To what systems does the Bohigas conjecture apply?
Quantum Physics
2009-05-13 v1 Nuclear Theory
Abstract
We test the applicability of the Bohigas conjecture to systems whose Hamiltonian is not written as a closed form analytic expression. A class of such Hamiltonians is created and appear to violate the conjecture. Numerical methods are employed to find the spectra of a two-dimensional, classically chaotic "billiard" system whose Hamiltonian is in this class. We find that the spectral fluctuations are not in agreement with the conjecture.
Cite
@article{arxiv.0905.1040,
title = {To what systems does the Bohigas conjecture apply?},
author = {Thomas D. Cohen and Garrett Goon},
journal= {arXiv preprint arXiv:0905.1040},
year = {2009}
}
Comments
10 pages; 4 figures