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Schrodinger equation and second derivatives

  1. Oct 28, 2007 #1
    1. The problem statement, all variables and given/known data
    Is this logic correct:

    begin logic;

    1) The Schrodinger equation must hold for all x:

    2) The Schrodinger equation contains a second derivative

    3) A derivative is only defined on a continuous function.

    1, 2, and 3 imply that the first derivative of any wavefunction must be continuous.

    end logic;

    My book says that the first derivative does not need to be continuous for delta function potentials, so something must be wrong with my logic...

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
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