Question

6. 2p,, 2py, and 2p, orbitals form an orthonormal basis set for a hydrogen state with n 1. These orbitals can be made by linear combinations of 2po, 2p, and 2p., as follows: 2 and 1- Compute the magnitude of total rotational angular momentum and the average z-component of the total angular momentum of 2p., 2p,, and 2p, states. (6 pts) Hint: use the following properties of H states and 1 1 for 2po. 2p, and 2p., and ml 0, 1, and -1, respectively. v,1m (r,0,0)-R,,(r).", (θ,φ) ; n-1,2,3, , 1-0, 1,2, ,n-1 , m,+0, ia2, , l z2 0 n8n'h

Answer 1

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