Solution of the Dirac equation with special Hulthen potentials
Solution of the Dirac equation with special Hulthen potentials
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DOI：
10.1088/0256-307x/20/5/303
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发表时间：
2003-05-01
影响因子：
3.5
通讯作者：
Xu, FX
中科院分区：
文献类型：
--
作者：
Guo, JY;Meng, J;Xu, FX
当选择偶数分量作为 Hulthen 势时，可以精确求解相对论势中旋量的特殊情况（其偶数分量和奇数分量由约束相关）的狄拉克方程。根据超几何函数获得了二分量旋量的相应径向波函数，并且通过边界约束获得了束缚态的能谱作为给定方程的解，其中非相对论极限再现了通常的赫尔森势。
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.