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Multiple choice
The energy eigenfunctions of the 1D infinite square well are
ψ
n
(
x
)
=
N
sin
(
n
π
x
/
L
)
\psi_n(x) = N \sin(n \pi x / L)
ψ
n
(
x
)
=
N
sin
(
nπ
x
/
L
)
. Normalization over
0
0
0
to
L
L
L
requires the integral of
∣
ψ
n
∣
2
|\psi_n|^2
∣
ψ
n
∣
2
to equal 1. For
L
=
1
L = 1
L
=
1
, what is the normalization constant
N
=
2
/
L
N = \sqrt{2/L}
N
=
2/
L
?
🔬 try it before you answer
1
2
≈
1.414
\sqrt{2} \approx 1.414
2
≈
1.414
2
1
/
2
≈
0.707
1/\sqrt{2} \approx 0.707
1/
2
≈
0.707
Check answer