One‐dimensional q‐Dirac equation |
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| Authors: | Bilender P Allahverdiev Hüseyin Tuna |
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| Institution: | 1. Department of Mathematics, Faculty of Arts and Science, Süleyman Demirel University, Isparta, Turkey;2. Department of Mathematics, Faculty of Arts and Science, Mehmet Akif Ersoy University, Burdur, Turkey |
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| Abstract: | In this paper, we introduce a q‐analog of 1‐dimensional Dirac equation. We investigate the existence and uniqueness of the solution of this equation. Later, we discuss some spectral properties of the problem, such as formally self‐adjointness, the case that the eigenvalues are real, orthogonality of eigenfunctions, Green function, existence of a countable sequence of eigenvalues, and eigenfunctions forming an orthonormal basis of  . Finally, we give some examples. |
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| Keywords: | eigenfunction expansions eigenvalues and eigenfunctions Green matrix q− Dirac operator self‐adjoint operator |
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. Finally, we give some examples.