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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.
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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