Solutions of the Schrodinger equation with improved Rosen Morse potential for nitrogen molecule and sodium dimer

The one-dimensional Schrodinger 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 X-1 Sigma(+)(g) state of N-2 and 5(1) Delta(g) state of (Na2) molecules respectively. The comparison of the results for the two molecules with the RKR data showed a very good agreement.

Automated summary

In this study, the one-dimensional Schrodinger equation with an improved Rosen Morse potential energy function was investigated using the supersymmetric approach. The ro-vibrational energy equation and the corresponding unnormalized radial wave function were obtained, and the variation of vibrational energy with different parameters was studied graphically. Numerical values were generated for specific molecular states and compared with experimental data, showing a high level of agreement.