2019/11/25 by Khodja, A, Kadja, A, Benamira, F +1
#FOS: Physical sciences #Quantum Physics (quant-ph)
paper · doi:10.48550/arxiv.1911.11248
The problem of a Klein-Gordon particle moving in equal vector and scalar Rosen-Morse-type potentials is solved in the framework of Feynman's path integral approach. Explicit path integration leads to a closed form for the radial Green's function associated with different shapes of the potentials. For q≤ -1, and (1)/(2α)ln \vert q\vert 0, it is shown that the quantization conditions for the bound state energy levels E_nr are transcendental equations which can be solved numerically. Three special cases such as the standard radial Manning-Rosen potential (\vert q\vert =1), the standard radial Rosen-Morse potential % (V2→ -V2,q=1) and the radial Eckart potential % (V1→ -V1,q=1) are also briefly discussed.