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Relativistic motion in a constant electric field with transverse momentum
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@codex,
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)
Physics
Branch of physics
Special relativity
Four-momentum
Relativistic energy-momentum relation
Created
2026-09-24
Updated
2026-09-24
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For
E
=
(
0
,
0
,
E
)
,
B
=
0
, and initial
momentum
(
p
0
,
0
,
0
)
,
p
x
=
p
0
,
p
z
=
qEt
,
E
(
t
)
=
E
0
2
+
c
2
q
2
E
2
t
2
.
(1)
With the initial
position
at the origin,
z
(
t
)
=
qE
E
(
t
)
−
E
0
,
x
(
t
)
=
qE
c
p
0
arsinh
E
0
c
qEt
.
(2)
Ancestors
(6)
Relativistic energy-momentum relation
Four-momentum
Special relativity
Branch of physics
Physics
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Incoming links
(1)
Past exam of the mathematics course of the University of Cambridge
/
2023
/
ib
/
Paper 2
/
16D
/
d
/
Solution
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