On quantum traversability of wormholes

Abstract

In this paper we study the possibility of non-relativistic quantum particles to traverse the generalized Ellis-Bronnikov wormholes by considering quantum effects, such as tunneling. We have used the generalized Ellis-Bronnikov wormhole metric and found that for $n=2$ we have a single barrier shaped effective potential centered at the throat of the wormhole for any value of orbital angular momentum. For $n\ne 2$ we have a symmetric double barrier shaped potential when the orbital angular momentum is zero and a single barrier for nonzero angular orbital momentum. Analytical solutions for the Schrödinger equation in the generalized Ellis-Bronnikov spacetime could be found only for $n=2$. Such solutions were given in terms of the confluent Heun functions. Finally, by using a delta-barrier approximation we could find the transmission and reflection coefficients for a non-relativistic particle to traverse the generalized Ellis-Bronnikov wormhole.

arXiv comment5 pages, two columuns, 3 figures

References in corpus (19)

• Phantom energy traversable wormholes
• Wormholes supported by a phantom energy
• Exact traversable wormhole solution in bumblebee gravity
• Casimir Wormholes
• Traversable Wormholes Supported by GUP Corrected Casimir Energy
• Geometry of Spinning Ellis Wormholes
• Post-Newtonian Hamiltonian description of an atom in a weak gravitational field
• Asymptotically Lifshitz wormholes and black holes for Lovelock gravity in vacuum
• Traversable wormhole solution with a background Kalb-Ramond field
• Spinning Wormholes in Scalar-Tensor Theory
• Exact solutions of Brans-Dicke wormholes in the presence of matter
• Electronic properties of bilayer graphene catenoid bridge
• Traversable Casimir Wormholes in D Dimensions
• Generalised Ellis-Bronnikov wormholes embedded in warped braneworld background and energy conditions
• Gravitational bending angle with finite distances by Casimir wormholes
• On the traversability of wormhole solutions in asymptotically safe gravity
• Generalized Ellis-Bronnikov graphene wormhole
• Position-dependent mass effects on a bilayer graphene catenoid bridge
• Generalized Ellis-Bronnikov wormholes in asymptotically safe gravity