Complex Zeros of Eigenfunctions of 1D Schrödinger Operators

2007/03/08 by Hamid Hezari, Hezari, Hamid · 2 citations
Mathematics · #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.math-ph/0703028

openalex publication_date 2007/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we study the semi-classical distribution of complex zeros of the eigenfunctions of the 1D Schrödinger operators for the class of polynomial potentials of even degree, when an energy level E is fixed.

Cited by

• Cubic Oscillator: Geometric Approach and Zeros of Eigenfunctions
• Topological expansion of the Bethe ansatz, and quantum algebraic geometry

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