求取稳态轴对称引力场中二重逆散射方法的非对角波函数

General Method of Obtaining Double Inverse Scattering Wave Function in Axisymmertric Stationary Einstein Vacuum Field

应用稳态轴对称真空引力场的二重逆散射方法 ,可以从已知种子解的逆散射波函数生成新解 .二重逆散射方法的关键是求其合适的“二重波函数” ,以前的波函数都是对角的并具有局限性 .将散射波函数Ψ0k推广为一种任意矩阵的形式 .这种新的方法解决了以往求取散射波函数Ψ0k的局限性 .以前的波函数只是我们给出的波函数的一个特例 .

New solutions can be generated from inverse scattering wave functions of known seed solutions by way of Double Inverse Scattering Method in axisymmertric stationary Einstein vacuum field.The key of Double Inverse Scatterning Method lies in the finding of a proper double complex wave function, but previous wave functions are all diagonal and they have some kind of limitation. A general method of obtaining new double inverse scattering wave function from a double seed solution is presented,in which the new wave function is taken the form as a non diagonal metric. The previous wave functions are only parts of the new one.