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单词 least action, principle of
释义
least action, principle of

Mathematics
  • Consider a dynamical system with generalized coordinates q1, q2,…, qn, solely acted on by conservative forces, with Lagrangian L. The action as the system moves from position at time t1 to a position at time t2 equals

    S=t1t2L(q,q˙,t)dt.

    The principle of least action states that a trajectory of the dynamical system is an actual motion of the system if and only if the value of S is a stationary value. See also calculus of variations.


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