Spectral Statistics of the Triaxial Rigid Rotator: Semiclassical Origin of their Pathological Behavior

Details Spectral Statistics of the Triaxial Rigid Rotator: Semiclassical Origin of their Pathological Behavior Spectral Statistics of the Triaxial Rigid Rotator: Semiclassical Origin of their Pathological Behavior

2003-05-09

arxiv.org/abs/cond-mat/0305212v1

Mod. Phys. Lett. 17, 803-812 (2003)

Physics

Condensed Matter

Statistical Mechanics

14 pages with 5 figures, to be published in Int. J. Mod. Phys. B

Scientific paper

10.1142/S0217984903005810

In this paper we investigate the local and global spectral properties of the triaxial rigid rotator. We demonstrate that, for a fixed value of the total angular momentum, the energy spectrum can be divided into two sets of energy levels, whose classical analog are librational and rotational motions. By using diagonalization, semiclassical and algebric methods, we show that the energy levels follow the anomalous spectral statistics of the one-dimensional harmonic oscillator.

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