Determination of the border between "shallow" and "deep" tunneling regions for Herman-Kluk method by asymptotic approach

Details Determination of the border between "shallow" and "deep" tunneling regions for Herman-Kluk method by asymptotic approach Determination of the border between "shallow" and "deep" tunneling regions for Herman-Kluk method by asymptotic approach

2006-01-20

arxiv.org/abs/quant-ph/0601135v1

Phys. Rev. A 73, 024101 (2006) (4 pages)

Physics

Quantum Physics

To be published in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.73.024101

The evaluation of a tunneling tail by the Herman-Kluk method, which is a quasiclassical way to compute quantum dynamics, is examined by asymptotic analysis. In the shallower part of the tail, as well as in the classically allowed region, it is shown that the leading terms of semiclassical evaluations of quantum theory and the Herman-Kluk formula agree, which is known as an asymptotic equivalence. In the deeper part, it is shown that the asymptotic equivalence breaks down, due to the emergence of unusual "tunneling trajectory", which is an artifact of the Herman-Kluk method.

Affiliated with

Also associated with

No associations

Rating

Determination of the border between "shallow" and "deep" tunneling regions for Herman-Kluk method by asymptotic approach 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 Determination of the border between "shallow" and "deep" tunneling regions for Herman-Kluk method by asymptotic approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Determination of the border between "shallow" and "deep" tunneling regions for Herman-Kluk method by asymptotic approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-9940