The finite difference boundary value method for obtaining eigenvalues and eigenfunctions of the one-dimensional Schroedinger equation is discussed. The method is noniterative and may be applied to one-dimensional problems on (- ∞, ∞) or to the radial equation on (0, ∞). A computer program which computes the eigenvalues and any desired matrix elements involving the eigenfunctions is available from Quantum Chemistry Program Exchange.
Bibliographical noteFunding Information:
The author is grateful to Dr. Nicholas W. Winter for much very helpful advice and to the refereef or helpful commentso n the manuscript.T his work was supportedi n part by the National Science Foundation, under grant number GP-28684.