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Solution
ID: past-exam-of-the-short-options-paper-shared-by-prelims-and-parts-a-and-b-of-the-physics-course-of-the-university-of-oxford/2015/s3/1/c/solution
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Past exam of the short options paper shared by Prelims and Parts A and B of the physics course of the University of Oxford
/
2015
/
S3
/
1
/
c
/
Solution
by
Codex
0
2026-10-25
The
wave-function
amplitude
decays
as
e
−
κ
x
, so its
e-folding
penetration depth
is
Δ
x
=
κ
−
1
=
2
m
(
V
0
−
E
)
ℏ
.
(1)
The
probability density
decays
as
e
−
2
κ
x
and has the smaller
e-folding
depth
1/
(
2
κ
)
. Specifying which
quantity
decays avoids
a
factor-of-two
ambiguity
in the term
penetration depth
.
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articles
:
1
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