Find the commutators of the operator's Lx and Ly;  Ly and Lz, also operators of Lz and Lx.

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In order to study the dynamical quantity angular momentum in quantum mech- anics, we construct the associated operators. This is done by replacing px, Py, Pz by their quantum mechanical equivalents - ih ô/ôx, - ih ô/oy, -ih ô/dz, according to an obvious three-dimensional extension of (5-32). Thus the operators for the three components of angular momentum are Lxop - Z = - ih( v dz (7-36) = - ihl z Lyop ôx ih x y = - ду Regeuge we must u9e onhericol polor coordinates these expressions must be trans- In order to study the dynamical quantity angular momentum in quantum mech- anics, we construct the associated operators. This is done by replacing px, Py, Pz by their quantum mechanical equivalents - ih ô/ôx, - ih ô/oy, -ih ô/dz, according to an obvious three-dimensional extension of (5-32). Thus the operators for the three components of angular momentum are Lxop - Z = - ih( v dz (7-36) = - ihl z Lyop ôx ih x y = - ду Regeuge we must u9e onhericol polor coordinates these expressions must be trans-