How do I set up a delta potential well with an infinite potential wall?

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This discussion focuses on setting up a delta potential well with an infinite potential wall located a distance 'a' from the well. The participant seeks guidance on formulating the problem, particularly regarding boundary conditions and the differential equation involved. The correct boundary condition for the wave function at x = 0 is established as ψI(0) = 0, leading to the conclusion that A = -B. The goal is to find the bound state of a particle with energy less than zero.

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maverick_76
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Okay so I am trying to solve a delta potential well with an infinite potential wall on one side a distance a away from the well. The other side is open so I am confused about how to set up the problem. Here is a picture of my work so far and if anyone has an insight into this I'd appreciate some guidance, thanks! My diff eq. is a little rusty so I'm wondering if my problem here is just math related or physics related, or both :p
 

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A couple of questions for clarification. Are you looking for a bound state with energy < 0? If you are, the form of your solution is correct.
You have not explicitly stated your boundary conditions. The boundary condition for the wave function at x = 0 is: ψI(0) = 0. This will prove that A = -B, so you are correct.
 
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Yes I am looking for the bound state of a particle. Awesome! Thank you!
 

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