Solution of the Dirac Equation with Special Hulthén Potentials

2003 
The Dirac equation for the special case of spinor in the relativistic potential with the even and odd components related by a constraint is solved exactly when the even component is chosen to be the Hulthen potential.The corresponding radial wavefunctions for two-component spinor are obtained in terms of the hypergeonetric function,and the energy spectrum of the bound states is obtained as a solution to a given equation by boundary constrants,in which the nonrelativistic limit reproduces the usual Hulthen potential.
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