Dunkl–Klein–Gordon Equation in Three-Dimensions: The Klein–Gordon Oscillator and Coulomb Potential

Recent studies show that deformations in quantum mechanics are inevitable. In this contribution, we consider a relativistic mechanical differential equation the presence of Dunkl operator-based deformation and investigate solutions for two important problems three-dimensional spatial space. To end, after introducing mechanics, examine Dunkl–Klein–Gordon oscillator with Cartesian spherical coordinates. both coordinate systems, find equations separable their eigenfunctions can be given terms associate Laguerre Jacobi polynomials. We observe how formalism is affecting eigenvalues as well eigenfunctions. As second problem, Coulomb potential. obtain eigenvalue, corresponding eigenfunctions, Dunkl-fine structure terms.