Consider the action of an infinitesimal rotation about the n axis of an angular momentum eigenstate nm.
Question:
Consider the action of an infinitesimal rotation about the n axis of an angular momentum eigenstate Ψnℓm. Show that
and find the complex numbers Dm'm (they will depend on δ, n, and ℓ as well as m and m'). This result makes sense: a rotation doesn’t change the magnitude of the angular momentum (specified by ℓ) but does change its projection along the z axis (specified by m).
Transcribed Image Text:
Rn (8) Vnem Dm'mnem', m'
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Related Book For
Introduction To Quantum Mechanics
ISBN: 9781107189638
3rd Edition
Authors: David J. Griffiths, Darrell F. Schroeter
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