Wigner or non-wigner: That is the question
It is shown that, contrary to a common belief, statistical spectral properties of systems that exhibit classically chaotic behaviour may not obey the statistics typical for Random Matrix Theory. In particular, the nearest neighbor statistics for hydrogen atom in a strong static magnetic field does not obey the usual Wigner distribution. A simple model using a set of regular states coupled to a set of chaotic states modeled by a random matrix reproduces correctly the observed distributions both in the bound regime and for resonances above the ionization threshold.
KeywordsRandom Matrix Rydberg State Random Matrix Theory Semiclassical Limit Wigner Distribution
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