Effect of Boundary Conditions on Fluctuations Measures

Debabrata Biswas

doi:10.1103/physreve.57.r3699

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Effect of Boundary Conditions on Fluctuations Measures

Debabrata Biswas

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Abstract

A change in boundary conditions (BC) from uniform Dirichlet to non-identical BC on the edges of a triangular billiard often brings about a dramatic change in quantum spectral fluctuations. We provide a theory for this based on periodic orbits and show that non-identical BC on adjacent edges can lead to a quantum splitting of periodic orbit families which results in a significant change in the form factor. Thus, the classical spectrum alone cannot determine quantum correlations.

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Debabrata Biswas. 1998-04-06. Effect of Boundary Conditions on Fluctuations Measures. https://doi.org/10.1103/physreve.57.r3699

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