Path Integral Treatment of Singular Problems and Bound States: Quantum Mechanics

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dc.creatorCamblong, Horacio E.
dc.creatorOrdonez, Carlos R.
dc.date2001-09-03
dc.date2002-01-30
dc.date.accessioned2026-07-07T04:12:19Z
dc.date.available2026-07-07T04:12:19Z
dc.descriptionA path-integral approach for the computation of quantum-mechanical propagators and energy Green's functions is presented. Its effectiveness is demonstrated through its application to singular interactions, with particular emphasis on the inverse square potential--possibly combined with a delta-function interaction. The emergence of these singular potentials as low-energy nonrelativistic limits of quantum field theory is highlighted. Not surprisingly, the analogue of ultraviolet regularization is required for the interpretation of these singular problems.
dc.description32 pages. The paper was significantly expanded and numerous equations were added for the sake of clarity; the main results and conclusions are unchanged
dc.identifierhttps://arxiv.org/abs/hep-th/0109003
dc.identifierhttp://arxiv.org/abs/hep-th/0109003
dc.identifierInt.J.Mod.Phys. A19 (2004) 1413-1440
dc.identifierdoi:10.1142/S0217751X04017926
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50864
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectMathematical Physics
dc.subjectNuclear Theory
dc.subjectQuantum Physics
dc.titlePath Integral Treatment of Singular Problems and Bound States: Quantum Mechanics
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