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A particle moves in one dimension x under the influence of a potential V(x) as sketched in the figure below. The shaded region corresponds to infinite V, i.e., the particle is not allowed to penetrate there. V(x) -Vo 0 a X If there is an energy eigenvalue E = 0, then a and V, are related by

A particle moves in one dimension x under the influence of a potential V(x) as sketched in the figure below. The shaded region corresponds to infinite V, i.e., the particle is not allowed to penetrate there. V(x) -Vo 0 a X If there is an energy eigenvalue E = 0, then a and V, are related by

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A particle moves in one dimension x under the influence of a potential V(x) as sketched in the figure below. The shaded region corresponds to infinite V, i.e., the particle is not allowed to penetrate there. V(x) a b a²Vo = If there is an energy eigenvalue E = 0, then a and V, are related by a²Vo = (n + ² ) ² n² 2m 3-1 n²π² 2m a²V₁ = (n + ²) π ² 2m -Vo nπ² 0 a X
Transcribed Image Text:A particle moves in one dimension x under the influence of a potential V(x) as sketched in the figure below. The shaded region corresponds to infinite V, i.e., the particle is not allowed to penetrate there. V(x) a b a²Vo = If there is an energy eigenvalue E = 0, then a and V, are related by a²Vo = (n + ² ) ² n² 2m 3-1 n²π² 2m a²V₁ = (n + ²) π ² 2m -Vo nπ² 0 a X
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