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2004-10-20 - Article/Dans un journal avec peer-review - Anglais - 10 page(s)

Brihaye Yves , Nininahazwe A., "On PT symmetric extensions of the Calogero model" in International Journal of Modern Physics A : Particles & Fields, Gravitation, Cosmology, Nuclear Physics, 19, 4391-4400

  • Edition : World Scientific Publishing Company, Singapore (Singapore)
  • Codes CREF : Physique des particules élémentaires (DI1221), Physique théorique et mathématique (DI1210)
  • Unités de recherche UMONS : Physique théorique et mathématique (S814)
Texte intégral :

Abstract(s) :

(Anglais) The original Calogero and Sutherland models describe N quantum particles on the line interacting pairwise through an inverse square and an inverse sinus-square potential. They are well known to be integrable and solvable. Here we extend the Calogero and Sutherland Hamiltonians by means of new interactions which are PT-symmetric but not self adjoint. Some of these new interactions lead to integrable PT-symmetric Hamiltonians; the algebraic properties further reveal that they are solvable as well. We also consider PT-symmetric interactions which lead to a new quasi-exactly solvable deformation of the Calogero and Sutherland Hamiltonians.

Notes :
  • (Anglais) arXiv:hep-th/0311081v2
Identifiants :
  • DOI : 10.1142/S0217751X04019858
  • EPRINT : hep-th/0311081