Bound state solutions, Fisher information measures, expectation values, and transmission coefficient of the Varshni potential

The eigensolutions of the Schrodinger equation under the Varshni potential function are studied with two eigensolution techniques such as the Nikiforov- Uvarov and the semi-classical WKB approximation methods. We extended the work to investigate the analytical and numerical Fisher information measure of complexities and also the expectations values using the Hellmann-Feynman theorem. Wedetermined the transmission coefficient using the WKB method. The WKB energy levels andmeanvalues fluctuate with the potential range compared with theNUderived values. Our results for the Fisher information measure obey the uncertainty relation I(rho)I(gamma) >= 36 and the Cramer-Rao inequality for position space (I(rho) < r(2)> >= 9). The mean values conform to the ones reported in existing literature. [GRAPHICS] .