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Condensed matter physics

  1. Nov 20, 2011 #1
    1. The problem statement, all variables and given/known data[/b]

    1. Consider two protons, separated by a distance R, and one electron. Assume
    that the electron wave function can be symmetric, s, or asymmetric, a, with:
    ψs = Ns( ψ1 + ψ2);
    ψa = Na( ψ1 - ψ2):
    Here 1 and 2 are the electron wave functions for large R when bound with
    proton 1 or proton 2, respectively
    a) Derive a expression for the normalisation constants Ns and Na. [6 Marks]
    b) Assuming the Hamiltonian is given by:

    look image attachment

    where r1 and r2 are the distances to proton 1 and proton 2, respectively.
    Derive an expression for the energies Es and Ea.

    2. Relevant equations

    for a) i found a solution here : http://farside.ph.utexas.edu/teaching/qmech/lectures/node129.html#e14.57

    is this correct ?

    im still confused with energues Ea and Eb

    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
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