proposition 25.46 Normal ordering disagrees already at degree two

open in the book · parts/03-classical-mechanics/08-poisson-quantum-bridge.tex:1654 · p. 891

Rests on

depends_on definition 25.44 Weyl and normal ordering ¶
- depends_on definition 25.42 Ordering rule ¶
  - depends_on corollary 25.41 Quantization is not a functor ¶
    - depends_on theorem 25.38 Groenewold–van Hove ¶
      - depends_on equation 25.31 eq:pq-dirac-rule ¶
      - depends_on theorem 25.34 Stone–von Neumann ¶
      - depends_on theorem 5.160 Schur's second lemma ¶
      - proves proof ch:08-poisson-quantum-bridge@proof-16 ¶
  - depends_on postulate 25.27 Dirac's correspondence rule ¶
    - depends_on equation 22.41 eq:ham-poisson-bracket ¶
    - depends_on theorem 25.3 The bracket is a Lie bracket ¶
      - depends_on equation 22.41 eq:ham-poisson-bracket ¶ ↺
      - depends_on equation 22.56 eq:ham-symplectic-matrix ¶
      - proves proof ch:08-poisson-quantum-bridge@proof-1 ¶
depends_on equation 25.40 eq:pq-forced-quadratic ¶
proves proof ch:08-poisson-quantum-bridge@proof-18 ¶

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type	direction	node	provenance	where
`depends_on`	→	Weyl and normal ordering	declared	parts/03-classical-mechanics/08-poisson-quantum-bridge.tex:1670
`depends_on`	→	eq:pq-forced-quadratic	declared	parts/03-classical-mechanics/08-poisson-quantum-bridge.tex:1670
`proves`	←	ch:08-poisson-quantum-bridge@proof-18	declared	parts/03-classical-mechanics/08-poisson-quantum-bridge.tex:1673