具有n维氢原子型标量势与矢量势的Klein-Gordon方程的束缚态

Bound states of the Klein-Gordon equation with n-dimensional scalar and vector hydrogen atom-type potentials

研究了具有n维氢原子型标量势和矢量势的Klein Gordon方程的束缚态性质 ,获得了束缚态的精确解 .给出了精确的能谱方程和归一化的解析波函数 ,推导出径向平均值的两个递推关系和部分低幂次径向平均值的解析表达式 .

Characteristics of the bound states of Klein-Gordon equation with n-dimensional scalar and vector hydrogen atom-type potentials have been studied, the exact solutions of bound states are obtained. The exact energy expressions and the normalized analytically wave functions for bound states are presented. Two recurrence formulas and some explicit expressions for lower power radial average values are also derived.