equation 22.42 eq:ham-poisson-matrix
open in the book ·
parts/03-classical-mechanics/05-hamiltonian-mechanics.tex:969
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Supports
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depends_on
proposition 22.32
Duality of the two brackets
¶
- depends_on remark 22.33 What the duality is good for ¶
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depends_on
proposition 22.30
Properties of the Poisson bracket
¶
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depends_on
remark 22.31
The bracket is a Lie algebra structure
¶
- depends_on remark 22.39 Poisson's theorem does not manufacture new constants ¶
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depends_on
remark 22.31
The bracket is a Lie algebra structure
¶
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depends_on
theorem 24.18
Symplectic form of the transformation condition
¶
- depends_on corollary 24.19 Canonical transformations preserve phase volume ¶
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
← | Duality of the two brackets | declared | parts/03-classical-mechanics/05-hamiltonian-mechanics.tex:1120 |
depends_on |
← | Properties of the Poisson bracket | declared | parts/03-classical-mechanics/05-hamiltonian-mechanics.tex:1003 |
depends_on |
← | Symplectic form of the transformation condition | declared | parts/03-classical-mechanics/07-symplectic-geometry.tex:549 |