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x < 0, V(x) = -Vo, 0 a, where Vo> 0.

x < 0, V(x) = -Vo, 0 a, where Vo> 0.

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3.- Consider a particle of mass m that moves in the following potential x < 0, 00, -Vo, 0<x< a, 0, V(x) = x > a, where Vo> 0. a) Find the wave function. b) Show how to obtain the eigenenergies from a graph. c) Calculate the minimum value of Vo (in terms of m, a and ħ) for the particle to have a bound state; then calculate it for two bound states. From these two results, try to get the lowest value of Vo so that the system has n bound states.
Transcribed Image Text:3.- Consider a particle of mass m that moves in the following potential x < 0, 00, -Vo, 0<x< a, 0, V(x) = x > a, where Vo> 0. a) Find the wave function. b) Show how to obtain the eigenenergies from a graph. c) Calculate the minimum value of Vo (in terms of m, a and ħ) for the particle to have a bound state; then calculate it for two bound states. From these two results, try to get the lowest value of Vo so that the system has n bound states.
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