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Statistical properties of the localization measure of chaotic eigenstates and the spectral statistics in a mixed-type billiard
We study the quantum localization in the chaotic eigenstates of a billiard with mixed-type phase space [J. Phys. A: Math. Gen. 16, 3971 (1983); J. Phys. A: Math. Gen. 17, 1049 (1984)], after separating the regular and chaotic eigenstates, in the regime of slightly distorted circle billiard where the classical …