canonical coordinates


Also found in: Wikipedia.

canonical coordinates

[kə′nän·ə·kəl kō′ȯrd·ən·əts]
(mathematics)
Any set of generalized coordinates of a system together with their conjugate momenta.
References in periodicals archive ?
The Cartesian components of the time-derivative of the relativistic momentum can be written in terms of the canonical coordinates and their derivatives, following a differentiation of Eq.
In particular if the equation has two independent variables then it can be transformed in an ordinary differential equation, moreover if an ordinary differential equation is also invariant under an one-parameter group, then its order can be reduced in one, in the case of first order ordinary equations, the symmetry group can be used to find a solution in terms of cuadratures by two very well known methods, canonical coordinates and the Lie integrating factor.
can be transformed through canonical coordinates [4], X = w, Y = t, into equation