ISOSPECTRAL INTERACTIONS FOR THREE-BODY PROBLEMS ON THE LINE
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Published:1996-08-30
Issue:26
Volume:11
Page:2129-2138
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ISSN:0217-7323
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Container-title:Modern Physics Letters A
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language:en
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Short-container-title:Mod. Phys. Lett. A
Author:
BERA P.K.1,
PANJA M.M.1,
TALUKDAR B.1
Affiliation:
1. Department of Physics, Visva-Bharati University, Santiniketan 731 235, West Bengal, India
Abstract
The algebraic methods of supersymmetric quantum mechanics are used to construct isospectral Hamiltonians for the three-particle Calogero problem [F. Calogero, J. Math. Phys. 10, 2191 (1969)]. The similarity and points of contrast of the present study with the corresponding two-body problem are discussed. It is found that the family of isospectral interactions is determined essentially by the angular part of the potential in the basic Hamiltonian. A case study is presented to investigate the nature of the individual member in the family.
Publisher
World Scientific Pub Co Pte Lt
Subject
General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics