conjugate momentum


Also found in: Wikipedia.

conjugate momentum

[′kän·jə·gət mə′men·təm]
(mechanics)
If qj (j = 1,2, …) are generalized coordinates of a classical dynamical system, and L is its Lagrangian, the momentum conjugate to qj is pj = ∂ L /∂ qj. Also known as canonical momentum; generalized momentum.
References in periodicals archive ?
Technically, every symmetry selects a constant conjugate momentum since, by the Euler-Lagrange equations we get
and the existence of a constant conjugate momentum means that a cyclic variable (a symmetry) exists.