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QM beginner's question about deltafunction potential problem

  1. Nov 23, 2008 #1
    how can i know the number of boundstate of a particle acting under a deltafunction potential?
  2. jcsd
  3. Nov 23, 2008 #2

    Vanadium 50

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    Draw the wavefunction. How many ways are there to do this?
  4. Nov 23, 2008 #3


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    Or if you want to go the whole nine

    1) Write Schrodinger's equation
    2) Solve Schrodinger's equation with the appropriate boundary conditions (Psi continuous at x=0, dPsi/dx discontinuous by a certain amount), and the condition that E<0
    3) Show that there is in fact only one such state
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