Generalized Ellis-Bronnikov graphene wormhole
General Relativity and Quantum Cosmology
2022-08-16 v1 High Energy Physics - Theory
Quantum Physics
Abstract
In this paper, we investigate the spinless stationary Schr\"odinger equation for the electron when it is permanently bound to a generalized Ellis-Bronnikov graphene wormhole-like surface. The curvature gives rise to a geometric potential affecting thus the electronic dynamics. The geometry of the wormhole's shape is controlled by the parameter which assumes even values. We discuss the role played by the parameter and the orbital angular momentum on bound states and probability density for the electron.
Cite
@article{arxiv.2208.06869,
title = {Generalized Ellis-Bronnikov graphene wormhole},
author = {T. F. de Souza and A. C. A. Ramos and R. N. Costa Filho and J. Furtado},
journal= {arXiv preprint arXiv:2208.06869},
year = {2022}
}
Comments
9 pages, 6 figures, two columns