conjugate momentum

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 ?
where pr (i,t) is the conjugate momentum and can be determined from the relation
in terms of the conjugate momentum (p), the Hamiltonian density is
The Hamiltonian is expressed as a series expansion in terms of surface deformation coordinates and a conjugate momentum.
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.