自旋3/2场的Rarita-Schwinger和de Sitter空间静坐标中的分离变量,Schr dinger四元基
Rarita--Schwinger for spin 3/2 field and separation of the variables in static coordinates of de Sitter space, Schrödinger tetrad basis
摘要:
在de Sitter时空的静态坐标系中,研究了用Rarita-Schwinger方法描述自旋为3/2的大质量粒子.一般的协变系统,来自相关的拉格朗日,作为一个主要的波动方程和附加的约束条件的形式,一阶微分和代数关系。利用扩展的薛定谔四元组基和维格纳D函数技术,实现了变量的分离。通过对自旋为3/2的场的$P$ -反演算符的对角化,将16个径向方程简化为8个径向方程。
英文摘要:
Rarita-Schwinger approach to description of a massive spin 3/2 particle is investigated in static coordinates of the de Sitter space-time. The general covariant system, derived from the relevant Lagrangian, is presented as a main wave equation and additional constraints in the form of first order deferential and algebraic relations. With the use of an extended Schrödinger tetrad basis and technique of Wigner D-functions the separation of the variable performed. 16 radial equations reduce to 8 ones through diagonalization of $P$-inversion operator for spin 3/2 field.
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