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Title: | Existence of Hamiltonians for some singular interactions on manifolds | Authors: | Doğan, Çağlar Erman, Fatih Turgut, Osman Teoman |
Keywords: | Hamiltonians Riemannian manifolds |
Issue Date: | Apr-2012 | Publisher: | American Institute of Physics | Source: | Doğan, Ç, Erman, F. and Turgut, O. T. (2012). Existence of Hamiltonians for some singular interactions on manifolds. Journal of Mathematical Physics, 53(4). doi:10.1063/1.4705291 | Abstract: | The existence of the Hamiltonians of the renormalized point interactions in two and three dimensional Riemannian manifolds and that of a relativistic extension of this model in two dimensions are proven. Although it is much more difficult, the proof of existence of the Hamiltonian for the renormalized resolvent for the non-relativistic Lee model can still be given. To accomplish these results directly from the resolvent formula, we employ some basic tools from the semigroup theory. | URI: | http://dx.doi.org/10.1063/1.4705291 http://hdl.handle.net/11147/5264 |
ISSN: | 0022-2488 |
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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