Following is the question.(adsbygoogle = window.adsbygoogle || []).push({});

Using Hamilton’s equations of motion for a set on N interacting particles demonstrate that total linear momentum (P = Sigma pi, i : 1 to N) is a constant of motion. Assume the particles interact via a potential of the form: V({ri}).

I am having a hard time figuring out the method to start the problem with. Do i start with the Hamiltonian H({ri}{pi}) = V({ri}) + Sigma(pi*t^2/2mi) where i goes from 1 to 3N.

Then i take the time derivitive of the the Hamiltonian to end with the conservation of energy. But i do not understand how i can say that the linear momentum is conserved. Please help me.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Derivation of Momentum as a Constant of motiion

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**