 #1
ausdreamer
 23
 0
Homework Statement
1) The position operator x has a continuous spectrum of engenvalues {x'} with corresponding eigenkets {x'>}. Expand this state in terms of the position eigenstates.
2) Suppose the transition amplitudes c_a',b' = <a'b'> are known where {b'>} are the eigenstates of a Hermition operator. Write cos(A) in terms of {b'>}.
Homework Equations

The Attempt at a Solution
1) Is this correct? Let the arbitrary state be x>, then:
x> = integral(dx' * x'><x' * x>) ?
2) I have no idea how one would write cos(A) in terms of {a'>}, let alone in terms of {b'>}??
Any help appreciated!