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Classical counterpart of the quantum |nlm> states

  1. Apr 20, 2009 #1
    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.
  2. jcsd
  3. Apr 21, 2009 #2
    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.

    Last edited: Apr 21, 2009
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