A polynomial type Jost solution and spectrum of the selfadjoint quantum Dirac system

International Conference on Quantum Science and Applications 2016

Coskun, N.^1 ; Yokus, N.^1

Department of Mathematics, Karamanoglu Mehmetbey University, Karaman

70100, Turkey^1

关键词: Asymptotic behaviour;    Difference systems;    Discrete spectrum;    Eigenvalues;    Jost solutions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/766/1/012018/pdf
DOI  :  10.1088/1742-6596/766/1/012018

来源: IOP

【 摘 要 】

This paper is devoted to investigation of a polynomial type Jost solution for the selfadjoint quantum Dirac system. After examination of analytical features and asymptotic behaviour of the Jost solution, continuous and discrete spectrum and some properties of the eigenvalues of the operator L generated by the quantum difference system have been discussed.