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This article is cited in 1 scientific paper (total in 1 paper)
Alternative Method for Determining the Feynman Propagator of a Non-Relativistic Quantum Mechanical Problem
Marcos Moshinskya, Emerson Sadurnía, Adolfo del Campob a Instituto de Física Universidad Nacional Autónoma de México, Apartado Postal 20-364, 01000 México D.F., México
b Departamento de Química-Física, Universidad del País Vasco, Apdo. 644, Bilbao, Spain
Abstract:
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.
Keywords:
propagator; Green functions; harmonic oscillator.
Received: August 21, 2007; in final form November 13, 2007; Published online November 22, 2007
Citation:
Marcos Moshinsky, Emerson Sadurní, Adolfo del Campo, “Alternative Method for Determining the Feynman Propagator of a Non-Relativistic Quantum Mechanical Problem”, SIGMA, 3 (2007), 110, 12 pp.
Linking options:
https://www.mathnet.ru/eng/sigma236 https://www.mathnet.ru/eng/sigma/v3/p110
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Abstract page: | 351 | Full-text PDF : | 49 | References: | 28 |
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