Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/6293
Title: On the number of bound states of point interactions on hyperbolic manifolds
Authors: Erman, Fatih
Keywords: Heat kernel
Number of bound states
Point interactions
Resolvent
Riemannian manifolds
Issue Date: Jan-2017
Publisher: World Scientific Publishing Co. Pte Ltd
Source: Erman, F. (2017). On the number of bound states of point interactions on hyperbolic manifolds. International Journal of Geometric Methods in Modern Physics, 14(1). doi:10.1142/S0219887817500116
Abstract: 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.
URI: http://doi.org/10.1142/S0219887817500116
http://hdl.handle.net/11147/6293
ISSN: 0219-8878
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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