On the Number of Bound States of Point Interactions on Hyperbolic Manifolds
| dc.contributor.author | Erman, Fatih | |
| dc.coverage.doi | 10.1142/S0219887817500116 | |
| dc.date.accessioned | 2017-10-02T13:22:50Z | |
| dc.date.available | 2017-10-02T13:22:50Z | |
| dc.date.issued | 2017 | |
| dc.description.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. | en_US |
| dc.identifier.citation | 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 | en_US |
| dc.identifier.doi | 10.1142/S0219887817500116 | |
| dc.identifier.doi | 10.1142/S0219887817500116 | en_US |
| dc.identifier.issn | 0219-8878 | |
| dc.identifier.issn | 1793-6977 | |
| dc.identifier.scopus | 2-s2.0-84990188664 | |
| dc.identifier.uri | http://doi.org/10.1142/S0219887817500116 | |
| dc.identifier.uri | https://hdl.handle.net/11147/6293 | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publishing Co. Pte Ltd | en_US |
| dc.relation.ispartof | International Journal of Geometric Methods in Modern Physics | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Heat kernel | en_US |
| dc.subject | Number of bound states | en_US |
| dc.subject | Point interactions | en_US |
| dc.subject | Resolvent | en_US |
| dc.subject | Riemannian manifolds | en_US |
| dc.title | On the Number of Bound States of Point Interactions on Hyperbolic Manifolds | en_US |
| dc.type | Article | en_US |
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| gdc.author.institutional | Erman, Fatih | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 14 | en_US |
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| gdc.oaire.keywords | Riemannian manifolds | |
| gdc.oaire.keywords | Number of bound states | |
| gdc.oaire.keywords | FOS: Physical sciences | |
| gdc.oaire.keywords | Point interactions | |
| gdc.oaire.keywords | Mathematical Physics (math-ph) | |
| gdc.oaire.keywords | Resolvent | |
| gdc.oaire.keywords | Mathematical Physics | |
| gdc.oaire.keywords | Heat kernel | |
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