Eigenstates for billiards of arbitrary shapes

@inproceedings{Bulgac2008EigenstatesFB,
  title={Eigenstates for billiards of arbitrary shapes},
  author={Aurel Bulgac and Piotr Magierski},
  year={2008}
}
A new algorithm for determining the eigenstates of n–dimensional billiards is presented. It is based on the application of the Cauchy theorem for the determination of the null space of the boundary overlap matrix. The method is free from the limitations associated with the shape of the billiard and could be applied even for nonconvex geometries where other algorithms face difficulties. Moreover it does not suffer from the existence of eigenvalue degeneracies which is another serious shortcoming… CONTINUE READING

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