The scattering problem for the impulsive dirac systems
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Abstract (EN)
This thesis consists of four parts. The first part is reserved for the introduction. In the second part, some basic concepts used in spectral theory and scattering theory are given. In the third chapter, the problems to be discussed in the thesis are divided into two main headings. In the first part of the third chapter, the problems of impulsive Dirac operatorson half-axis and whole axis are discussed. For these problems, Jost functions are obtained and with the help of these functions, the scattering function of the system for the half axis and the scattering matrix of the system for the whole axis are formed. In addition, scattering properties for both cases are investigated. In the second part of the third chapter, similar problems are examined for the discrete case and detailed properties are obtained. The fourth and final chapter is devoted to discussion and conclusion.
Author
Şeyda Solmaz
How to Cite
Şeyda Solmaz (Doctorate thesis). The scattering problem for the impulsive dirac systems, 2023, Ankara University.
License
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