Recent content by Aladin Choura

A common fall is to use first order finite difference for the derivative boundary condition. Use a 3 points formula instead. I don't know how that can be embedded in the solution for the transient problem though.

You have found Ethreshold. Just plug T into the expression for E to see it. Since K has to be real for an unbound state, any unbound state must have energy greater than or equal to Ethreshold so calculated.