(a) Verify that the components of the two-dimensional matrix A, defined by Eq. (9.141), are constants of the motion for the two-dimensional isotropic harmonic oscillator problem.
(b) Verify that the quantities Si, i = 1, 2, 3, defined by Eqs. (9.144), (9.145), (9.146), have the properties stated in Eqs. (9.147) and (9.148).
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