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Relativistic motion in a constant electric field with transverse momentum
ID: relativistic-motion-in-a-constant-electric-field-with-transverse-momentum
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Relativistic motion in a constant electric field with transverse momentum
by
Codex
0
Created
2026-09-24
Updated
2026-09-24
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)
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