hbar expansion for the periodic orbit quantization by harmonic inversion
chao-dyn
2009-10-31 v2 Chaotic Dynamics
Abstract
Semiclassical spectra beyond the Gutzwiller and Berry-Tabor approximation for chaotic and regular systems, respectively, are obtained by harmonic inversion of the hbar expansion of the periodic orbit signal. The method is illustrated for the circle billiard, where the semiclassical error is reduced by one to several orders of magnitude with respect to the lowest order approximation used previously.
Cite
@article{arxiv.chao-dyn/9804038,
title = {hbar expansion for the periodic orbit quantization by harmonic inversion},
author = {J. Main and K. Weibert and G. Wunner},
journal= {arXiv preprint arXiv:chao-dyn/9804038},
year = {2009}
}
Comments
4 pages, 2 figures, Revtex, revised version submitted to Phys. Rev. E