remark 23.50 The dictionary completed

open in the book · parts/03-classical-mechanics/06-hamilton-jacobi.tex:1711 · p. 843

remark -- no derivation owed by its kind

Rests on

depends_on proposition 23.49 The Hamilton–Jacobi equation is the leading order ¶
- depends_on equation 23.72 eq:hj-mechanical-eikonal ¶
- depends_on equation 23.66 eq:hj-transport ¶
- depends_on proposition 9.61 Eikonal and transport equations ¶
  - depends_on equation 9.64 eq:slt-wkb-series ¶
  - depends_on proposition 9.60 Exact Riccati form ¶
    - depends_on equation 9.62 eq:slt-wkb-ansatz ¶
    - depends_on equation 9.60 eq:slt-wkb-normal-form ¶
    - proves proof ch:07-odes-sturm-liouville@proof-30 ¶
  - proves proof ch:07-odes-sturm-liouville@proof-31 ¶
- proves proof ch:06-hamilton-jacobi@proof-15 ¶
depends_on proposition 9.65 Validity criterion ¶
- depends_on definition 9.64 Reduced de Broglie wavelength ¶
  - depends_on equation 9.60 eq:slt-wkb-normal-form ¶ ↺
- depends_on equation 9.64 eq:slt-wkb-series ¶ ↺
- depends_on proposition 9.61 Eikonal and transport equations ¶ ↺
- proves proof ch:07-odes-sturm-liouville@proof-34 ¶

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type	direction	node	provenance	where
`depends_on`	→	The Hamilton–Jacobi equation is the leading order	declared	parts/03-classical-mechanics/06-hamilton-jacobi.tex:1735
`depends_on`	→	Validity criterion	declared	parts/03-classical-mechanics/06-hamilton-jacobi.tex:1735