equation 16.86 eq:calcvar-hamilton-action

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Supports

• depends_on definition 16.99 Abbreviated action ¶
  • depends_on definition 23.28 Action variables ¶
    • depends_on example 23.24 Harmonic oscillator ¶
    • depends_on proposition 23.38 Bohr–Sommerfeld and Einstein–Brillouin–Keller quantization ¶
      • depends_on remark 24.57 The half-integer, and the honest status of the construction ¶
    • depends_on proposition 24.56 The Bohr–Sommerfeld condition is a triviality condition on the prequantum holonomy ¶
      • depends_on remark 24.57 The half-integer, and the honest status of the construction ¶ ↺
    • depends_on remark 23.29 Convention ¶
    • depends_on remark 29.45 What integrability buys, and where it stops ¶
    • depends_on theorem 23.30 Motion in action–angle variables ¶
      • depends_on example 23.24 Harmonic oscillator ¶ ↺
      • depends_on theorem 23.34 Adiabatic invariance of the action ¶
        • depends_on example 23.35 The slowly stiffened oscillator ¶
        • depends_on example 23.27 Charged particle in a uniform magnetic field ¶
        • depends_on remark 23.36 How good the invariance really is ¶
        • depends_on remark 23.37 Why this matters observationally ¶
      • depends_on theorem 23.31 Liouville–Arnold ¶
        • depends_on proposition 24.56 The Bohr–Sommerfeld condition is a triviality condition on the prequantum holonomy ¶ ↺
        • depends_on remark 23.33 Integrability is exceptional ¶
        • depends_on remark 23.32 What that proof imports ¶
        • depends_on theorem 32.51 Kolmogorov–Arnold–Moser, quoted ¶
        • depends_on theorem 32.47 Poincaré's non-integrability, quoted ¶
    • depends_on theorem 23.34 Adiabatic invariance of the action ¶ ↺
  • depends_on proposition 23.10 The characteristic function is the abbreviated action ¶
    • depends_on remark 23.11 Whose principle, and where it fails ¶
• depends_on definition 16.107 Field action ¶
• depends_on theorem 16.97 Equivalence with Newton's second law ¶
  • depends_on definition 28.3 Simple harmonic oscillator ¶
  • depends_on proposition 19.71 The Newtonian closed system is a Lagrangian system ¶