Finitely many Dirac-delta interactions on Riemannian manifolds
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Publication:3441986
DOI10.1063/1.2259581zbMath1112.81079arXivhep-th/0607126OpenAlexW3102764735WikidataQ115333599 ScholiaQ115333599MaRDI QIDQ3441986
Fatih Erman, O. Teoman Turgut, Baris Altunkaynak
Publication date: 16 May 2007
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0607126
Quantum field theory on curved space or space-time backgrounds (81T20) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16)
Related Items (7)
Rank one perturbations supported by hybrid geometries and their deformations ⋮ Singularity-free treatment of delta-function point scatterers in two dimensions and its conceptual implications ⋮ Renormalization of multi-delta-function point scatterers in two and three dimensions, the coincidence-limit problem, and its resolution ⋮ On the number of bound states of point interactions on hyperbolic manifolds ⋮ Renormalized interaction of relativistic bosons with delta function potentials ⋮ Existence of Hamiltonians for some singular interactions on manifolds ⋮ Non-relativistic Lee model in two-dimensional Riemannian manifolds
Cites Work
- On the parabolic kernel of the Schrödinger operator
- Block-matrix generalizations of Schur's basic theorems on Hadamard products
- Théoremes de comparaison en géométrie Riemannienne
- On the Lambert \(w\) function
- Regularization methods for delta-function potential in two-dimensional quantum mechanics
- The Interaction Between a Neutron and a Proton and the Structure of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>
- Green’s-function approach to two- and three-dimensional delta-function potentials and application to the spin-1/2 Aharonov–Bohm problem
- Dimensional transmutation and dimensional regularization in quantum mechanics. II: Rotational invariance
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