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Saturday, May 9, 2015

Exploring Quantum Physics - Week 6 Question 9

Question:

Does the angular momentum operator commute with the Hamilionian in this asymmetric potential?

Solution:

Yes. The same reasoning applies just as question 7 does.

Turn out I am wrong - it commutes only with $ L_3 $.
The expression I used in question 7 assumes all coefficients are the same, but this one isn't. Some terms may not cancel.

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