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Hamiltonian of a charged particle in an electromagnetic field
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Physics
Branch of physics
Classical mechanics
Lagrangian mechanics
Charged-particle electromagnetic Lagrangian
2026-09-29
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The
Legendre transform
of the
charged-particle electromagnetic Lagrangian
is
H
(
x
,
p
,
t
)
=
2
m
[
p
−
q
A
(
x
,
t
)
]
2
+
qϕ
(
x
,
t
)
.
(1)
Ancestors
(6)
Charged-particle electromagnetic Lagrangian
Lagrangian mechanics
Classical mechanics
Branch of physics
Physics
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Past exam of the mathematics course of the University of Cambridge
/
2020
/
ii
/
Paper 4
/
34C
/
a
/
Solution
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