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(Solved): (a) Identify which of the states below are eigenstates of the operator A([2a,3ai],[-3ai,2a]) wher ...
(a) Identify which of the states below are eigenstates of the operator
A?([2a,3ai],[-3ai,2a])
where a is a number that can be complex. Explain your answers, and find the eigenvalues for each of the states
that is an eigenstate.
|\psi _(1):
(b) Find the eigenvalues and normalized eigenstates of the operator B shown below
B?([6b,5b],[b,2b])
where b is a number that can be complex.
(c) Could the matrices A and B from parts (a) and (b) describe a physical observable? Why or Why not? Please
keep in mind that the numbers a and b in the operators above can be complex - does your answer to this part
depend on whether they are?