1. The problem statement, all variables and given/known data A particle is in the following potential: V(x)=infinity for x<0; -V0 for 0<x<a; and 0 for x>a Given that there's only one bound state I am asked to determine the range of values for V0 in terms of the width a and the particle's mass m. 2. Relevant equations 3. The attempt at a solution For -V0<E<0 I chose the following general solution for the wave function: ψ(x)=Asin(kx) 0<x<a; Bexp(-qx) x>0 where k=√(2m(E+V0)/ħ and q=√(2m|E|)/ħ By demanding continuity at x=a for both wave functions and their derivatives I obtained the following solution: q=-kctg(ka) How may I proceed? I'd appreciate some guidance.