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arxiv: math-ph/0703028 · v2 · pith:2725AMZUnew · submitted 2007-03-08 · 🧮 math-ph · math.AP· math.CA· math.CV· math.MP

Complex Zeros of Eigenfunctions of 1D Schr\"odinger Operators

classification 🧮 math-ph math.APmath.CAmath.CVmath.MP
keywords complexeigenfunctionsodingeroperatorsschrzerosarticleclass
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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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