• A new computation scheme for triangular quantum billiards

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    • Keywords


      Quantum billiards; spectral statistics; pseudointegrable systems, quantum chaos; eigenvalues computation

    • Abstract


      A new scheme for computing the eigenvalues and eigenstates of the Laplacian with Dirichlet boundary conditions on arbitrary triangular domains is presented. Its reliability is tested by comparing numerical results with analytical ones whenever possible. The computation of eigenvalues shows a good agreement with analytical results. The procedure is shown to give accurate results also in the case of eigenfunctions computation. Finally, the sensitivity of our scheme to the geometry of the domain is discussed and the algorithm is shown to detect small changes in the shape of the domain.

    • Author Affiliations


      Paolo Bellomo1

      1. School of Physics, Georgia Institute of Technology, Atlanta, Georgia - 30332-0430, USA
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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