[en] We consider the many-particle Hamiltonian of Lipkin, Meshkov and Glick in the context of deformed algebras. The reducibility of the original model is proved according to the representations of these polynomial algebras. The LMG spectrum is recovered in such a way as well as supplementary eigenvalues associated to deformed LMG models.
Disciplines :
Physics Mathematics
Author, co-author :
Debergh, N.
Stancu, Floarea ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Département d'astrophys., géophysique et océanographie (AGO)
Language :
English
Title :
The Lipkin-Meshkov-Glick Model and its Deformations through Polynomial Algebras
Publication date :
2001
Event name :
4th International Conference on Symmetry in Nonlinear Mathematical Physics
Event organizer :
A.G.Nikitin, V.M. Boyko, R.O.Popovych
Event place :
Kiev, Ukraine
Event date :
July 9-15, 2001
Audience :
International
Main work title :
Proceedings of Institute of Mathematics of NAS of Ukraine
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