Comment on "Models of Intermediate Spectral Statistics"

Abstract

In [1] it was proposed, that the nearest-neighbor distribution $P(s)$ of the spectrum of the Bohr-Mottelson model is similar to the semi-Poisson distribution. We show however, that $P(s)$ of this model differs considerably in many aspects from semi-Poisson. In addition we give an asymptotic formula for $P(s)$ as $s\to 0$, which gives $P^{\prime }(0)=\pi \sqrt{3}/2$ for the slope at $s=0$. This is different not only from the GOE case but also from the semi-Poisson prediction that leads to $P^{\prime }(0)=4$

3 pages, 1 eps-figure

References in corpus (2)

• Level spacings at the metal-insulator transition in the Anderson Hamiltonians and multifractal random matrix ensembles
• Correlations between resonances in a statistical scattering model

Cited by in corpus (3)

• Wigner-Poisson statistics of topological transitions in a Josephson junction
• Spectral Properties of Quantum Circulant Graphs
• Intermediate statistics for a system with symplectic symmetry: the Dirac rose graph