From the commutators of L z with x, y, and z (Equation 4 122) obtain the selection rule for m and Equation 11 76 Sandwich each commutator between (n ' 'm ' and n m) L, x ihy Ly ihx, L, 2 0, (11 77)...

To establish the last line note that nlm LzxxLznlm hm m nlmx nlm ihnlmy nlm nlm LzyyLznlm m m nlm y nlm ihnlmxnlm nlm Lzz zLznlm hm m nlm ...

From the commutators of L z with x, y, and z (Equation 4.122): obtain the selection rule

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From the commutators of L_z with x, y, and z (Equation 4.122):

obtain the selection rule for Δm and Equation 11.76. Sandwich each commutator between (n'ℓ 'm'| and |nℓ m).

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Introduction To Quantum Mechanics

ISBN: 9781107189638

3rd Edition

Authors: David J. Griffiths, Darrell F. Schroeter

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Question Posted: Feb 01, 2023 07:16 AM

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From the commutators of L z with x, y, and z (Equation 4.122): obtain the selection rule

Question:

[L, x]=ihy. [Ly] =-ihx, [L₂, 2] = 0, (11.77)

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To establish the last line note that nlm LzxxLznlm hm m nlmx nlm ihnlmy nlm nlm LzyyLznlm m m nlm y nlm ihnlmxnlm nlm Lzz zLznlm hm m nlm ...View the full answer

Introduction To Quantum Mechanics

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