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Results tagged with commutator
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user 130855
A mathematical construct quantifying the difference in effect of applying two operators in two alternate successions. It is the defining product of a Lie algebra, the efficient underlying description of Lie groups, of use in several areas of physics, most notably quantum field theory.
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Commutator of Angular Momentum and Position
I'm trying to show that $[L_i,x_k]=i\hbar \epsilon_{ikl}x_l$.
I seem to be off by a sign. Here's what I did:
$[L_i,x_k]=[\epsilon_{ikl}x_kp_l,x_k]=\epsilon_{ikl}(x_k[p_l,x_k]+[x_k,x_k]p_l) = \epsilo …
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