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arXiv · 2208.06869

Generalized Ellis-Bronnikov graphene wormhole

T. F. de Souza·A. C. A. Ramos·R. N. Costa Filho·J. Furtado
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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 $n$ which assumes even values. We discuss the role played by the parameter $n$ and the orbital angular momentum on bound states and probability density for the electron.

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T. F. de Souza, A. C. A. Ramos, R. N. Costa Filho, J. Furtado. 2022-08-14. Generalized Ellis-Bronnikov graphene wormhole. https://doi.org/10.1103/physrevb.106.165426

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