Effect of Boundary Conditions on Fluctuations Measures
arXiv:chao-dyn/9804012 · doi:10.1103/PhysRevE.57.R3699
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.
revtex, ps figues
References in corpus (7)
- Quantum Chaos, Irreversible Classical Dynamics and Random Matrix Theory
- Spectral Statistics Beyond Random Matrix Theory
- The spectral form factor is not self-averaging
- Spectral Statistics: From Disordered to Chaotic Systems
- Diffractive orbits in quantum billiards
- Periodic Orbits and Spectral Statistics of Pseudointegrable Billiards
- Periodic Orbits in Polygonal Billiards