Transmission eigenvalues problem of a Schrödinger equation

Yildirim E., BAYRAM E.

Turkish Journal of Mathematics, cilt.48, sa.5, ss.930-940, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 5
  • Basım Tarihi: 2024
  • Doi Numarası: 10.55730/1300-0098.3550
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.930-940
  • Anahtar Kelimeler: eigenvalues, Schrödinger equation, Spectral theory, transmission condition
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, transmission eigenvalues of a Schrödinger equation have been studied by constructing a new inner product and using Weyl theory. Necessary conditions for these eigenvalues to be negative, real, and finite have been examined. This method has provided a new framework related to transmission eigenvalue problems and the investigation of their properties. The conclusions have been verified for the special case of the problem.