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Question: Declaration of the variable type

Ques.mw In the WS attached,I want to specify that x1,x2,y1,y2 are real.I don't want the complex conjugate sign over the products in the hermitian conjugate matrix.

 

Also there are 2 examples of "Upper Shift" matrix- 3by3 & 4by4.I need a general index notation for this kind of matrix.(e.g. kronicker delta_i,j represents identity matrices).I tried with kronicker delta_i+1,j;but it doesn't give me the last row,i.e.,the 3rd for 3by3 and the 4th for 4by4.So I need a general index notatation by kronicker delta which represents the matrix correctly.

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