 #1
tanaygupta2000
 204
 14
 Homework Statement:

Consider an Ndimensional linear vector space spanned by the orthonormal basis
states, {b1>, b2>, ...., bN>}. An operator R is given to operate on these basis stats as: Rb(j) = b(j+1)> for j=1 to (N1), and RbN> = b1>.
Write R in the matrix form in the given basis.
 Relevant Equations:

<ψRψ> = Σ(i) Σ(j) <ψbj> <bjRbi> <biψ>
where
R operator = <bjRbi> matrix
I have successfully found the N by N matrix corresponding to the operator R.
But the problem is, whenever I try to operate R on bj> basis vectors, I am not getting b(j+1)> as it should be.
Instead, I am getting result as given in the question only by <bjR = <b(j+1)
Matrix is not working with kets.
Please help !