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Multiple choice
A particle with energy
E
=
5
E = 5
E
=
5
eV hits a potential step of height
V
0
=
1
V_0 = 1
V
0
=
1
eV (
E
>
V
0
E > V_0
E
>
V
0
, so it transmits over the step). With wavenumbers
k
1
∝
E
k_1 \propto \sqrt{E}
k
1
∝
E
and
k
2
∝
E
−
V
0
k_2 \propto \sqrt{E - V_0}
k
2
∝
E
−
V
0
, the reflection coefficient is
R
=
(
(
k
1
−
k
2
)
/
(
k
1
+
k
2
)
)
2
R = ((k_1 - k_2)/(k_1 + k_2))^2
R
=
((
k
1
−
k
2
)
/
(
k
1
+
k
2
)
)
2
. What is
R
R
R
?
🔬 try it before you answer
≈ 0.0557
≈ 0.00311
≈ 0.997
≈ 0.111
Check answer