Valleys in Quantum Mechanics

Details Valleys in Quantum Mechanics Valleys in Quantum Mechanics

1997-10-31

arxiv.org/abs/quant-ph/9710064v1

Phys.Lett. B424 (1998) 93-100

Physics

Quantum Physics

13 pages, 4 eps figures, LaTeX, gzipped tar file

Scientific paper

10.1016/S0370-2693(98)00116-6

Conventionally, perturbative and non-perturbative calculations are performed independently. In this paper, valleys in the configuration space in quantum mechanics are investigated as a way to treat them in a unified manner. All the known results of the interplay of them are reproduced naturally. The prescription for separating the non-perturbative contribution from the perturbative is given in terms of the analytic continuation of the valley parameter. Our method is illustrated on a new series of examples with the asymmetric double-well potential. We obtain the non-perturbative part explicitly, which leads to the prediction of the large order behavior of the perturbative series. We calculate the first 200 perturbative coefficients for a wide range of parameters and confirm the agreement with the prediction of the valley method.

Affiliated with

Also associated with

No associations

Rating

Valleys in Quantum Mechanics 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 Valleys in Quantum Mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Valleys in Quantum Mechanics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-591685