Collect. Czech. Chem. Commun. 1998, 63, 1161-1176

Analytical Solutions of the Schrödinger Equation. Ground State Energies and Wave Functions

Jan Dvořák and Lubomír Skála

Faculty of Mathematics and Physics, Charles University, 121 16 Prague 2, Czech Republic


It is shown that there are two generalizations of some well-known analytically solvable problems leading to exact analytical solutions of the Schrödinger equation for the ground state and a few low lying excited states. In this paper, the ground state energies and wave functions are discussed.

Keywords: Schrödinger equation; Analytic solutions; Ground state; Quantum chemistry.