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

DOI

10.55730/1300-0098.3550

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.

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