We introduce the Dunkl--Klein--Gordon (DKG) equation in 2D by changing standard partial derivatives Dunkl Klein--Gordon (KG) equation. show that generalization with derivative of $z$-component angular momentum is what allows separation variables DKG Then, we compute energy spectrum and eigenfunctions equations for Coulomb potential oscillator analytically from an ${\rm su}(1,1)$ algebraic point...

The class of the free relativistic covariant equations generated by the fractional powers of the D’Alambertian operator ( ) is studied. Meanwhile the equations corresponding to n = 1 and 2 (Klein-Gordon and Dirac equations) are local in their nature, the multicomponent equations for arbitrary n > 2 are non-local. It is shown, how the representation of generalized algebra of Pauli and Dirac matr...