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Schrodinger Eigenfunction Equation Coefficients

Consider the Schrodinger eigenfunction equation:

- 2  + V = k2
x2

Where k > 0

V (x) = 0 if x > a
V (x) = -V0 if 0 < x &#61603; a
V (x) = +&#61605; if x &#61603; 0

Also assume that for x > a:

&#61561;(x) = Ae-ikx + Beikx

Show that we must have |B| = |A| and find &#61510;&#61646;R so that B = Aexp(i&#61510;)

Please see the attached file for the fully formatted problems.

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Consider the Schrodinger eigenfunction equation:

- &#61622;2 &#61529; + V&#61529; = k2&#61529;
&#61622;x2

Where k > 0

V (x) = 0 if x > a
V (x) = -V0 if 0 < x &#61603; a
V (x) = +&#61605; if x &#61603; ...

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