Quiz # 2, Physics 316, Modern Physics I
Date: Wednesday, 04/01/05  9:05, 132 Rockefeller Hall
Exercise 1:
If you have a potential
V
(
x
) with
V
(

x
) =
V
(
x
) and an initial wave function
Ψ(
x,
0) which is not symmetric and not antisymmetric around
x
= 0. Explain why the probability
distribution

Ψ(
x, t
)

2
has to be time dependent.
Exercise 2:
In the approximation that the force between two
Cl
atoms in
Cl
2
increases linearly
with the distance between them, the absorption frequencies of
Cl
2
have a constant spacing, like
the energy levels of a harmonic oscillator.
When Δ
ω
35
is that spacing for a
Cl
isotope with 17
protons and 18 neutrons, and Δ
ω
36
is the frequency spacing for a
Cl
isotope with 17 protons and
19 neutrons, what is Δ
ω
35
/
Δ
ω
36
?
Exercise 3:
A monochromatic light beam in an unknown polarization state
~
E
=
~e
x
E
x
cos(
ζ
+
φ
x
) +
~e
y
E
y
cos(
ζ
+
φ
y
)
with
ζ
=
kz

ωt
(1)
is sent through a linear polarizer which has an angle
θ
between its axis
~e
x
0
and the horizontal
direction.
The transmitted intensity
I
(
θ
) is proportional to the time average of the transmitted
electric field vector.
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 Spring '05
 HOFFSTAETTER
 Physics, Atom, Photon, Fundamental physics concepts, ey Ey cos

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