00-05U

The approach for evaluation of energy spectrum and conduction electron's density state has been used. The expressions for {\it E(k)} and {\it N(E)} are obtained and there are more general than those yielded by means of perturbation theory. The results of last approach in form of Brilluen-Wigner and Relay-Shrodinger may be obtained in particular cases. The density state estimation for liquid metals are represented.