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Multiple choice
In a classically allowed region (
E
>
V
E > V
E
>
V
), the WKB wavefunction has the form
ψ
(
x
)
≈
(
C
/
p
(
x
)
)
exp
(
±
(
i
/
ℏ
)
∫
p
d
x
)
\psi(x) \approx (C/\sqrt{p(x)})\, \exp(\pm (i/\hbar)\int p\, dx)
ψ
(
x
)
≈
(
C
/
p
(
x
)
)
exp
(
±
(
i
/ℏ
)
∫
p
d
x
)
. What is the physical meaning of the
1
/
p
1/\sqrt{p}
1/
p
amplitude factor?
It is the number of nodes in the wavefunction
It conserves probability flux: the amplitude is small where the particle moves fast (
p
p
p
large) and large where it moves slowly, so the particle is more likely found where it lingers
It enforces the Pauli exclusion principle for identical particles
It makes the wavefunction grow exponentially with x
Check answer