Some Exactly Solvable Three-Body Problems in One dimension

Details Some Exactly Solvable Three-Body Problems in One dimension Some Exactly Solvable Three-Body Problems in One dimension

1993-10-16

arxiv.org/abs/hep-th/9310103v1

J.Phys. A27 (1994) 2213-2224

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

10.1088/0305-4470/27/6/041

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.

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