To what systems does the Bohigas conjecture apply?

Details To what systems does the Bohigas conjecture apply? To what systems does the Bohigas conjecture apply?

2009-05-07

arxiv.org/abs/0905.1040v1

Physics

Quantum Physics

10 pages; 4 figures

Scientific paper

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.

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