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Hamilton-Jacobi equation

  1. Feb 20, 2016 #1
    Is Hamilton-Jacobi Equation equivalent to Hamilton equations or it is only a necessary condition ?
    Thanks in advance :)
     
  2. jcsd
  3. Feb 20, 2016 #2

    BiGyElLoWhAt

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    Gold Member

    A quick google search finds:
    https://en.wikipedia.org/wiki/Hamilton–Jacobi_equation
    In mathematics, the Hamilton–Jacobi equation (HJE) is a necessary condition describing extremal geometry in generalizations of problems from the calculus of variations, and is a special case of the Hamilton–Jacobi–Bellman equation.[...]In physics, it is a formulation of classical mechanics, equivalent to other formulations such as Newton's laws of motion[citation needed], Lagrangian mechanics and Hamiltonian mechanics.
    Does that answer the question? Or am I missing something here?
     
  4. Feb 20, 2016 #3
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