Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

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Author: search.filters.author.Erman, FatihSubject: search.filters.subject.Hamiltonians

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  • Article
    Citation - WoS: 6
    Citation - Scopus: 7
    Existence of Hamiltonians for Some Singular Interactions on Manifolds
    (American Institute of Physics, 2012) Doğan, Çağlar; Erman, Fatih; Turgut, Osman Teoman; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    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.