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A new model of the Calogero type

Abstract : We propose a new integrable Hamiltonian describing two interacting particles in a harmonic mean field in D = 1 dimensional space. This model is found to be both supersymmetric and shape invariant. We show that for a given domain of the coupling constant the irregular solution is acceptable and contributes to the spectrum. We also discuss two inequalities of the Bertlmann–Martin type, which link the ground state mean-square radius to the lowest excitation energy.
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Contributor : Dominique Girod Connect in order to contact the contributor
Submitted on : Tuesday, July 25, 2006 - 9:07:50 AM
Last modification on : Wednesday, September 16, 2020 - 4:08:31 PM

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A. Diaf, A.T. Kerris, M. Lassaut, R.J. Lombard. A new model of the Calogero type. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2006, 39, pp.7305-7312. ⟨10.1088/0305-4470/39/23/009⟩. ⟨in2p3-00087494⟩



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