A class of exactly solvable rationally extended Calogero-Wolfes type 3-body problems

作者：Kumari Nisha; Yadav Rajesh Kumar^*; Khare Avinash; Mandal Bhabani Prasad

来源：Annals of Physics, 2017, 385: 57-69.

DOI：10.1016/j.aop.2017.07.022

• Three body system
• Rationally extended potential
• PT symmetric complex system
• Exceptional orthogonal polynomial

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 X-m Laguerre and X-p Jacobi exceptional orthogonal polynomials where both m, p = 1, 2, 3,....

• 出版日期2017-10