Complex Zeros of Eigenfunctions of 1D Schr\"odinger Operators
Mathematical Physics
2011-09-06 v2 Analysis of PDEs
Classical Analysis and ODEs
Complex Variables
math.MP
Abstract
In this article we study the semi-classical distribution of complex zeros of the eigenfunctions of the 1D Schr\"odinger operators for the class of polynomial potentials of even degree, when an energy level E is fixed.
Keywords
Cite
@article{arxiv.math-ph/0703028,
title = {Complex Zeros of Eigenfunctions of 1D Schr\"odinger Operators},
author = {Hamid Hezari},
journal= {arXiv preprint arXiv:math-ph/0703028},
year = {2011}
}
Comments
17 pages, 5 figures