I know how a delta potential is described mathematically but how can a delta potential be a 'well'? Does it have particles outside the 'well' and 'bind' it or does it somehow have particle inside it?
Also, if we consider three dimensions then won't the potential be present at only one point in space meaning there being no particles inside it?
For example, suppose a situation where at origin we have a delta potential. Now, if a particle is at say the right side of the origin and moving towards it then how will it interact with the potential? Is this interpretation of the potential even correct?
I am sorry if I am unclear but I really don't understand the concept of delta potentials.