Mathematics / Matematik

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  • Article
    Citation - WoS: 4
    Citation - Scopus: 5
    On the Number of Bound States of Point Interactions on Hyperbolic Manifolds
    (World Scientific Publishing Co. Pte Ltd, 2017) Erman, Fatih
    We study the bound state problem for N attractive point Dirac δ-interactions in two- and three-dimensional Riemannian manifolds. We give a sufficient condition for the Hamiltonian to have N bound states and give an explicit criterion for it in hyperbolic manifolds ℍ2 and ℍ3. Furthermore, we study the same spectral problem for a relativistic extension of the model on ℝ2 and ℍ2.