Existence of Hamiltonians for some singular interactions on manifolds

DOI10.1063/1.4705291zbMath1275.81072arXiv1111.2168OpenAlexW2007937307MaRDI QIDQ2860728

Fatih Erman, Çağlar Doǧan, O. Teoman Turgut

Publication date: 20 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2168

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantum field theory on curved space or space-time backgrounds (81T20) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (4)

Rank one perturbations supported by hybrid geometries and their deformations ⋮ Nondegeneracy of the ground state for nonrelativistic Lee model ⋮ On the number of bound states of point interactions on hyperbolic manifolds ⋮ Lee model and its resolvent analysis

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Perturbation theory for linear operators.
• Holomorphic operator families and stability of selfadjointness
• A special Stoke's theorem for complete Riemannian manifolds
• Finitely many Dirac-delta interactions on Riemannian manifolds
• Nonrelativistic Lee model in three dimensional Riemannian manifolds
• On the representation of holomorphic functions by integrals
• Renormalized interaction of relativistic bosons with delta function potentials
• The relativistic Lee model on Riemannian manifolds
• Point interactions in two- and three-dimensional Riemannian manifolds
• Some Special Examples in Renormalizable Field Theory
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