,Solution of the Dirac Equation with Special Hulthen Potentials

• 作 者: GUO Jian-You(郭建友) MENG Jie(孟杰) XU Fu-Xin(徐辅新)
• 机 构: School of Physics, Peking University, Beijing 100871“,”Institute of Theoretical Physics, Chinese Aca
• 出 处: 中国物理快报（英文版）
• 发表日期: 2003年5期

The Dirac equation for the special case of a 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 hypergeometric function, and the energy spectrum of the bound states is obtained as a solution to a given equation by boundary constraints, in which the nonrelativistic limit reproduces the usual Hulthen potential.