Transmission eigenvalues problem of a Schrödinger equation

Authors

EMEL YILDIRIMFollow
ELGIZ BAIRAMOVFollow

Author ORCID Identifier

EMEL YILDIRIM: 0000-0002-9894-2113

ELGIZ BAIRAMOV: 0000-0003-2075-5016

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 investigation of their properties. The conclusions has been verified for special case of the problem.

DOI

10.55730/1300-0098.3550

Keywords

Spectral theory, transmission condition, eigenvalues, Schrödinger equation

First Page

930

Last Page

940

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

YILDIRIM, EMEL and BAIRAMOV, ELGIZ (2024) "Transmission eigenvalues problem of a Schrödinger equation," Turkish Journal of Mathematics: Vol. 48: No. 5, Article 9. https://doi.org/10.55730/1300-0098.3550
Available at: https://journals.tubitak.gov.tr/math/vol48/iss5/9