integration for the potential barrier $V_{0}\cosh ^{-2}(ωx)$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-164305