equation 21.37 eq:lag-lagrangian
open in the book ·
parts/03-classical-mechanics/04-lagrangian-mechanics.tex:843
- part of a statement or proof
Rests on
No declared or derived dependency edges point away from this node yet.
Supports
-
depends_on
definition 21.45
Action
¶
-
depends_on
definition 22.15
Canonical transformation
¶
- depends_on proposition 22.17 Transformation conditions ¶
-
depends_on
proposition 22.18
The mixed generating functions
¶
-
depends_on
definition 23.2
Hamilton's principal function and the Hamilton–Jacobi
equation
¶
- depends_on remark 23.12 Two functions, two roles ¶
-
depends_on
proposition A.556
The Jacobian of the actions is the lattice matrix
¶
- depends_on example A.557 The check that fixes the convention ¶
- depends_on remark 22.19 Which form exists ¶
-
depends_on
theorem 23.30
Motion in action–angle variables
¶
- depends_on example 23.24 Harmonic oscillator ¶
- depends_on theorem 23.34 Adiabatic invariance of the action ¶
- depends_on theorem 23.31 Liouville–Arnold ¶
-
depends_on
definition 23.2
Hamilton's principal function and the Hamilton–Jacobi
equation
¶
- depends_on remark 22.16 Why the class is larger than the point transformations ¶
-
depends_on
definition 22.15
Canonical transformation
¶
- depends_on theorem 21.32 Lagrange equations ¶
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 |
← | Action | declared | parts/03-classical-mechanics/04-lagrangian-mechanics.tex:1238 |
depends_on |
← | Lagrange equations | declared | parts/03-classical-mechanics/04-lagrangian-mechanics.tex:861 |