A model for the computation of quantum billiards with arbitrary shapes

DOI10.1016/J.CAM.2005.07.006zbMath1094.81027OpenAlexW1994518978MaRDI QIDQ2496260

Hasan Taşeli, İnci M. Erhan

Publication date: 12 July 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.07.006

zbMATH Keywords

spherical harmonicsSchrödinger equationBessel functionseigenfunction expansionquantum billiard

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Quantum chaos (81Q50)

Cites Work

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• Quantization of a generic chaotic 3D billiard with smooth boundary. I: Energy level statistics.
• Quantising a generic family of billiards with analytic boundaries
• Energy level statistics in the transition region between integrability and chaos
• Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws

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