Lattice discretization in quantum scattering
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Publication:4393761
DOI10.1088/0305-4470/29/22/015zbMath0998.47052arXivhep-th/9707231OpenAlexW3101449182MaRDI QIDQ4393761
R. M. jun. Marinho, Sadhan K. Adhikari, T. Frederico
Publication date: 8 September 2002
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9707231
ultraviolet divergencesdelta function potentiallattice discretenonrelativistic quantum scattering problem
Applications of operator theory in the physical sciences (47N50) (n)-body potential quantum scattering theory (81U10)
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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 ⋮ Lattice Green/Neumann function for the 2D Laplacian operator defined on square lattice on cylinders, tori and other geometries with some applications ⋮ 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
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