Generalized Ellis-Bronnikov graphene wormhole

• URL: http://arxiv.org/abs/2208.06869v1
• Date: Sun, 14 Aug 2022 15:47:05 GMT
• Title: Generalized Ellis-Bronnikov graphene wormhole
• Authors: T. F. de Souza, A. C. A. Ramos, R. N. Costa Filho, J. Furtado
• Abstract summary: 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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