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Multiple choice
In the hydrogen atom, the Coulomb potential energy between the proton
(
+
e
)
(+e)
(
+
e
)
and electron
(
−
e
)
(-e)
(
−
e
)
at separation
r
r
r
is
V
(
r
)
=
−
e
2
/
(
4
π
ϵ
0
r
)
V(r) = -e^2 / (4\pi\epsilon_0 r)
V
(
r
)
=
−
e
2
/
(
4
π
ϵ
0
r
)
. Which feature of this potential is the structural fact that makes the atom exactly solvable?
It depends explicitly on the angles
θ
\theta
θ
and
ϕ
\phi
ϕ
but not on
r
r
r
It oscillates periodically in
r
r
r
like a sinusoidal wave
It is a positive, repulsive potential that grows linearly with
r
r
r
It depends only on the distance
r
r
r
, not on direction (it is a central potential with spherical symmetry)
Check answer