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Homework Help: Deriving equation of potential energy of H2

  1. Mar 25, 2012 #1
    1. The problem statement, all variables and given/known data

    Derive the equation for the potential energy of a system of 2 hydrogen atoms as a function of internuclear distance.

    2. Relevant equations

    For electron/electron and nucleus/nucleus repulsion:

    [itex]V_E=\frac{e^2}{4\pi\epsilon_0 R}[/itex]

    For electron/nucleus attraction:

    [itex]V_E=-\frac{e^2}{4\pi\epsilon_0 R}[/itex]

    Schrodinger equation:

    [itex]-\frac{\hbar^2}{2m}\frac{\partial^2\psi (R)}{\partial R^2}+V(R)\psi (R)=E\psi (R)[/itex]

    3. The attempt at a solution

    I am really confused on what to take for V(R) ? There are 4 electric interactions (2 electrons and 2 positively charged nuclei). Also, I don't understand what I should graph, is it the wave function ? If someone could just give me a little hint, it would help a lot!

    Thank you so much
  2. jcsd
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