2007/11/22 by Marcos Moshinsky, M. Moshińsky, Emerson Sadurni +1 · 2 citations
Physics and Astronomy · #Experimental and Theoretical Physics Studies #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #quant-ph
paper · pdf · doi:10.3842/sigma.2007.110
published as SIGMA 3 (2007), 110, 12 pages · This 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
openalex publication_date 2007/11/22 · arxiv created 2007/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A 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.