Perturbative Renormalization in Quantum Mechanics

Details Perturbative Renormalization in Quantum Mechanics Perturbative Renormalization in Quantum Mechanics

1993-09-02

arxiv.org/abs/hep-th/9309013v1

Phys.Lett. B328 (1994) 113-118

Physics

High Energy Physics

High Energy Physics - Theory

LATEX, 13 pages, UB-ECM-PF 19-93

Scientific paper

10.1016/0370-2693(94)90437-5

Some quantum mechanical potentials, singular at short distances, lead to ultraviolet divergences when used in perturbation theory. Exactly as in quantum field theories, but much simpler, regularization and renormalization lead to finite physical results, which compare correctly to the exact ones. The Dirac delta potential, because of its relevance to triviality, and the Aharonov-Bohm potential, because ot its relevance to anyons, are used as examples here.

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