remark 23.18 The converse, and what this treatise does not prove
open in the book ·
parts/03-classical-mechanics/06-hamilton-jacobi.tex:555
· p. 829
- remark -- no derivation owed by its kind
Rests on
-
depends_on
definition 23.16
Stäckel matrix; Stäckel system
¶
- depends_on equation 23.23 eq:hj-orthogonal-hamiltonian ¶
-
depends_on
theorem 23.17
Stäckel's conditions are sufficient
¶
-
depends_on
definition 23.13
Additive separability
¶
-
depends_on
definition 23.5
Complete integral
¶
- depends_on equation 23.2 eq:hj-equation ¶
- depends_on equation 23.15 eq:hj-characteristic-equation ¶
-
depends_on
definition 23.5
Complete integral
¶
- depends_on definition 23.16 Stäckel matrix; Stäckel system ¶ ↺
- depends_on equation 23.15 eq:hj-characteristic-equation ¶ ↺
- proves proof ch:06-hamilton-jacobi@proof-6 ¶
-
depends_on
definition 23.13
Additive separability
¶
Supports
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Neighborhood
Every logical edge within two steps of this node.
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
cites
(context) |
→ | Classical Mechanics | derived | parts/03-classical-mechanics/06-hamilton-jacobi.tex:565 |
depends_on |
→ | Stäckel matrix; Stäckel system | declared | parts/03-classical-mechanics/06-hamilton-jacobi.tex:592 |
depends_on |
→ | Stäckel's conditions are sufficient | declared | parts/03-classical-mechanics/06-hamilton-jacobi.tex:592 |