remark 22.16 Why the class is larger than the point transformations
open in the book ·
parts/03-classical-mechanics/05-hamiltonian-mechanics.tex:396
· p. 809
- remark -- no derivation owed by its kind
Rests on
-
depends_on
definition 22.15
Canonical transformation
¶
-
depends_on
definition 22.14
Phase-space coordinate transformation
¶
-
depends_on
definition 22.2
Hamiltonian
¶
- depends_on definition 21.34 Generalized momentum ¶
- depends_on definition 21.31 Lagrangian ¶
-
depends_on
definition 22.2
Hamiltonian
¶
-
depends_on
definition 21.45
Action
¶
-
depends_on
definition 16.96
Action; Hamilton's principle
¶
- depends_on definition 21.31 Lagrangian ¶ ↺
- depends_on equation 16.11 eq:calcvar-basic-functional ¶
- depends_on equation 21.37 eq:lag-lagrangian ¶
-
depends_on
definition 16.96
Action; Hamilton's principle
¶
-
depends_on
theorem 22.6
Hamilton's equations
¶
- depends_on definition 22.2 Hamiltonian ¶ ↺
- depends_on equation 21.39 eq:lag-el-conservative ¶
- depends_on equation 21.43 eq:lag-generalized-momentum ¶
- proves proof ch:05-hamiltonian-mechanics@proof-2 ¶
-
depends_on
definition 22.14
Phase-space coordinate transformation
¶
- depends_on definition 21.60 Point transformation ¶
Supports
Nothing declares a dependency on this node yet.
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Canonical transformation | declared | parts/03-classical-mechanics/05-hamiltonian-mechanics.tex:407 |
depends_on |
→ | Point transformation | declared | parts/03-classical-mechanics/05-hamiltonian-mechanics.tex:407 |