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Homework Help: Variation problem in Schrödinger's first paper

  1. Oct 6, 2011 #1
    1. The problem statement, all variables and given/known data
    I am reading Shrödinger's first paper and have some problems understanding it. This is the first step I don't follow. The below is for Keplerian motion and comes from the Hamilton-Jacobi equation. This is what is said:

    Our variation problem then reads


    the integral being taken over all space. From this we find in the usual way


    df is an element of the infinite closed surface over which the integral is taken.

    2. Relevant equations
    See above.

    3. The attempt at a solution

    Through partial integration of the squared derivatives I get the term with the tripple integral to fit. What I get apart from this term is


    Is this somehow the same as ∫dfδψ(∂ψ/∂n)? What is in fact n here? And where does the half in front of δJ come from?
    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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