Black holes and quantum theory on manifolds with singular potentials

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 ${\delta }^{\prime }$ potentials. The advantages of this are pointed out as a model for black hole and in several other examples.

This paper has been withdrawn due to a mistake on the secular equation

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