corner
corner

Phys. Rev. E 65, 067103 (2002) [4 pages]

Shnirelman peak in level spacing statistics of Calogero-like three-body problem

Download: PDF (61 kB) Buy this article Export: BibTeX or EndNote (RIS)

Barnali Chakrabarti1,* and Bambi Hu2
1Department of Physics and Centre for Nonlinear Studies, Hong Kong Baptist University, Hong Kong, China
2Department of Physics and Texas Centre for Superconductivity, University of Houston, Houston, Texas 77204

Received 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

*Email address: barnali@phys.hkbu.edu.hk