Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/11147/7148

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  • Article
    Explicit Derivation of the Propagator for a Point Interaction in Three Dimensional Hyperbolic Space
    (Springer/plenum Publishers, 2024) Erman, Fatih
    The explicit expression for the propagator of the Dirac delta potential in three dimensional hyperbolic spaces is derived using the integral transform of the Krein's type of the resolvent formula, obtained after the renormalization procedure.
  • 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.