Phys. Rev. E 65, 067103 (2002) [4 pages]Shnirelman peak in level spacing statistics of Calogero-like three-body problemReceived 18 January 2002; published 14 June 2002 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. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.65.067103
DOI:
10.1103/PhysRevE.65.067103
PACS:
05.30.-d, 03.65.-w
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