12 citations · 33 across the 6 of their papers we have counts for
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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…