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Superposition principle and continuity

  1. Jun 30, 2012 #1
    hello
    i have question : how the superposition principle proves continuity of ψ in potential barrier
     
  2. jcsd
  3. Jun 30, 2012 #2
    and how to prove the continuity of psi
     
  4. Jun 30, 2012 #3

    mfb

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    Staff: Mentor

    Does this question have any context? Book/paper/whatever?
    A discontinuous wave function cannot satisfy the Schroedinger equation (it does not have a spatial derivative), but this has no clear relation to superposition. And it is independent of any explicit potentials.
     
  5. Jul 2, 2012 #4
    okay .... but how to prove continuity of psi by super position ? example in potential barrier
     
  6. Jul 2, 2012 #5

    Fredrik

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    I don't understand the "by superposition" requirement. Since ψ satisfies the Schrödinger equation, it's differentiable, and every differentiable function is continuous.
     
  7. Jul 2, 2012 #6
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