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math-ph2015
Quantum Ising model in transverse and longitudinal fields: chaotic wave functions
Y. Y. Atas, E. Bogomolny
The construction of a statistical model for eigenfunctions of the Ising model in transverse and longitudinal fields is discussed in detail for the chaotic case. When the number of…
math-ph2012★ 1k cited
The distribution of the ratio of consecutive level spacings in random matrix ensembles
Y. Y. Atas, E. Bogomolny, O. Giraud +1
We derive expressions for the probability distribution of the ratio of two consecutive level spacings for the classical ensembles of random matrices. This ratio distribution was re…