Few-body system of charged fermions in a strong magnetic field

We consider a few-body system of interacting charged fermions in a strong magnetic field. We assume that the charged fermions interact via a Coulomb interaction potential. Additionally, there is a one-particle confining potential term that is superimposed to the two-particle interaction potential. We find out that in the limit of a high magnetic field the behavior of this system resembles that of strongly correlated electronic systems in the quantum Hall regime. Numerical results obtained via diagonalization procedures indicate that the few-body system energy spectrum is quasi-degenerate for a one-particle confining potential resembling a parabolic one.