Some Exactly Solvable Three-Body Problems in One dimension

Preprint

16 October 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9310103

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.

Keywords

DIMENSION THE THREE BODY
SUPERSYMMETRIC QUANTUM
REPULSIVE INVERSE
EXACTLY SOLVABLE
ALGEBRAICALLY
BODY PROBLEM
SOLVABLE
PROBLEMS

All Related Versions

Version 1, 1993-10-16, ArXiv
Published version: Journal of Physics A: General Physics, 27 (6), 2213.

This publication has 0 references indexed in Scilit: