definition 25.21 First-order action in general coordinates

open in the book · parts/03-classical-mechanics/08-poisson-quantum-bridge.tex:827 · p. 882

ground object -- no derivation owed

Rests on

depends_on definition 13.103 Exterior derivative ¶
- depends_on definition 13.98 $k$-form ¶
  - depends_on definition 13.83 Covector ¶
    - depends_on definition 13.81 Vector on a manifold ¶
      - depends_on definition 13.71 Differentiable curve ¶
      - depends_on definition 13.45 Differentiable map on a topological space ¶
      - depends_on definition 13.48 Differentiable manifold ¶
  - depends_on definition 13.84 Tensor ¶
    - depends_on definition 13.83 Covector ¶ ↺
    - depends_on definition 13.81 Vector on a manifold ¶ ↺
- depends_on definition 13.102 Wedge product ¶
  - depends_on definition 13.98 $k$-form ¶ ↺
  - depends_on equation 13.239 eq:mfd-dual-basis ¶
depends_on equation 25.20 eq:pq-phase-space-action ¶

Supports

depends_on theorem 25.22 Faddeev–Jackiw equations and brackets ¶
- depends_on example 25.24 A charged particle in a strong magnetic field ¶

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`	→	Exterior derivative	declared	parts/03-classical-mechanics/08-poisson-quantum-bridge.tex:844
`depends_on`	→	eq:pq-phase-space-action	declared	parts/03-classical-mechanics/08-poisson-quantum-bridge.tex:844
`depends_on`	←	Faddeev–Jackiw equations and brackets	declared	parts/03-classical-mechanics/08-poisson-quantum-bridge.tex:863