Do the Hamiltonian (H) and the z-component of angular momentum (L_z) commute?(adsbygoogle = window.adsbygoogle || []).push({});

[H, L_z]=0

H = [(-(hbar)^2/2m) dell^2] + V(r, theta, phi)

where dell is the gradient, and V is the potential

L_z = -i(hbar)(d/d phi)

where d is actually a partial derivative

I know how to find a commutator : [H,L_Z] = H*L_z - L_z*H

but i'm having trouble working through it in spherical coordinates (which my problem calls for)

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# Homework Help: Angular Momentum Commutator

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