Modelling quantum black hole

Abstract

Novel bound states are obtained for manifolds with singular potentials. These singular potentials require proper boundary conditions across boundaries. The number of bound states match nicely with what we would expect for black holes. Also they serve to model membrane mechanism for the black hole horizons in simpler contexts. The singular potentials can also mimic expanding boundaries elegantly, there by obtaining appropriately tuned radiation rates.

arXiv comment14 pages, 3 figures, to appear in Modern Phys Letts A

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Cited by in corpus (2)

• Effective theories for quantum spin clusters: Geometric phases and state selection by singularity
• Hyperspherical $\delta \text{-}{\delta }^{\prime }$ potentials