Bound state solutions of square root power law potential--Wavefunction ansatz method on $D$-dimensional Schr\"odinger equation

Abstract

$D$-dimensional Schr\"{o}dinger equation is addressed for square root power law potential. Bound state unnormalized eigenfunctions and the energy eigenvalues are obtained using wave function ansatz method. Some special cases are studied at the end to ensure the correctness of present work.