Transmission eigenvalues problem of a Schrödinger equation
Turkish Journal of Mathematics, vol.48, no.5, pp.930-940, 2024 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 48 Issue: 5
- Publication Date: 2024
- Doi Number: 10.55730/1300-0098.3550
- Journal Name: Turkish Journal of Mathematics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
- Page Numbers: pp.930-940
- Keywords: eigenvalues, Schrödinger equation, Spectral theory, transmission condition
- Ankara University Affiliated: Yes
Abstract
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.