canonical coordinates are sets of coordinates on phase space which can be used to describe a physical system at any given point in time. Canonical coordinates...

notation for some object Canonical basis – Basis of a type of algebraic structure Canonical coordinates, sets of coordinates that can be used to describe...

In Hamiltonian mechanics, a canonical transformation is a change of canonical coordinates (q, p) → (Q, P) that preserves the form of Hamilton's equations...

{\boldsymbol {q}})} is called phase space coordinates. (Also canonical coordinates). In phase space coordinates ( p , q ) {\displaystyle ({\boldsymbol {p}}...

In quantum mechanics, the canonical commutation relation is the fundamental relation between canonical conjugate quantities (quantities which are related...

(x,y)} be the standard Cartesian coordinates, and ( r , θ ) {\displaystyle (r,\theta )} the standard polar coordinates. x = r cos ⁡ θ y = r sin ⁡ θ ∂ (...

system. Generalized coordinates are paired with generalized momenta to provide canonical coordinates on phase space. Generalized coordinates are usually selected...

( q , p , t ) {\displaystyle H=H(q,p,t)} as one of the new canonical momentum coordinates. In a more general sense, the Poisson bracket is used to define...

coordinates are used in the Lagrangian treatment of mechanics. Canonical coordinates are used in the Hamiltonian treatment of mechanics. Barycentric...

In classical mechanics, action-angle variables are a set of canonical coordinates that are useful in characterizing the nature of commuting flows in integrable...