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The quantity on the righthand side is positive, so
k
is real and the proposed function
satisfies Schrödinger’s equation. If
k
is negative, however, the proposed function would
be physically unrealistic. It would increase exponentially with
x
. Since the integral of the
probability density over the entire
x
axis must be finite,
ψ
diverging as
x
→∞
would be
unacceptable. Therefore, we choose
k
h
mU
E
=−
>
2
20
0
π
bg
.
57. (a) and (b) Schrödinger’s equation for the region
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics

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