The primary purpose of this work is to reproduce the scenario composed of a charge-dyon system utilizing position-dependent effective mass(PDM) background in the non-relativistic and in the relativistic regimes. In th...The primary purpose of this work is to reproduce the scenario composed of a charge-dyon system utilizing position-dependent effective mass(PDM) background in the non-relativistic and in the relativistic regimes. In the nonrelativistic case we substitute the exact charge-dyon eigenfunction into PDM Schr?dinger equation, in the Zhu-Kroemer parametrization, and then solve it for the mass distribution considering M = M(r). Analogously, in the relativistic case we study the Klein-Gordon equation for a position-dependent mass, and in this case, we are able to analytically solve the equation for M = M(r, θ).展开更多
基金the Coordenacao de Aperfei,coamento de Pessoal de Nivel Superior—Brasil(CAPES)—Finance Code 001
文摘The primary purpose of this work is to reproduce the scenario composed of a charge-dyon system utilizing position-dependent effective mass(PDM) background in the non-relativistic and in the relativistic regimes. In the nonrelativistic case we substitute the exact charge-dyon eigenfunction into PDM Schr?dinger equation, in the Zhu-Kroemer parametrization, and then solve it for the mass distribution considering M = M(r). Analogously, in the relativistic case we study the Klein-Gordon equation for a position-dependent mass, and in this case, we are able to analytically solve the equation for M = M(r, θ).
