A class of exactly solvable rationally extended Calogero-Wolfes type 3-body problems
Quantum Physics
2019-08-06 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In this work, we start from the well known Calogero-Wolfes type 3-body problems on a line and construct the corresponding exactly solvable rationally extended 3-body potentials. In particular, we obtain the corresponding energy eigenvalues and eigenfunctions which are in terms of the product of Xm Laguerre and Xp Jacobi exceptional orthogonal polynomials where both m,p = 1,2,3,....
Keywords
Cite
@article{arxiv.1703.10161,
title = {A class of exactly solvable rationally extended Calogero-Wolfes type 3-body problems},
author = {Nisha Kumari and Rajesh Kumar Yadav and Avinash Khare and Bhabani Prasad Mandal},
journal= {arXiv preprint arXiv:1703.10161},
year = {2019}
}
Comments
15 pages, 2 tables and No Figs