Feynman Perturbation Series for the Morse Potential

Boudjedaa Badredine; Meftah Mohamed Tayeb; Chetouani Lyazid

doi:10.4236/jmp.2014.55028

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Journal of Modern Physics > Vol.5 No.5, March 2014

Feynman Perturbation Series for the Morse Potential ()

Boudjedaa Badredine, Meftah Mohamed Tayeb, Chetouani Lyazid

1Département de Mathématiques, Faculté des Sciences exactes et Informatique, Université Med Saddik Ben Yahia, Jijel, Algérie 2Laboratoire de Mathématiques Appliquées, Université Kasdi Merbah. Ouargla, Algérie.
Département de Physique, Faculté des Sciences et des Sciences de l’Ingénieur, Laboratoire LRPPS Université Kasdi Merbah, Ouargla, Algérie.
Département de Physique, Université de Constantine I, Constantine, Algérie.

DOI: 10.4236/jmp.2014.55028 PDF HTML XML 3,708 Downloads 5,498 Views

Abstract

In this paper we give an alternative treatment of the Schrodinger equation with the Morse potential, which based on the exact summation of the Feynman perturbation series in its original form. Using Fourier transform we establish a recurrence equation between terms of the perturbation series. Finally, by the inverse Fourier transform and some technical tools of the ordinary differential equations of the second order, we can compute the exact sum of the perturbation series which is the Green’s function of the problem.

Keywords

Morse Potential; Green’s Function; Propagator; Path Integral; Perturbation Series; Fourier Transform

Share and Cite:

Badredine, B. , Tayeb, M. and Lyazid, C. (2014) Feynman Perturbation Series for the Morse Potential. Journal of Modern Physics, 5, 177-185. doi: 10.4236/jmp.2014.55028.

Conflicts of Interest

The authors declare no conflicts of interest.

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