- #1
ausdreamer
- 23
- 0
Homework Statement
I've solved my problem now. I was trying to show that LHS=RHS:
(|+><-| + |-><+|)^2 = (|+><+| + |-><-|)
this can be done by using <-|->=1 (normalization) and <x|->=0 (orthogonal).
LHS:
(|+><-||+><-|) + (|+><-||-><+|) + (|-><+||+><-|) + (|-><+||-><+|) = 0 + |+><+| + |-><-| + 0 = RHS
One last question I have (though not related to the above question) is how to find a new set of orthonormal kets which both operators A and B have in common, given that operators A and B commute and are both degenerate. If anyone can explain how I'd go about finding these eigenkets that'd be great, thanks :)
Homework Equations
There's isn't one for simplifying these expressions.
The Attempt at a Solution
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