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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Atıf İçin Kopyala

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 Ekim 2020, ss.532-538

• Yayın Türü: Bildiri / Tam Metin Bildiri
• Sayfa Sayıları: ss.532-538
• Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

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.