A particle of mass m is bound in a one-dimensional well with one impenetrable wall. The potential energy is given by the equation in the first provided image and the well is depticed in the second provided image. Show that there will be no bound state unless 2mV0 / ħ  ≥  π2 / 4. (Hint: Note the similarity of this problem to the solution of the finite square well for the odd wave functions. )

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A particle of mass m is bound in a one-dimensional well with one impenetrable wall. The potential energy is given by the equation in the first provided image and the well is depticed in the second provided image.

Show that there will be no bound state unless 2mV0 / ħ  ≥  π2 / 4.

(Hint: Note the similarity of this problem to the solution of the finite square well for the odd wave functions. )

V(x) =
-Vo
0
x < 0
0<x< a
x > a
Transcribed Image Text:V(x) = -Vo 0 x < 0 0<x< a x > a
VA
0
-Vo
a
X
Transcribed Image Text:VA 0 -Vo a X
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