Shooting function for 1D Schrodinger operators
Mathematical Physics
2022-06-22 v1 math.MP
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.
Keywords
Cite
@article{arxiv.2205.04070,
title = {Shooting function for 1D Schrodinger operators},
author = {Robert S MacKay},
journal= {arXiv preprint arXiv:2205.04070},
year = {2022}
}