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chao-dyn1997★ 17 cited
Universal spectral properties of spatially periodic quantum systems with chaotic classical dynamics
T. Dittrich, B. Mehlig, H. Schanz +1
We consider a quasi one-dimensional chain of N chaotic scattering elements with periodic boundary conditions. The classical dynamics of this system is dominated by diffusion. The q…
chao-dyn1997★ 20 cited
Signature of Chaotic Diffusion in Band Spectra
T. Dittrich, B. Mehlig, H. Schanz +1
We investigate the two-point correlations in the band spectra of spatially periodic systems that exhibit chaotic diffusion in the classical limit. By including level pairs pertaini…
chao-dyn1995★ 35 cited
Quantization of Sinai's Billiard - A Scattering Approach
Holger Schanz, Uzy Smilansky
We obtained the spectrum of the Sinai billiard as the zeroes of a secular equation, which is based on the scattering matrix of a related scattering problem. We show that this quant…