Physics 139
Supplemental Homework Problem 1
yA
SA
SB
yB
vB / A
xA
SC
yC
vC / B
xC
xB
The figure above shows three reference frames, , , and . Frame
is moving at a velocity,
,
with respect to , and frame
is moving at a velocity,
, with respect to . An even
Physics 139
Supplemental Homework Problem 9
S9. Let us go back to Minkowski space in the spatial spherical coordinates:
Take
and
a. Find the Jacobean of transformation
.
and its inverse,
b. Using the result from a, find the metric,
c. Remembering that
for
Physics 139
Supplemental Homework Problems 5 - 8
S5. In the stationary frame, , an infinite line of charge with charge density, , lies along the
frame moves with a velocity, , along the
-axis.
a. Show that the vector potential four-vector
in the -frame. H
Physics 139
Supplemental Homework Problem 2
S2. Remember the Lorentz transformation between a stationary and a moving is
As with what happens in Newtonian dynamics, we can consider these equations as a coordinate
transformation. Then the column of equatio