Renormalization of multi-delta-function point scatterers in two and three dimensions, the coincidence-limit problem, and its resolution

DOI10.1016/j.aop.2022.168966zbMath1500.81065arXiv2204.09554OpenAlexW4283068799WikidataQ114209494 ScholiaQ114209494MaRDI QIDQ2159280

Ali Mostafazadeh, Farhang Loran

Publication date: 29 July 2022

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

Full work available at URL: https://arxiv.org/abs/2204.09554

zbMATH Keywords

transfer matrixscatteringrenormalizationLippmann-Schwinger equationpoint scatterer

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) (2)-body potential quantum scattering theory (81U05) Green's functions for elliptic equations (35J08)

Related Items (1)

On a family of finitely many point interaction Hamiltonians free of ultraviolet pathologies

Cites Work

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• Geometric scattering of a scalar particle moving on a curved surface in the presence of point defects
• Regularization methods for delta-function potential in two-dimensional quantum mechanics
• Regularization and renormalization in scattering from Dirac delta potentials
• Finitely many Dirac-delta interactions on Riemannian manifolds
• Lattice discretization in quantum scattering
• Exact solution of the two-dimensional scattering problem for a class of δ-function potentials supported on subsets of a line
• A many-body problem with point interactions on two-dimensional manifolds
• Point interactions in two- and three-dimensional Riemannian manifolds

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