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\centerline{\textbf{RESPONSE OF A SERIES LRC CIRCUIT TO DIFFERENT FREQUENCIES}}
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This graph (solid black line) represents the potential energy of a particle at any position.  This is known as the "finite square well" problem, and the potential function is a piecewise function    
The dashed line represents the total energy E of the particle.  We don't know the value(s) of E yet; we have to find them.  We also don't yet know the form of the wave function  (x).  We have to find the correct form.  For this piecewise potential function, the wave function has a different form in each of the regions.  Solve the eigenvalue equation   in the region assigned to your group.  Afterwards, we will have a group discussion to decide how to make sure that the total wave function over the entire space is appropriately continuous and otherwise well-behaved.

1.	Region 1: x < -a
2.  	Region 2: -a < x < a
3.  	Region 3: x > a

Your group will discuss one of the regions: if you finish early, move on to another, swapping roles of taskmaster, cynic, & recorder.  Consider whether or not your answer would be different if E > V0. 

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\leftline{\textit{by Janet Tate}}
\leftline{\copyright DATE Janet Tate}
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