Generalized Ellis-Bronnikov graphene wormhole

Abstract

In this paper, we investigate the spinless stationary Schrödinger 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.

Nonassociative Geometric and Quantum Information Flows and R‐Flux Deformations of Wormhole Solutions in String Gravity

“…A number of theoretic constructions and modifications were exploited with the aim of solving this problem; for reviews of results and methods of constructing wormhole solutions, we cite. [31,[75][76][77][78] A series of recent works exploit the idea that wormholes seem to be transversable for qubits. Such innovative ideas, proposals for thought experiments and preliminary experimental data on running experiments on Google's quantum computer are provided in ref.…”

“…We can define usual Ellis-Bronnikov, EB, wormholes for Θ(r) = 0 and when b(r) = 0 b 2 ∕r taken for a zero tidal wormhole with 0 b being the throat radius. The papers [76][77][78] can be considered for details and recent reviews of results on wormhole physics. Here we note that a generalized EB is characterized additionally by even integers 2k (with k = 1, 2, …) and when r(l) = (l 2k + 0 b 2k ) 1∕2k is taken as a proper radial distance coordinate (tortoise) and the cylindrical angular coordinate 𝜙 ∈ [0, 2𝜋) is called parallel.…”

“…Morris and Thorne constructed a static and spherically symmetric wormhole configuration having a traversable throat at the centre. [75] Various classes of wormhole metrics were found in the framework of GR and MGTs [74,77,78] but their existence demands the presence of exotic matter when the null energy condition, NEC, is violated in order to achieve a stable and traversable structure. Due to this fact, many authors excluded them as reliable astrophysical objects.…”