On Exact Estimates of Instability Zones of the Hill's Equation with Locally Integrable Potential

O. A. Veliev

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arXiv · 2311.11568

On Exact Estimates of Instability Zones of the Hill's Equation with Locally Integrable Potential

O. A. Veliev

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Abstract

In this paper we consider the one-dimensional Schrodinger operator L(q) with a periodic real and locally integrable potential q. We study the bands and gaps in the spectrum and explicitly write out the first and second terms of the asymptotic formulas for the length of the gaps in the spectrum.

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O. A. Veliev. 2023-11-20. On Exact Estimates of Instability Zones of the Hill's Equation with Locally Integrable Potential. https://arxiv.org/abs/2311.11568

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