Hence, all its derivatives are also zero, and the transformed Hamilton's equations become trivial P ˙ = Q ˙ = 0 {\displaystyle {\dot {\mathbf {P} }}={\dot {\mathbf {Q} }}=0} so the new generalized coordinates and momenta are constants of motion.
Astfel că, toate derivatele sale sunt de asemenea zero, iar Hamiltonianul devine trivial: d P d t = d Q d t = 0 {\displaystyle {d\mathbf {P} \over dt}={d\mathbf {Q} \over dt}=0} adică, noile coordonate și impulsuri generalizate sunt constante.