Classical counterpart of the quantum |nlm> states

[wdlang]

what are the classical counterparts of the quantum |nlm> states?

in a isotropic potential.

i am reading some books on Redberg atoms and i find this question not so trivial.

 

[Bob_for_short]

what are the classical counterparts of the quantum |nlm> states?

in a isotropic potential.

i am reading some books on Redberg atoms and i find this question not so trivial.

Roughly speaking, a classical trajectory with the same (big) angular momentum L = l and the same (big) energy E = E_n corresponds to the quantum state |nlm> with the projection m = l=L.

Stricltly speaking, a classical trajectory is a superposition of the states |nlm> with different n, l, and the projections m with E=<E_n>, L = <l>, and the average value of <m>=L.


Bob.