The bound state Aharonov-Bohm effect around a cosmic string revisited

TL;DR

This paper explores a gravitational analogue of the bound state Aharonov-Bohm effect caused by the self-adjoint extension of the Hamiltonian for a particle around a cosmic string, revealing new quantum phenomena in curved spacetime.

Contribution

It demonstrates how the self-adjoint extension leads to a bound state Aharonov-Bohm effect in a gravitational context, revisiting and extending previous quantum effects around cosmic strings.

Findings

Identification of a gravitational bound state Aharonov-Bohm effect

Connection between self-adjoint Hamiltonian extension and quantum bound states

Revisiting quantum effects in curved spacetime around cosmic strings

Abstract

In this article we observe that the self-adjoint extension of the Hamiltonian of a particle moving around a shielded cosmic string gives rise to a gravitational analogue of the bound state Aharonov-Bohm effect.