definition 23.16 Stäckel matrix; Stäckel system
open in the book ·
parts/03-classical-mechanics/06-hamilton-jacobi.tex:475
· p. 828
- ground object -- no derivation owed
Rests on
- depends_on equation 23.23 eq:hj-orthogonal-hamiltonian ¶
Supports
- depends_on remark 23.46 Carter's constant ¶
- depends_on remark 23.18 The converse, and what this treatise does not prove ¶
-
depends_on
theorem 23.17
Stäckel's conditions are sufficient
¶
- depends_on remark 23.18 The converse, and what this treatise does not prove ¶ ↺
- depends_on remark 23.19 The same conditions govern the Helmholtz equation ¶
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 |
→ | eq:hj-orthogonal-hamiltonian | declared | parts/03-classical-mechanics/06-hamilton-jacobi.tex:490 |
depends_on |
← | Carter's constant | declared | parts/03-classical-mechanics/06-hamilton-jacobi.tex:1548 |
depends_on |
← | The converse, and what this treatise does not prove | 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:513 |