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A study of new solvable few body problems

Abstract : We study new solvable few body problems consisting of generalizations of the Calogero and the Calogero–Marchioro–Wolfes three-body problems, by introducing non-translationally invariant three-body potentials. After separating the radial and angular variables by appropriate coordinate transformations, we provide eigensolutions of the Schrödinger equation with the corresponding energy spectrum. We found a domain of the coupling constant for which the irregular solutions are square integrable.
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Submitted on : Tuesday, February 3, 2009 - 2:19:27 PM
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A. Bachkhaznadji, M. Lassaut, R.J. Lombard. A study of new solvable few body problems. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2009, 42, pp.065301. ⟨10.1088/1751-8113/42/6/065301⟩. ⟨in2p3-00358364⟩

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