A statistical method for determining the lowest eigenvalue of Schrodinger's equation
Mark Kac, Michael Cohen · 1952
The experiments discussed here are a continuation of those reported by Donsker and Kac in [2], Atomic potentials, mainly that of hydrogen, are dealt with here.Improved techniques for accumulating and treating the data are presented; coupled with a high speed digital computer, these techniques should make possible the rapid determination, to within a few percent, of the lowest eigenvalue of many potentials# Considerable attention is given to the errors in the method, and an elementary account of the underlying theory is included.II.HEURISTIC OUTLINE OF THE THEORT With the introduction of an imaginary time variable, the time-depen- dent Schrodinger equation for a single particle in a one-dimensional The preparation of this paper was sponsored (in part) by the Office of Naval Research.