Effect of Boundary Conditions on Fluctuations Measures

Details Effect of Boundary Conditions on Fluctuations Measures Effect of Boundary Conditions on Fluctuations Measures

1998-04-06

arxiv.org/abs/chao-dyn/9804012v1

Phys. Rev. E VOLUME 57, R3699, 1998

Nonlinear Sciences

Chaotic Dynamics

revtex, ps figues

Scientific paper

10.1103/PhysRevE.57.R3699

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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