Quasi exactly solvable extension of Calogero model associated with exceptional orthogonal polynomials

Authors

B. Basu-Mallick, Saha Institute of Nuclear Physics
Bhabani Prasad Mandal, Banaras Hindu University
Pinaki Roy, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Annals of Physics

Abstract

By using the technique of supersymmetric quantum mechanics, we study a quasi exactly solvable extension of the N-particle rational Calogero model with harmonic confining interaction. Such quasi exactly solvable many particle system, whose effective potential in the radial direction yields a supersymmetric partner of the radial harmonic oscillator, is constructed by including new long-range interactions to the rational Calogero model. An infinite number of bound state energy levels are obtained for this system under certain conditions. We also calculate the corresponding bound state wave functions in terms of the recently discovered exceptional orthogonal Laguerre polynomials.

First Page

206

Last Page

212

DOI

10.1016/j.aop.2017.03.019

Publication Date

5-1-2017

Comments

Open Access, Green

Recommended Citation

Basu-Mallick, B.; Mandal, Bhabani Prasad; and Roy, Pinaki, "Quasi exactly solvable extension of Calogero model associated with exceptional orthogonal polynomials" (2017). Journal Articles. 2588.
https://digitalcommons.isical.ac.in/journal-articles/2588