Obtain the selection rule for as follows: (a) Derive the commutation relation Use this, and (in the final step) the fact that r.L = r. (rxP) = 0, to demonstrate that The generalization from z to r is trivial. (b) Sandwich this commutator between (n' 'm'| and |n m). and work out the implications [. [2.r]] -21 (02 +2).
Chapter 11, Problems #15
Obtain the selection rule for Δℓ as follows:
(a) Derive the commutation relation
Use this, and (in the final step) the fact that r.L = r. (rxP) = 0, to demonstrate that
The generalization from z to r is trivial.
(b) Sandwich this commutator between (n'ℓ 'm'| and |nℓ m). and work out the implications
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Related Book For 
Introduction To Quantum Mechanics
3rd Edition
Authors: David J. Griffiths, Darrell F. Schroeter
ISBN: 9781107189638