Dear Kun Ma for a better answer to your question I need the information regarding the sizes of matrices. As I understand, V is a scalar.

Vadym Slyusar

Thanks for your answer. V is an electron-electron interaction. The matix sizes depend on the size configuration space.

In fact, the reduce matrix element on the left side of the equation (see in figure) denotes the electron capture process, and the right side reduce matrix denotes auger process.

I want to know whether the auger's reduced matrix element can be replaced by the the matrix element of electron capture in the study of the polarization property in atomic collision process. If not, what relationship between the two reduce matrixs.

Thanks again!

Dear Kun Ma

This link might be useful, have a look:

https://www.mathworks.com/help/matlab/math/matrices-in-the-matlab-environment.html

Kind Regards

Qamar Ul Islam