let be X,Y and Z operators of some algebra so(adsbygoogle = window.adsbygoogle || []).push({});

[tex] [X_i , Y_j]= \epsilon _ijkX_k [/tex] where i,j and k range over X, Y and Z

then i define the change of coordinates

[tex] X= rcos(u) [/tex]

[tex] Y= rsin(u) [/tex]

[tex] Z=Z [/tex]

again r, u and Z are new operators, the problem is , how can i find for example what is the value of [tex] [r, u] [/tex] or [tex] [r,z] [/tex] or [tex] [u,z] [/tex] ??

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# X,Y and Z operators of some algebra

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