Presenter Information

Xi Chen


Mathematics and Statistics

Research Advisor

Grow, David E.

Advisor's Department

Mathematics and Statistics


A shooting method was developed to study eigenvalue problems derived from Schrodinger equation. The challenging problem, the two-dimensional hydrogen system with the logarithmic potential function, was successfully solved by the shooting method. But no complete proof was given for its rationale and correctness. This paper not only gives the complete proof for the shooting method, but also generalizes it to solve a large class of eigenvalue problems. In a certain sense, the shooting method proves more effective numerically and more powerful theoretically than the classical functional analysis approach.

Document Type


Presentation Date

16 Apr 1992

Included in

Mathematics Commons