相对论类空方程

Relativistic Space-Like Equation

根据Dirac类空自洽性条件的思想 ,通过引入类空因子定义了类空波函数 .它的物理部分与Bethe Salpeter波函数相一致 .利用普适的相互作用核的重排技术 ,导出了对于束缚态和散射态的相对论类空方程 ,并且将它们推广到多粒子的情形 .也得到了束缚态类空波函数的归一化条件和散射态类空方程的非齐次项的解 .因此 。

According to Dirac's idea of the space-like consistency conditions,we define the space-like wave functions through introducing the space-like factor,which is equivalent to Bethe-Salpeter wave function in physical content. The space-like form of Bethe-Salpeter equation of both bound state and scatter state are derived in terms of the universal rearranging technology of interaction kernel. Moreover, they are extended to many particles case. We also obtain the normalization condition of the space-like function for bound state and the solution of non-homogeneous term in the space-like form of Bethe-Salpeter equation for scatter state. Consequently the formalism of the relativistic space-like equation is finally built.