Complex Zeros of Eigenfunctions of 1D Schrödinger Operators

Details Complex Zeros of Eigenfunctions of 1D Schrödinger Operators Complex Zeros of Eigenfunctions of 1D Schrödinger Operators

2007-03-08

arxiv.org/abs/math-ph/0703028v2

Physics

Mathematical Physics

17 pages, 5 figures

Scientific paper

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.

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