Quantum Singularities Around a Global Monopole

TL;DR

This paper investigates the quantum behavior of a massive scalar particle near a global monopole, emphasizing the role of boundary conditions in defining quantum singularities.

Contribution

It identifies the boundary conditions needed for self-adjointness of the wave operator around a monopole, clarifying their significance for quantum singularity interpretation.

Findings

Boundary conditions for self-adjointness are established.

Quantum singularities depend on boundary conditions.

The analysis clarifies the quantum nature of monopole spacetimes.

Abstract

The behavior of a massive scalar particle on the spacetime surrounding a monopole is studied from a quantum mechanical point of view. All the boundary conditions necessary to turn into self-adjoint the spatial portion of the wave operator are found and their importance to the quantum interpretation of singularities is emphasized.