Regularization and renormalization in scattering from Dirac delta potentials

DOI10.1119/1.19051zbMath1219.81232OpenAlexW1995988553MaRDI QIDQ3088762

Ananda Dasgupta, Indrajit Mitra, Binayak Dutta Roy

Publication date: 19 August 2011

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

Full work available at URL: https://doi.org/10.1119/1.19051

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) (2)-body potential quantum scattering theory (81U05)

Related Items (11)

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 ⋮ Multiple scattering of elastic waves by pinned dislocation segments in a continuum ⋮ Renormalization of Dirac Delta Potentials Through Minimal Extension of Heisenberg Algebra ⋮ Differential representation of the delta function in two-dimensional quantum mechanics ⋮ Transmission coefficient of interacting few-body system in one dimensional space ⋮ Long-lived resonances supported by a contact interaction in crossed magnetic and electric fields ⋮ Dimensional transmutation and dimensional regularization in quantum mechanics. II: Rotational invariance ⋮ Scattering by a collection of \(\delta\)-function point and parallel line defects in two dimensions ⋮ Geometric scattering of a scalar particle moving on a curved surface in the presence of point defects ⋮ Renormalized interaction of relativistic bosons with delta function potentials

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