Method of modeling potentials for Schr$\stackrel{..}{o}$dinger equation

A method of modeling potentials is discussed for constructing the energy spectrum of the Schr$\stackrel{..}{o}$dinger equation in quasiclassical framework. The idea of the method consists in constructing a modeling potential, which is simpler than the original potential not necessarily being locally close to the latter, but with the same global structure of the spectrum.