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Multiple choice
Exactly on resonance the transition probability grows quadratically in time:
P
=
V
f
i
2
4
ℏ
2
t
2
P = \frac{V_{fi}^2}{4\hbar^2} t^2
P
=
4
ℏ
2
V
f
i
2
t
2
. With
ℏ
=
1
\hbar = 1
ℏ
=
1
,
V
f
i
=
0.2
V_{fi} = 0.2
V
f
i
=
0.2
, and
t
=
3
t = 3
t
=
3
, what is
P
P
P
?
0.03 (used
t
t
t
instead of
t
2
t^2
t
2
)
0.18
0.09
0.36 (forgot the factor of 1/4)
Check answer