Exactness in the Path Integral of the Coulomb Potential in One Space Dimension

Simple item page
dc.creatorSakoda, Seiji
dc.date2008-08-12
dc.date2008-11-19
dc.date.accessioned2026-07-07T12:55:09Z
dc.date.available2026-07-07T12:55:09Z
dc.descriptionWe solve time-sliced path integrals of one-dimensional Coulomb system in an exact manner. In formulating path integrals, we make use of the Duru-Kleinert transformation with Fujikawa's gauge theoretical technique. Feynman kernels in the momentum representation both for bound states and scattering states will be obtained with clear pole structure that explains the exactness of the path integral. The path integrals presented here can be, therefore, evaluated exactly by making use of Cauchy's integral theorem.
dc.description15 pages, no figure, to appear in Mod. Phys. Lett. A, added references and typos
dc.identifierhttps://arxiv.org/abs/0808.1600
dc.identifierhttp://arxiv.org/abs/0808.1600
dc.identifierMod.Phys.Lett.A23:3057-3076,2008
dc.identifierdoi:10.1142/S0217732308028491
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224169
dc.subjectHigh Energy Physics - Theory
dc.titleExactness in the Path Integral of the Coulomb Potential in One Space Dimension
dc.typetext

Files

Collections

arXiv