Abstarct: Abstract In 1950, Wigner introduced a new algebra baxsed on the transformation and behavior of equations. He found an answer baxsed on Heisenberg's algebra and called it Wigner's algebra. The main characteristic of the Wigner algebra is a parameter called the deformation parameter. Wigner's algebra was completed by Young In all relations introduced by the differential structure, this algebra is replaced by an operator called the Dunkl operator. The Dunkl operator includes the deformation parameter and the parity operator at the same time. When the deformation parameter tends to zero, Dunkl derivative will become the ordinary derivative. He found an answer baxsed on Heisenberg algebra and called it Wigner algebra. The main characteristic of the Wigner algebra is a parameter called the deformation parameter. Wigner algebra was completed by Young. The aim of presenting this treatise is to investigate and analyze the scattering of relativistic and non-relativistic particles in the presence of the Dunkl operator. Also, some familiar problems of classical mechanics will be investigated using the Dunkl operator, and by using them, we will investigate the effect of the Dunkl parameter on the behavior of electromagnetic equations, especially Maxwell equations. On the other hand, we will obtain the equation of continuity as well as the density of charge and input flux, reflection and transmission of relativistic and non-relativistic one-dimensional particles. For this purpose, we will investigate the problem of electron scattering using the Schrodinger equation in the presence of the Dunkl operator and compare them with ordinary cases. We will also introduce the DKP equation, which is considered as a relativistic equation for investigating the scattering of relativistic bosons. Then we will expand the results to three dimensions and calculate the scattering cross section by calculating the phase shift and also check the results.