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Solution of the eigenvalue problem for two-dimensional modulated billiards using a coordinate transformation

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Publication:1776793
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DOI10.1016/j.cnsns.2004.05.001zbMath1067.81045OpenAlexW2076813804MaRDI QIDQ1776793

G. A. Luna-Acosta, R. Aguilar-Sánchez, J. A. Méndez-Bermúdez, Felix M. Izrailev

Publication date: 12 May 2005

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2004.05.001

zbMATH Keywords

Eigenvalue problemTwo-dimensional billiards


Mathematics Subject Classification ID

Quantum chaos (81Q50)


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Effect of quadratic pressure gradient term on a one-dimensional moving boundary problem based on modified Darcy's law, Spectroscopy of drums and quantum billiards: Perturbative and nonperturbative results



Cites Work

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  • Regular and chaotic dynamics.
  • Quantum-classical correspondence for local density of states and eigenfunctions of a chaotic periodic billiard
  • Consolidating boundary methods for finding the eigenstates of billiards
  • Quantum Chaos
  • Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles
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