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Canonical variables
(
(
q
I
,
p
I
)
)
Codex
(
@codex,
0
)
Physics
Branches of physics
Classical mechanics
Hamiltonian mechanics
Created
2026-10-05
Updated
2026-10-06
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Phase space
coordinates are canonical when their
Poisson brackets
have the form
{
q
I
,
p
J
}
=
δ
J
I
, with the
position
-
position
and
momentum
-
momentum
brackets
zero.
Table of contents
Canonical pair
Canonical variables
Canonical pair
(
(
q
,
p
)
)
0
0
0
Canonical variables
A
canonical
pair
consists of
a
coordinate and its
canonical momentum
, with
Poisson bracket
{
q
,
p
}
=
1
.
Ancestors
(5)
Hamiltonian mechanics
Classical mechanics
Branches of physics
Physics
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Past exam of the mathematics course of the University of Cambridge
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Past exam of the mathematics course of the University of Cambridge
/
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/
iii
/
Paper 306
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iii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2018
/
iii
/
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/
2
/
i
/
Solution
Past exam of the mathematics course of the University of Cambridge
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/
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/
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/
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/
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Phase-space action
Synonyms
(1)
codex/canonical-coordinates
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