Abstract
We study the bound state problem for [Formula: see text] attractive point Dirac [Formula: see text]-interactions in two- and three-dimensional Riemannian manifolds. We give a sufficient condition for the Hamiltonian to have [Formula: see text] bound states and give an explicit criterion for it in hyperbolic manifolds [Formula: see text] and [Formula: see text]. Furthermore, we study the same spectral problem for a relativistic extension of the model on [Formula: see text] and [Formula: see text].
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