Some Exactly Solvable Three-Body Problems in One dimension
High Energy Physics - Theory
2009-10-22 v1
Abstract
The three-body problem in one-dimension with a repulsive inverse square potential between every pair was solved by Calogero. Here, the known results of supersymmetric quantum mechanics are used to propose a number of new three-body potentials which can be solved algebraically. Analytic expressions for the eigenspectrum and the eigenfunctions are given with and without confinement.
Cite
@article{arxiv.hep-th/9310103,
title = {Some Exactly Solvable Three-Body Problems in One dimension},
author = {Avinash Khare and Rajat K. Bhaduri},
journal= {arXiv preprint arXiv:hep-th/9310103},
year = {2009}
}
Comments
16 pages