Path integral solution for a deformed radial Rosen–Morse potential

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• 作者：A Kadja ; F Benamira ; L Guechi
• 关键词：Rosen–Morse potential ; Green’s function ; Path integral ; Bound states
• 刊名：Indian Journal of Physics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：91
• 期：3
• 页码：259-262
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics, general; Astrophysics and Astroparticles;
• 出版者：Springer India
• ISSN：0974-9845
• 卷排序：91

文摘

An exact path integral treatment of a particle in a deformed radial Rosen–Morse potential is presented. For this problem with the Dirichlet boundary conditions, the Green’s function is constructed in a closed form by adding to \(V_{q}(r)\) a \(\delta\)-function perturbation and making its strength infinitely repulsive. A transcendental equation for the energy levels \(E_{n_{r}}\) and the wave functions of the bound states can then be deduced.