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Wave Function for Hydrogen

  1. Feb 13, 2009 #1
    1. The problem statement, all variables and given/known data

    Suppose a hydrogen atom is in the [tex]2s[/tex] stat, with its wav function given by:

    [tex]\psi_2_s (r) = \frac{1}{4\sqrt(2\pi a_o^\frac{3}{2})} (2-\frac{r}{a_o}) e^(-\frac{r}{2a_o})[/tex]

    Taking [tex]r = a_o[/tex], calculate [tex]\psi_2_s (a_o)[/tex]

    2. Relevant equations


    3. The attempt at a solution

    Since [tex]r=a_o=0.0529 nm[/tex], I get [tex]\frac{1.57*10^(14)}{ m^3}[/tex]

    Now, my question is "what is the meaning of this value?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Feb 15, 2009 #2

    Redbelly98

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    Staff Emeritus
    Science Advisor
    Homework Helper

    Well, the units of a 3-D wave function should have m3/2 in the denominator (i.e. the units are m-3/2).

    I'm not sure people actually ascribe physical meaning to the value of a wavefunction. I think of wavefunctions as a calculational tool in determining observable quantities such as position, momentum, energy, etc. QM is all about measurable quantities or observables.

    Hope that helps.
     
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