Here we pursue the more rigorous approach to the claim that the property quantized accordi...

Here we pursue the more rigorous approach to the claim that the property quantized according to mℓ is Lz

(a) Starling with a straightforward application of the chain rule,

use the transformations given in Table 7.2 to show that

(b) Recall that L ≡ r × p. From the z-component of this famous formula and the definitions of the operators for px and py, argue that the operator for Lz is - .

(c) What now allows us to say that our azimuthal solution e*"t* has a well-defined z-component of angular momentum and that its value .