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Multiple choice
A variational ground-state estimate has
E
(
a
)
=
1.5
a
−
2
2
a
/
π
E(a) = 1.5\,a - 2\sqrt{2a/\pi}
E
(
a
)
=
1.5
a
−
2
2
a
/
π
. Minimizing over the parameter
a
a
a
gives the closed-form result
E
m
i
n
=
−
4
/
(
3
π
)
E_{min} = -4/(3\pi)
E
min
=
−
4/
(
3
π
)
. What is
E
m
i
n
E_{min}
E
min
numerically?
-0.2122
-1.2732
0.4244
-0.4244
Check answer