The Bounds for the Length Between Dirichlet and the Semi-Periodic Eigenvalues of Hill’s Equation with Symmetric Single Well Potential

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Başkaya E.

4 th INTERNATIONAL CONFERENCE ON MATHEMATICS “An Istanbul Meeting for World Mathematicians” 27-30 October 2020, Istanbul, Turkey This conference is dedicated to 67th birthday of Prof. M. Mursaleen, 27 - 30 October 2020, pp.532-538

• Publication Type: Conference Paper / Full Text
• Page Numbers: pp.532-538
• Karadeniz Technical University Affiliated: Yes

Abstract

In this paper, the length between Dirichlet and the semi-periodic eigenvalues is estimated for Hill’s equation with continuous and periodic potential. The potential is also symmetric to the midpoint and nonincreasing on the first half of the related interval. This function is known as symmetric single well potential in quantum mechanics.