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Degeneracy Moments for the Square Billiard

Connors, R.D.; Keating, J.P.


Keyword(s): level statistics; moments; asymptotics

Abstract: We calculate the semiclassical asymptotics of the moments of a function that characterizes the accidental energy level degeneracies of the square billiard. The results quantify the deviations from generic (Poisson) statistics in this spectrum. Notes: R.D.Connors, School of Mathematics, University of Bristol, Bristol, BS8 1TW, UK

14 Pages

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