Anomalous Spectral Statistics of the Asymmetric Rotor Model

V. R. Manfredi; L. Salasnich

doi:10.1142/9789812778383_0053

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Anomalous Spectral Statistics of the Asymmetric Rotor Model

V. R. Manfredi·L. Salasnich

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Abstract

We investigate the spectral statistics of the asymmetric rotor model (triaxial rigid rotator). The asymmetric top is classically integrable and, according to the Berry-Tabor theory, its spectral statistics should be Poissonian. Surprisingly, our numerical results show that the nearest neighbor spacing distribution $P(s)$ and the spectral rigidity $Δ_3(L)$ do not follow Poisson statistics.

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V. R. Manfredi, L. Salasnich. 2001-06-20. Anomalous Spectral Statistics of the Asymmetric Rotor Model. https://doi.org/10.1142/9789812778383_0053

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