Principles of Quantum Mechanics · Problem 12.2.2

Rotational Invariance and Angular Momentum — R. Shankar

Physics — Quantum Mechanics · rotational-invariance-angular-momentum

Problem

Using these commutation relations (and your keen hindsight) derive

L_z = XP_y - YP_x

. At least show that Eqs. (12.2.16) and (12.2.17) are consistent with

L_z = XP_y - YP_x