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Extending the Four-Body Problem of Wolfes to Non-Translationally Invariant Interactions

Abstract : We propose and solve exactly the Schrödinger equation of a bound quantum system consisting in four particles moving on a real line with both translationally invariant four particles interactions of Wolfes type [1] and additional non translationally invariant four-body potentials. We also generalize and solve exactly this problem in any D-dimensional space by providing full eigensolutions and the corresponding energy spectrum. We discuss the domain of the coupling constant where the irregular solutions becomes physically acceptable.
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Contributor : Sophie Heurteau <>
Submitted on : Wednesday, October 10, 2012 - 11:14:49 AM
Last modification on : Thursday, September 24, 2020 - 11:01:07 AM

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A. Bachkhaznadji, M. Lassaut. Extending the Four-Body Problem of Wolfes to Non-Translationally Invariant Interactions. Few-Body Systems, Springer Verlag, 2013, 54, pp.1945-1956. ⟨10.1007/s00601-013-0696-z⟩. ⟨in2p3-00740435⟩

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