Alternative Method for Determining the Feynman Propagator of a Non-Relativistic Quantum Mechanical Problem

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dc.creatorMoshinsky, Marcos
dc.creatorSadurni, Emerson
dc.creatordel Campo, Adolfo
dc.date2007-11-22
dc.date2007-12-06
dc.date.accessioned2026-07-07T09:34:49Z
dc.date.available2026-07-07T09:34:49Z
dc.descriptionA direct procedure for determining the propagator associated with a quantum mechanical problem was given by the Path Integration Procedure of Feynman. The Green function, which is the Fourier Transform with respect to the time variable of the propagator, can be derived later. In our approach, with the help of a Laplace transform, a direct way to get the energy dependent Green function is presented, and the propagator can be obtained later with an inverse Laplace transform. The method is illustrated through simple one dimensional examples and for time independent potentials, though it can be generalized to the derivation of more complicated propagators.
dc.descriptionThis is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ In v2 misprints are corrected
dc.identifierhttps://arxiv.org/abs/0711.3544
dc.identifierhttp://arxiv.org/abs/0711.3544
dc.identifierSIGMA 3 (2007), 110, 12 pages
dc.identifierdoi:10.3842/SIGMA.2007.110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159627
dc.subjectQuantum Physics
dc.titleAlternative Method for Determining the Feynman Propagator of a Non-Relativistic Quantum Mechanical Problem
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