I am trying to prove:(adsbygoogle = window.adsbygoogle || []).push({});

L_xL_y - LyLx = ihL_z

Unfortunately I keep getting L_xL_y - L_yL_x = -ihL_z and I was hoping someone could spot the error in my calculations:

L_xL_y - L_yL_x = ( yp_z - zp_y )( zp_x - xp_z ) - ( zp_x - xp_z )( yp_z - zp_y )

= yp_zzp_x - yp_zxp_z - zp_yzp_x + zp_yxp_z - zp_xyp_z + zp_xzp_y + xp_zyp_z - xp_zzp_y

= p_zz( yp_x - xp_y ) + zp_z( p_yx - p_xy )

= p_zzL_z - zp_zL_z

= L_z( p_zz - zp_z )

= -ihL_z

Thanks for any help.

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# Angular momentum commutator derivation

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