Anomalous Spectral Statistics of the Asymmetric Rotor Model

V. R. Manfredi; L. Salasnich

doi:10.1142/9789812778383_0053

Anomalous Spectral Statistics of the Asymmetric Rotor Model

Nuclear Theory 2017-08-23 v1

Authors: 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 $\Delta_3(L)$ do not follow Poisson statistics.

Keywords

spectral statistics asymmetric rotor model Berry-Tabor theory nearest neighbor spacing spectral rigidity

Cite

@article{arxiv.nucl-th/0106048,
  title  = {Anomalous Spectral Statistics of the Asymmetric Rotor Model},
  author = {V. R. Manfredi and L. Salasnich},
  journal= {arXiv preprint arXiv:nucl-th/0106048},
  year   = {2017}
}

Comments

9 pages, 4 figures, presented to the 7th International Spring Seminar on Nuclear Physics, Maiori, May 27-31 (2001), to be published in the proceedings, Ed. A. Covello (World Scientific, 2002)

Anomalous Spectral Statistics of the Asymmetric Rotor Model

Abstract

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