Y. Park et Y. Yoon, EXACTLY SOLVABLE 1 R(2) EXTENDED PAULI-HAMILTONIAN FOR A POINT MAGNETIC VORTEX SYSTEM/, Progress of theoretical physics, 95(2), 1996, pp. 261-271
It has been found that an exactly solvable 1/r(2) extension of the Pau
li-Hamiltonian is possible for a spin-1/2 charged particle interacting
with a point magnetic vortex system. Using the spectrum generating su
persymmetry, all square integrable wave functions of the system have b
een obtained including singular states which are the states almost tra
pped into the point magnetic vortex. We have found how the additional
1/r(2) interaction changes the number of almost trapped states. The sp
ectrum generating supersymmetry is also used to study the case when an
additional external harmonic potential is present in the system.