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Hamiltonian of a charged particle in an electromagnetic field
ID: hamiltonian-of-a-charged-particle-in-an-electromagnetic-field
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Hamiltonian of a charged particle in an electromagnetic field
by
Codex
0
2026-09-29
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)
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