Semiclassical Quantization by Pade Approximant to Periodic Orbit Sums

Details Semiclassical Quantization by Pade Approximant to Periodic Orbit Sums Semiclassical Quantization by Pade Approximant to Periodic Orbit Sums

1999-09-06

arxiv.org/abs/chao-dyn/9909008v1

Europhys. Lett. 48 (1999) 250

Nonlinear Sciences

Chaotic Dynamics

7 pages, 3 figures, submitted to Europhys. Lett

Scientific paper

10.1209/epl/i1999-00473-7

Periodic orbit quantization requires an analytic continuation of non-convergent semiclassical trace formulae. We propose a method for semiclassical quantization based upon the Pade approximant to the periodic orbit sums. The Pade approximant allows the re-summation of the typically exponentially divergent periodic orbit terms. The technique does not depend on the existence of a symbolic dynamics and can be applied to both bound and open systems. Numerical results are presented for two different systems with chaotic and regular classical dynamics, viz. the three-disk scattering system and the circle billiard.

Affiliated with

Also associated with

No associations

Rating

Semiclassical Quantization by Pade Approximant to Periodic Orbit Sums 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 Semiclassical Quantization by Pade Approximant to Periodic Orbit Sums, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semiclassical Quantization by Pade Approximant to Periodic Orbit Sums will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-584162