$q$-Multiplicative Dirac System

Abstract

In this study, the classical Dirac equation was investigated on the basis of $q$-multiplicative calculus. We discuss some spectral properties of the $q$-multiplicative Dirac system, such as formally self-adjointness, and orthogonality of eigenfunctions. Finally, Green's function for this system has been reconstructed.

Keywords

• q-multiplicave calculus
• Dirac equation.
• self-adjoint operator

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