An alternative derivation of propagator for a linear potential

B. Bassetti, E. Montaldi, Mario Raciti

Nicola Cufaro Petroni, Ph. Gueret, A. Kypriakidis +1 more

L. Moriconi

ALVARO DE SOUZA DUTRA, Antonio S. de Castro

An alternative method to calculate propagators that can be applied in a simple way to polynomial potentials is presented. The method does not use path integral or eigenfunction techniques, but may require the solution of a non-linear ordinary differential equation. As an illustration the propagators for a particle moving in a homogeneous time-varying field and for the harmonic oscillator are calculated. Other simple cases are suggested.

Surarit Pepore, R Biswas

In this paper, the propagators for a particle moving in a time-dependent linear potential and a free particle with linear damping are calculated by the application of the integrals of the motion of a quantum system. The propagator for a charged harmonic oscillator is derived from the Feynman path integrals and the propagator for a damped harmonic oscillator is evaluated by the Schwinger method. The relation between the integrals of the motion, Feynman path integrals, and Schwinger method are also described.

Albino Hernández-Galeana, J. M. Rivera-Rebolledo, José Luis López-Bonilla +1 more