Sharp bound on the largest positive eigenvalue for one-dimensional Schrödinger operators

2017/09/17 by Wencai Liu, Liu, Wencai
Mathematics · Computer Science · #Spectral Theory in Mathematical Physics #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering

paper · pdf · doi:10.48550/arxiv.1709.05611

Abstract

Let H=-D²+V be a Schrödinger operator on L²(ℝ), or on L²(0,∞). Suppose the potential satisfies \limsup_{x→ ∞}|xV(x)|=a

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