Black holes and quantum theory on manifolds with singular potentials

TL;DR

This paper explores quantum theory on manifolds with singular potentials, proposing a model for black holes and other phenomena by introducing delta and delta prime potentials to analyze self-adjoint operators.

Contribution

It introduces a novel approach using singular delta potentials to model black holes within quantum theory on manifolds with boundaries.

Findings

Model for black holes using singular potentials

Advantages of delta potentials in quantum boundary problems

Application to various physical systems

Abstract

Quantum theory on manifolds with boundaries have been studied extensively through von Neumann analysis of self adjoint operators. We approach the issues through introduction of singular $\delta$ and $\delta'$ potentials. The advantages of this are pointed out as a model for black hole and in several other examples.