No abstract

A new analytical expression for the energy eigenvalues of the Manning-Rosen potential for l-states, based on the path integral formalism, is derived by an improved approximation to the centrifugal term of the potential, in the framework of the Duru-Keinert method. Nonlinear space-time transformations in the radial path integral are applied. A transformation formula is derived that relates the original path integral to the Green function of a new quantum soluble system. The energy spectrum and the normalized eigenfunctions are both obtained for the application of this technique to the Manning-Rosen potential. Our results are in very good agreement with those found by using numerical and other approximation methods. Our solution applies also to the Hulthén potential.

No abstract

No abstract

In this paper, we present analytic solutions of the Feynman propagator with the Rosen–Morse potential. To this end, an approximation of the centrifugal potential for any l state is used and nonlinear space–time transformations in the radial path integral are applied. A transformation formula that relates the original path integral to the Green function of a new quantum soluble system is derived. Explicit expressions of the bound state energy spectra and the eigenfunctions are obtained and compared to those of Schrödinger formalism. The Eckart potential is also treated as a special case.