On the asymptotics of eigenvalues for a Sturm-Liouville problem with symmetric single-well potential

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Başkaya E.

DEMONSTRATIO MATHEMATICA, cilt.57, sa.1, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 57 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1515/dema-2023-0129
  • Dergi Adı: DEMONSTRATIO MATHEMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Linguistic Bibliography, zbMATH, Directory of Open Access Journals
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this article, Sturm-Liouville problem with one boundary condition including an eigenparameter is considered, and the asymptotic expansion of its eigenparameter is calculated. The problem also has a symmetric single-well potential, which is an important function in quantum mechanics.