equation 22.53 eq:ham-eom-p

open in the book · parts/03-classical-mechanics/05-hamiltonian-mechanics.tex:1227

Rests on

Supports

Nothing declares a dependency on this node yet.

Neighborhood

Every logical edge within two steps of this node.

equation 22.53: eq:ham-eom-p22.53equation 22.51: eq:ham-evolution-static22.51equation 22.44: eq:ham-poisson-fundamental22.44proposition 23.20: Separability implies integrability23.20proposition 25.29: Canonical commutation relations25.29proposition 25.12: The algebra of generators closes25.12

Edges

typedirectionnode provenancewhere
step_from eq:ham-evolution-static declared — taking $U=q^{a}$ and $U=p_{a}$, whose brackets with $\Ham$ reduce to a single term by \cref{eq:ham-poisson-fundamental} parts/03-classical-mechanics/05-hamiltonian-mechanics.tex:1233
step_from eq:ham-poisson-fundamental declared — taking $U=q^{a}$ and $U=p_{a}$, whose brackets with $\Ham$ reduce to a single term by \cref{eq:ham-poisson-fundamental} parts/03-classical-mechanics/05-hamiltonian-mechanics.tex:1233