equation 5.144 eq:lin-symplectic-normal-form

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Supports

• depends_on theorem A.68 Darboux ¶
  • depends_on corollary A.69 No local invariants ¶
    • depends_on remark 24.13 What Darboux's theorem forbids ¶
  • depends_on example A.80 The phase space of one particle in space ¶
  • depends_on theorem 24.12 Darboux ¶
    • depends_on definition 24.20 Liouville volume ¶
      • depends_on proposition 26.25 The Liouville measure of a second-class surface ¶
        • depends_on proposition A.619 The Dirac bracket is a projected Hamiltonian flow ¶
        • depends_on remark 26.26 What the factor is doing ¶
      • depends_on theorem 24.21 Liouville ¶
        • depends_on example 24.29 A volume-preserving squeeze ¶
        • depends_on proposition 32.40 A Hamiltonian section preserves area ¶
        • depends_on remark 22.25 This is Liouville's theorem ¶
        • depends_on remark 24.22 Liouville's theorem is the foundation of statistical mechanics ¶
        • depends_on theorem 23.31 Liouville–Arnold ¶
        • depends_on theorem 25.57 The Moyal equation, and its classical limit ¶
        • depends_on theorem 24.24 Poincaré recurrence ¶
      • depends_on theorem 24.24 Poincaré recurrence ¶ ↺
    • depends_on remark 24.13 What Darboux's theorem forbids ¶ ↺