1. The problem statement, all variables and given/known data Hey guys:) Maybe you will be able to help me with this problem i got as an assignment for my quantum mechanics course, it goes as follows: a particle of mass m moves in the potential for x<0 infinity, for 0<x<a -U, for a<x<b 0, for b<x infinity. a) Sketch the potential. b) We are looking for a solution with energy E=0. Set up the Schrödinger equation (in different areas), and determine the general solutions. Put E=0 from the beginning of Schrödinger equation. c) Use the continuity conditions for reducing the number of constants. Note that continuity condition always applies to ψ(x) at all points, but it only applies to dψ(x)/dx at points where the potential is finite. In the case above, we can not require continuity of dψ(x)/dx in points x=0 or x=b but in the point x=a. d) Determine the condition for U to be valid. 2. Relevant equations 3. The attempt at a solution Of course i attemted to solve this by solving the schrodinger's equations for indicated ranges, however i faced the problem by having to present E as 0 from the very beginning.