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Unformatted text preview: a = i 1 2 2 i 3 b = i 1 2 3 (a) Construct a and b in terms of the dual basis 1 , 2 , 3 (b) Find a b and b a , and show that b a = a b (c) Find all nine matrix elements of the operator A = a b in this basis. (d) Show whether the operator A is Hermitian or not. 4. Consider a three-dimensional ket space where operator B is defined as B = [ b ib ib ] (a) Find the eigenvalues and eigenvectors of operator B . (b) Find the matrix representation of operator B with respect to the vector basis given by its eigenvectors....
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This note was uploaded on 04/11/2010 for the course PHYS 446 taught by Professor Vachon during the Fall '08 term at McGill.
- Fall '08