Abstract
The one-dimensional Schrödinger equation with an improved Rosen Morse potential energy function was studied in view of supersymmetric approach. The ro-vibrational energy equation and the corresponding unnormalized radial wave function were obtained. The variation of the vibrational energy with the screening parameter and the exponential term were studied graphically. Some vibrational expectation values were also calculated. Using the calculated vibrational energy equation, numerical values were generated for X1∑g+ state of N2 and 51Δg state of Na2 molecules respectively. The comparison of the results for the two molecules with the RKR data showed a very good agreement.
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