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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Anshum Sharma
Here outer product is taken because Sx(1),Sy(2) belongs to different Hilbert space that's why for finding the product of Sx(1) and Sy(2) they did outer product. Here outer product means Sx(1) is the written in complex conjugate form and Sx(2) is written in normal form. if Sx(1) multiple with Sy(1) then you have to do inner product. Now do the outer product of the matrix where the element of 1st matrix is multiplied by the elements of 2nd matrix and written in row and column. see the attached image