- #1

kakarotyjn

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## Homework Statement

Consider the step function potential: [tex]V(x) = \{ \begin{array}{*{20}c}

{0,(x \le 0)} \\

{V_0 ,(x > 0)} \\

\end{array}[/tex],Caculate the reflection coefficient,for the case E<V0,and comment on the answer

## Homework Equations

[tex] - \frac{{\hbar ^2 }}{{2m}}\frac{{d^2 \psi }}{{dx^2 }} + V_0 \psi = E\psi [/tex]

## The Attempt at a Solution

when x<=0,let [tex]k = \frac{{\sqrt {2mE} }}{\hbar }[/tex],then [tex]\psi (x) = Ae^{kxi} + Be^{ - kxi} [/tex],if x>0,then let [tex]l = \frac{{\sqrt {2m(V_0 - E)} }}{\hbar }[/tex],and [tex]\psi (x) = De^{ - lx} [/tex]

Then how do we explain it?The funtion is real in the right

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