A new model of the Calogero type - IN2P3 - Institut national de physique nucléaire et de physique des particules Access content directly
Journal Articles Journal of Physics A: Mathematical and Theoretical Year : 2006

A new model of the Calogero type

A. Diaf
  • Function : Author
A.T. Kerris
  • Function : Author

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.

Dates and versions

in2p3-00087494 , version 1 (25-07-2006)

Identifiers

Cite

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

Altmetric

Share

Gmail Facebook X LinkedIn More