PERTURBATIVE RENORMALIZATION IN QUANTUM-MECHANICS

Authors
MANUEL C TARRACH R
Citation
C. Manuel et R. Tarrach, PERTURBATIVE RENORMALIZATION IN QUANTUM-MECHANICS, Physics letters. Section B, 328(1-2), 1994, pp. 113-118
Citations number
29
Categorie Soggetti
Physics
Journal title
Physics letters. Section B → ACNP
ISSN journal
03702693
Volume
328
Issue
1-2
Year of publication
1994
Pages
113 - 118
Database
ISI
SICI code
0370-2693(1994)328:1-2<113:PRIQ>2.0.ZU;2-W
Abstract
Some quantum mechanical potentials, singular at short distances, lead to ultraviolet divergences when used in perturbation theory. Exactly a s in quantum field theory, but much simpler, regularization and renorm alization lead to finite physical results, which compare correctly to the ''act ones. The Dirac delta potential, because of its relevance to triviality, and the Aharonov-Bohm potential, because of its relevance to anyons, are used as examples here.