Classical and semiclassical theory for the exchange symmetry of identical particles
- 1 March 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (3) , 805-824
- https://doi.org/10.1088/0305-4470/15/3/019
Abstract
The primitive semiclassical (EBK) theory of bound states is applied to finite non-relativistic systems with a discrete symmetry, particularly systems of identical particles. The symmetry properties of invariant tori are obtained, and illustrated for simple models with a pair of identical particles, each with one freedom. Examples without and with interaction between the particles, and with vibration and rotation are all considered. Particular care has to be taken with interacting particles that rotate around a ring.Keywords
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