Prove that the 3D harmonic oscillator orbital angular momentum operators are given by (boldsymbol{L}=i boldsymbol{a} times boldsymbol{a}^{dagger}).

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Prove that the 3D harmonic oscillator orbital angular momentum operators are given by $\boldsymbol{L}=i \boldsymbol{a} \times \boldsymbol{a}^{\dagger}$. Show that the components $L_{k}$ obey the commutator (10.13).

Data from Eq. 10.13

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Symmetry Broken Symmetry And Topology In Modern Physics A First Course

ISBN: 9781316518618

1st Edition

Authors: Mike Guidry, Yang Sun

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Question Posted: Mar 30, 2024 11:00 PM

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Prove that the 3D harmonic oscillator orbital angular momentum operators are given by (boldsymbol{L}=i boldsymbol{a} times boldsymbol{a}^{dagger}).

Question:

[L, a]] = iejka,

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Symmetry Broken Symmetry And Topology In Modern Physics A First Course

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