Quasiclassical analysis of three-dimensional Schrodinger's equation and its solution

Three-dimensional Schrodinger's equation is analyzed with the help of the c orrespondence principle between classical and quantum-mechanical quantities . Separation is performed after reduction of the original equation to the f orm of the classical Hamilton-Jacobi equation. Each one-dimensional equatio n obtained after separation is solved by the conventional WKB method. Quasi classical solution of the angular equation results in the integral of motio n M-2 = (l + 1/2)(2)(h) over bar(2) and the existence of nontrivial solutio n for the angular quantum number l = 0. Generalization of the WKB method fo r multi-turning-point problems is given. Exact eigenvalues for solvable and some "insoluble" spherically symmetric potentials are obtained. Quasiclass ical eigenfunctions are written in terms of elementary functions in the for m of a standing wave.