On PT-symmetric extensions of the Calogero and Sutherland models

Y. Brihaye; Ancilla Nininahazwe

doi:10.1142/s0217751x04019858

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arXiv · hep-th/0311081

On PT-symmetric extensions of the Calogero and Sutherland models

Y. Brihaye·Ancilla Nininahazwe

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Abstract

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.

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Y. Brihaye, Ancilla Nininahazwe. 2003-12-04. On PT-symmetric extensions of the Calogero and Sutherland models. https://doi.org/10.1142/s0217751x04019858

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