hbar expansion for the periodic orbit quantization by harmonic inversion

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.

4 pages, 2 figures, Revtex, revised version submitted to Phys. Rev. E

References in corpus (2)

• Harmonic inversion as a general method for periodic orbit quantization
• On the Accuracy of the Semiclassical Trace Formula

Cited by in corpus (4)

• Quantum wave packet revivals
• Use of Harmonic Inversion Techniques in Semiclassical Quantization and Analysis of Quantum Spectra
• Semiclassical Spectra and Diagonal Matrix Elements by Harmonic Inversion of Cross-Correlated Periodic Orbit Sums
• $\hslash$ corrections in semi-classical formula for smooth chaotic dynamics