Â|1> = 2|1> + i|2>
Â|2> = -i|1> + 3|2>
Find Â|ѱ> where
|ѱ> = |1> + |2>
Can you now verify your answer for Â|ѱ> by doing the calculation in matrix representation?
And then compute the four "matrix elements":
A_ij ≡ <i|Â|j>
Where i, j = 1, 2.© BrainMass Inc. brainmass.com October 10, 2019, 7:41 am ad1c9bdddf
The solution shows, step by step, how to get the matrix representation of an operator under the given basis and show that the result is equivalent to direct calculation.