J. Dvorak et L. Skala, ANALYTICAL SOLUTIONS OF THE SCHRODINGER-EQUATION - GROUND-STATE ENERGIES AND WAVE-FUNCTIONS, Collection of Czechoslovak Chemical Communications, 63(8), 1998, pp. 1161-1176
It is shown that there ale two generalizations of some well-known anal
ytically solvable problems leading to exact analytical solutions of th
e Schrodinger equation for the ground state and a few low lying excite
d states. In this paper, the ground state energies and wave functions
are discussed.