TITLE:
Feynman Perturbation Series for the Morse Potential
AUTHORS:
Boudjedaa Badredine, Meftah Mohamed Tayeb, Chetouani Lyazid
KEYWORDS:
Morse Potential; Green’s Function; Propagator; Path Integral; Perturbation Series; Fourier Transform
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.5,
March
24,
2014
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.