Feynman Perturbation Series for the Morse Potential

• 作者: Boudjedaa Badredine Chetouani Lyazid Meftah Mohamed Tayeb
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: MORSE Potential Green’s Function PROPAGATOR Path Integral PERTURBATION Series FOURIER TRANSFORM
• 年，卷（期）: 2014,（5）
• 页码范围: 177-185
• 页数: 9页
• 分类号: O1

摘要

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.