On the Vortex-Point Charge Composite: Classical Orbits and Quantum Bound States
High Energy Physics - Theory
2009-10-30 v1
Abstract
The possibility of composite systems arising out of a point charge interacting with a Nielsen-Olesen vortex in 2+1-dimensions is investigated. It is shown that classical bounded orbits are possible for certain ranges of parameters. Long lived metastable states are shown to exist, in a semi-classical approach, from the study of the effective potential. Loss of self-adjointness of the Hamiltonian and its subsequent self-adjoint extension in some cases leads to bound states.
Cite
@article{arxiv.hep-th/9605078,
title = {On the Vortex-Point Charge Composite: Classical Orbits and Quantum Bound States},
author = {Subir Ghosh},
journal= {arXiv preprint arXiv:hep-th/9605078},
year = {2009}
}
Comments
13 pages, Latex file, For figures e-mail to "[email protected]"