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Wave function of hydrogen in 2s state

  1. Mar 27, 2010 #1
    1. The problem statement, all variables and given/known data
    Suppose that a hydrogen atom is in the 2s state. Taking r = a0, calculate value for [tex]\psi[/tex]2s(a0)

    2. Relevant equations
    I did spherical harmonics for l=0 ml=0 times the radial wavefunction for n=2 l=0. Got the same thing as the solution manual attached but when I started calculating I did not get the same final answer. I would just like someone else to punch in the numbers and see if they get the final answer in the book or perhaps something different, like I did.

    3. The attempt at a solution
    My final answer turned out to be 1.57*10^14 m^(3/2)

    My main question is how the author got e^(-1/2) over 4(2pi)^(1/2) = 0.380, see underlined terms in pic (latex is not working for me today)

    Attached Files:

  2. jcsd
  3. Mar 27, 2010 #2


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    That's weird, I agree with your answer.
  4. Mar 27, 2010 #3
    Phew, that's a relief. I thought I was going crazy. What's funny is I have both the second and third edition of this book and they have that same answer.

    Thanks for your help.
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