Green function of Quantum Liouville Problem via Exact Summation of perturbation series

  • Mosbah DIFALLAH Laboratoire LABTHOP, Faculté des Sciences et Technologie, Université d'El Oued, El-Oued 39000 (Algérie)
  • Mohammed Tayeb MEFTAH Laboratoire LRPPS, Faculté des Mathématiques et des Sciences de la Matière, Université Kasdi Merbah Ouargla, Ouargla 30000 (Algérie)
Keywords: Liouville problem, perturbation series, Fourier transform, Green function

Abstract

The path integral treatment of the Quantum Liouville Problem based on exact summation of the Feynman perturbation series is presented in its original form. Using Fourier transform on the end point, we have established a recurrence equation between successive terms of the perturbation series. This leads us to sum up exactly all the terms and deduce the Green function of the problem.

Published
2013-10-13
How to Cite
DIFALLAH, M., & MEFTAH, M. T. (2013). Green function of Quantum Liouville Problem via Exact Summation of perturbation series. Annals of Science and Technology, 5(2), 6. Retrieved from https://journals.univ-ouargla.dz/index.php/AST/article/view/867
Issue
Vol 5 No 2 (2013): volume 5 numéro 2 2013
Section
Articles