12 citations · 33 across the 6 of their papers we have counts for
6 papers
Periodic orbit quantization of the closed three-disk billiard as an example of a chaotic system with strong pruning
K. Weibert, J. Main, G. Wunner
Classical chaotic systems with symbolic dynamics but strong pruning present a particular challenge for the application of semiclassical quantization methods. In the present study w…
Deterministic diffusion in one-dimensional maps - Calculation of diffusion constants by harmonic inversion of periodic orbit sums
K. Weibert, J. Main, G. Wunner
A method is proposed for the calculation of diffusion constants for one-dimensional maps exhibiting deterministic diffusion. The procedure is based on harmonic inversion and uses a…
Periodic orbit quantization of chaotic maps by harmonic inversion
K. Weibert, J. Main, G. Wunner
A method for the semiclassical quantization of chaotic maps is proposed, which is based on harmonic inversion. The power of the technique is demonstrated for the baker's map as a p…
Use of Harmonic Inversion Techniques in the Periodic Orbit Quantization of Integrable Systems
K. Weibert, J. Main, G. Wunner
Harmonic inversion has already been proven to be a powerful tool for the analysis of quantum spectra and the periodic orbit orbit quantization of chaotic systems. The harmonic inve…
hbar expansion for the periodic orbit quantization by harmonic inversion
J. Main, K. Weibert, G. Wunner
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…
Semiclassical Spectra and Diagonal Matrix Elements by Harmonic Inversion of Cross-Correlated Periodic Orbit Sums
J. Main, K. Weibert, V. A. Mandelshtam +1
Semiclassical spectra weighted with products of diagonal matrix elements of operators A_{alpha}, i.e., g_{alpha alpha'}(E) = sum_n <n|A_{alpha}|n><n|A_{alpha'}|n>/(E-E_n) are obtai…