QM beginner's question about deltafunction potential problem

1. Nov 23, 2008

runninglow

how can i know the number of boundstate of a particle acting under a deltafunction potential?

2. Nov 23, 2008

Staff Emeritus
Draw the wavefunction. How many ways are there to do this?

3. Nov 23, 2008

nicksauce

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