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Angular Momentum Commutation Relations

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Verify that the commutation relations for the angular momentum imply:

LxL = i*h_bar*L

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Solution Summary

This solution includes calculations for finding commutation relations of angular momentum by using commutation relation of position and linear momentum.

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This commutation relation can be verify by using relation of angular momentum with linear momentum and position vectors.

These relations are given as in the following text, after listing out these relations we'll proceed for the calculation of commutation relation.

Angular momentum L can be given as the vector product of the position r and linear momentum p as follow

L= r x p

In the form of components, this gives

Lx = yPz - zPy ; Ly = zPx - xPz and Lz = xPy - yPx ...

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