Aharonov-Bohm potential via spin weight

Márcio M. Cunha, Fabiano M. Andrade, Edilberto Oliveira Silva

C. R. Hägen

N. Ferkous, Abdelhafid Bounames

The 2D Pauli equation with Hulthén potential for spin-1/2 particle in the presence of Aharonov—Bohm (AB) field is solved analytically, on the assumption that an effective approximation is used for the centrifugal term. Singular and regular solutions of the problem are obtained. It is shown that the AB field lifts the degeneracy of the energy levels. The range of the flux parameter for which singular solutions are allowed is modified compared to the pure AB case. When the screening parameter vanishes, it is shown that the obtained energy spectrum becomes the same as that of the Aharonov—Bohm Coulomb problem.

G. E. Drăgănescu

In this paper we introduce a periodic Aharonov-Bohm potential, produced by two parallel infinite thin layers. The motion of a quantum charged particle without spin, under the action of this Aharonov-Bohm potential is examined. Finally we introduce a periodic Aharonov-Bohm potential, produced by a system of parallel solenoids and the motion of the charged particle in this field is also examined.

Chris Philippidis, David Böhm, R.D. Kaye

C. R. Hägen, S. Ramaswamy

The Aharonov-Bohm scattering of massive spin-one particles is computed. Starting from the relativistic wave equation for a charged, massive spin-one particle, a reduction to two spatial dimensions is made, consistent with the standard Aharonov-Bohm (AB) geometry. It is found that the problem consists of the independent scattering of the three vector-meson spins. While the amplitude for the spin-0 mode is trivially identical to the AB amplitude, the same result is obtained for the spin-up and spin-down components, in sharp contrast to the corresponding result for the spin-1/2 AB amplitude. This can be traced to the fact that the Hamiltonian is unbounded as a consequence of the presence of a \ensuremath{\delta}-function term in the potential. In the Galilean limit it is found that the amplitude of the nonzero-spin components is identical to the spin-1/2 amplitude in that limit, in agreement with a general claim made earlier by one of the authors. The Galilean limit of the spin-one AB cross section is found to be modified and calculations for some pure-state polarizations are presented.