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AKG

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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]

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?