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Название: The Energy Level Spacing for Two Harmonic Oscillators with Generic Ratio of Frequencies
Автор: Bleher P.M.
Аннотация:
The limit distribution of energy level spacing is studied for the system of two harmonic oscillators with generic ratio of frequencies. It is proved that for any fixed generic ratio e no limit distribution exists, but for random e with any absolutely continuous distribution p(e)de on [0, 1] a universal random limit distribution of the energy level spacing exists. Some properties of the random limit distribution are discussed.