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arXiv · 1111.2168

Existence of Hamiltonians for Some Singular Interactions on Manifolds

Çağlar Doğan·Fatih Erman·O. Teoman Turgut
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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.

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Çağlar Doğan, Fatih Erman, O. Teoman Turgut. 2011-11-09. Existence of Hamiltonians for Some Singular Interactions on Manifolds. https://doi.org/10.1063/1.4705291

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