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Matrix Mechanics position and momentum operator

  1. Jan 24, 2013 #1
    1. The problem statement, all variables and given/known data
    Stationary states are related by 1/m*pij = Ei-Ej/(i*hbar) *xij where pij = ∫ψi(x)*p*ψj (x) and similarly for xij


    2. Relevant equations
    Classical correspondence for equation of motion is d<x>/t = <p>/m
    Schrodinger equation
    Ehrenfest Theorem
    Fourier Transform


    3. The attempt at a solution

    I know that ψ(x,t) = ψi(x)*e-iEit/hbar
    And I would know how to do this sort of thing for a linear combination or a specific example i.e. infinite square well. I just don't know how to go about generalizing it. If you could get me started, I can go from there.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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