- #1
Frank Einstein
- 170
- 1
Homework Statement
Given this three operators in the same orthonormal base, [H]=[{0,1,0},{1,0,0},{0,0,1}], [A]=[{1,0,0},{0,1,0},{0,0,1}] and =[{1,1,1},{1,1,1},{1,1,1}], tell which of these observables form a complete set of compatible observables:
[H], [H,A], [H,B] or [H,A,B]
Homework Equations
None
The Attempt at a Solution
For a complete set of observables has to exist an orthonormal base formed by common eigenvectors to all the operators; here , the eigenvectors of the operators are [H]==>{{-1, 1, 0}, {0, 0, 1}, {1, 1, 0}}
[A]==>{{0, 0, 1}, {0, 1, 0}, {1, 0, 0}} and ==>{{1, 1, 1}, {-1, 0, 1}, {-1, 1, 0}}
Since H and A share {0, 0, 1} and A and B share {-1, 1, 0}, I think that the anwser is [H,A,B], can someone please tell me if my gess is right?
Thanks for reading.