Propagadores cuánticos calculados de acuerdo con el postulado de Feynman con caminos aproximados por polinomios

Abstract

In this paper we calculate in detail the quantum mechanical propagator for two physical systems, a two-dimensional free particle and a particle in the Earth's gravitational field, according to Feynman sum-over-paths postulate. The method of propagator calculation that we have used is based on an approximation by polynomials, which is consistent with Weierstrass theorem. The results obtained with this method, except for a numerical factor that depend only on the degree of the polynomials, are equal to those obtained through the use of formal methods.