definition 26.16 Extended Hamiltonian

Rests on

• depends_on definition 26.8 Total Hamiltonian ¶
  • depends_on definition 22.29 Poisson bracket ¶
    • depends_on definition 7.97 Partial derivative; gradient ¶
      • depends_on definition 7.26 Derivative of a function at a point ¶
        • depends_on definition 7.16 Limit ¶
        • depends_on definition 7.9 Real function ¶
      • depends_on definition 5.15 Basis ¶
        • depends_on definition 5.12 Subspace generated by a set of vectors ¶
        • depends_on definition 5.14 Linear independence ¶
    • depends_on definition 22.14 Phase-space coordinate transformation ¶
      • depends_on definition 22.2 Hamiltonian ¶
        • depends_on definition 21.34 Generalized momentum ¶
        • depends_on definition 21.31 Lagrangian ¶
  • depends_on proposition 26.6 The canonical Hamiltonian is defined on the constraint surface ¶
    • depends_on equation 26.4 eq:cd-canonical-hamiltonian ¶
    • depends_on proposition 26.5 Primary constraints ¶
      • depends_on definition 26.3 Singular Lagrangian ¶
        • depends_on equation 22.2 eq:ham-hessian ¶
        • depends_on proposition 22.3 Invertibility of the Legendre map ¶
      • depends_on remark 26.4 The constant-rank theorem is owed by Part II ¶
      • proves proof ch:09-constrained-hamiltonian-dynamics@proof-1 ¶
    • proves proof ch:09-constrained-hamiltonian-dynamics@proof-2 ¶
• depends_on theorem 26.14 First-class constraints generate gauge transformations ¶
  • depends_on definition 26.8 Total Hamiltonian ¶ ↺
  • depends_on proposition 26.10 The four outcomes ¶
    • depends_on definition 26.9 Consistency conditions ¶
      • depends_on equation 26.7 eq:cd-evolution ¶
      • depends_on equation 26.2 eq:cd-primary ¶
    • depends_on remark 26.7 The regularity assumption, stated once ¶
    • proves proof ch:09-constrained-hamiltonian-dynamics@proof-3 ¶
  • proves proof ch:09-constrained-hamiltonian-dynamics@proof-5 ¶

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