Feynman Integral Treatment of the Deng-Fan Potential With a Centrifugal Term Approximation
We present a rigorous path integral of a dynamical system in the Deng-Fan potential. To this end, an
approximation of the centrifugal potential for any state is used and nonlinear space-time transformations in the radial path
integral are applied. The exact bound state energy eigenvalues and the corresponding eigenfunctions are obtained for a particle
bound on the various values of the quantum numbers and and compared to those of Schrodinger formalism.
Index Terms—Deng-Fan potential, Space-time transformation, Propagator, Centrifugal potential.