Shooting function for 1D Schrodinger operators

Abstract

For Schrodinger operators with suitable 1D potentials, focussing particularly on those that go to infinity at infinity, a characteristic function is constructed, via shooting functions. It is proved to be entire and its zeroes to be the eigenvalues.

References in corpus (2)

• Functional determinants by contour integration methods
• Functional determinants for general Sturm-Liouville problems