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Generalized Ellis-Bronnikov graphene wormhole

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arxiv 2208.06869 v1 pith:GPHVICNO submitted 2022-08-14 gr-qc hep-thquant-ph

T. F. de Souza , A. C. A. Ramos , R. N. Costa Filho , J. Furtado This is my paper · ORCID
classification gr-qchep-thquant-ph
keywords boundelectronellis-bronnikovgeneralizedgrapheneparameterwormholeaffecting
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Sources of matter for wormholes in a k-essence theory

    gr-qc 2025-12 conditional novelty 4.0 of 10

    For three wormhole spacetimes, the paper constructs the k-essence scalar field, scalar potential, and nonlinear electromagnetic Lagrangian (n=1/2) and shows the null energy condition is violated locally in every model.

  2. Inconsistencies of nonmetric Einstein-Dirac-Maxwell theories and a cure for geometric flows of f(Q) black ellipsoid, toroid and wormhole solutions

    physics.gen-ph 2025-04 reject novelty 4.0 of 10

    The paper formulates nonmetric Einstein-Dirac-Maxwell equations in f(Q) gravity and presents parametric off-diagonal black hole, wormhole, and toroid solutions generated by arbitrary functions, without explicit soluti...

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