Spectral Statistics of Irrational Polygonal Billiards
Keywords:
Quantum Chaos, Green function, Helmholtz equation, Polygonal Billiards, Nearest neighbour spacing distributionAbstract
We investigate some statistical features of the spectrum related to the dynamical nature of the trajectories such as the fluctuation and the spacing between neighboring energy levels for polygonal billiard with some angles being irrational multiples of p.This addresses the effect of the polygonal geometry on the computed spectrum. .
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