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Parity of states

  1. Oct 25, 2009 #1
    1. The problem statement, all variables and given/known data

    Which of the following states have odd parity?

    a. 2p m=0
    b. 2p m=1
    c. 26f m=0
    d. 2s


    3. The attempt at a solution

    Knowing the wavefunctions for a,b, and d, i think that all of them have odd parity. What about the 26f m=0 state?
     
  2. jcsd
  3. Oct 25, 2009 #2

    gabbagabbahey

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    I'd recommend you write down the values of [itex]n[/itex], [itex]m[/itex] and [itex]\ell[/itex] for each of those orbitals, and then use those to deduce the form of each wavefunction, and then see what happens to each one under the parity transformation.

    [tex] \psi_{n\ell m}(r,\vartheta,\varphi) \propto e^{- \rho / 2} \rho^{\ell} L_{n-\ell-1}^{2\ell+1}(\rho) \cdot Y_{\ell}^{m}(\vartheta, \varphi ) [/tex]
     
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