Eigenstates for billiards of arbitrary shapes

  title={Eigenstates for billiards of arbitrary shapes},
  author={Aurel Bulgac and Piotr Magierski},
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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Publications referenced by this paper.
Showing 1-9 of 9 references

Los Alamos e-print archive nucl-th/9811028

A. Bulgac, S. A. Chin, H. Forbert, P. Magierski, Y. Yu
to appear in Proc. of Collective Excitations in Fermi and Bose Systems, September 14–17 • 1998
View 1 Excerpt


S. D. Frischat, E. Doron
Rev. E 57, 1421 • 1998

The Boundary Element Method in Engineering (McGraw-Hill

P. K. Banerjee
New York, • 1994
View 1 Excerpt


O. Bohigas, D. Boosé
Egydio de Carvallho, and V. Marvulle, Nucl. Phys. A 560, 197 • 1993
View 1 Excerpt


E. Heller
O’Connor, J. Gehlen, Phys. Scr. 40, 354 • 1989
View 1 Excerpt


M. V. Berry, M. Wilkinson
R. Soc. Lond. A 392, 15–43 • 1984
View 3 Excerpts


Y. Niwa, S. Kobayashi
Kitahara, Developments in Boundary Element Methods 2 • 1980
View 1 Excerpt


R. J. Riddell
J. Comp. Phys. 31, 21 (1979) and 31 42 • 1979
View 1 Excerpt

A 27

M. V. Berry, J. Phys
L391 (1994). 12 TABLES TABLE I. Computation time estimates for the annular billiard with δ = 0.25. The contour C has been choosen to enclose the interval • 1030

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