Renormalization in Nonrelativistic Quantum Mechanics

dc.creatorAdhikari, Sadhan K.
dc.creatorGhosh, Angsula
dc.date1997-06-26
dc.date.accessioned2026-07-07T10:58:53Z
dc.date.available2026-07-07T10:58:53Z
dc.descriptionThe importance and usefulness of renormalization are emphasized in nonrelativistic quantum mechanics. The momentum space treatment of both two-body bound state and scattering problems involving some potentials singular at the origin exhibits ultraviolet divergence. The use of renormalization techniques in these problems leads to finite converged results for both the exact and perturbative solutions. The renormalization procedure is carried out for the quantum two-body problem in different partial waves for a minimal potential possessing only the threshold behavior and no form factors. The renormalized perturbative and exact solutions for this problem are found to be consistent with each other. The useful role of the renormalization group equations for this problem is also pointed out.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9706193
dc.identifierhttp://arxiv.org/abs/hep-th/9706193
dc.identifierJ.Phys.A30:6553-6564,1997
dc.identifierdoi:10.1088/0305-4470/30/18/029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187263
dc.subjectHigh Energy Physics - Theory
dc.titleRenormalization in Nonrelativistic Quantum Mechanics
dc.typetext

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