I need help with this question. I'm not sure exactly what it wants (what does it mean by bound state) and how should I start the problem? Here it is: Consider a particle of mass m moving in the following potential: [itex]\infty[/itex] for [itex]x \leq 0[/itex] [itex]-V_0[/itex] for [itex]0 < x \leq a \ (V_0 > 0)[/itex] [itex]0[/itex] for [itex]x > a[/itex] Calculate the minimum value for [itex]V_0[/itex] (in terms of a, m, and the Planck constant) so that the particle will have one bound state. I guess what they're asking for is the smallest value for [itex]V_0[/itex] such that some particle will have energy E such that [itex]-V_0 < E < 0[/itex]. So, if I can find the energy of the particle that is negative but closest to zero, that value will be [itex]-V_0[/itex]. Is this right so far? If so, how do I go about finding E?