Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-12-17
Class.Quant.Grav. 22 (2005) 1255-1268
Physics
High Energy Physics
High Energy Physics - Theory
Paper accepted for publication in Classical and Quantum Gravity
Scientific paper
10.1088/0264-9381/22/7/004
In this paper we develop the nonrelativistic quantum analysis of the charged particle-dyon system in the spacetime produced by an idealized cosmic string. In order to do that, we assume that the dyon is superposed to the cosmic string. Considering this peculiar configuration {\it conical} monopole harmonics are constructed, which are a generalizations of previous monopole harmonics obtained by Wu and Yang(1976 {\it Nucl. Phys. B} {\bf 107} 365) defined on a conical three-geometry. Bound and scattering wave functions are explicitly derived. As to bound states, we present the energy spectrum of the system, and analyze how the presence of the topological defect modifies obtained result. We also analyze this system admitting the presence of an extra isotropic harmonic potential acting on the particle. We show that the presence of this potential produces significant changes in the energy spectrum of the system.
de Mello Eugenio R. Bezerra
de Oliveira L. Cavalcanti A.
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