Statistical properties of quantum quasidegeneracy in a Calogero-like three-body problem is presented. The hidden continuous symmetry of a Calogero problem is broken by adding a three-body interaction, which results in discrete symmetry. This symmetry is sufficient to get the Shnirelman peak in level spacing statistics. Our calculation immediately implicates the application of Shnirelman theorem in real physical quantum systems.
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| http://dx.doi.org/10.1103/PhysRevE.65.067103 | DOI Listing |
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