# How to determine what is conserved given a hamilitonian

1. Oct 9, 2015

### AverageJoePHSX

1. The problem statement, all variables and given/known data
Given the Hamiltonian's determine what quantities are conserved. These are labeled H1 and H2 in the picture.

2. Relevant equations
The relevant equations are q'=dH/dp and p'=-dH/dq

3. The attempt at a solution
My attempt is below

ignore the negative sign for q' in H2

Last edited: Oct 9, 2015
2. Oct 9, 2015

### Daeho Ro

Well, looks fine. But, in second problem, one of the $\dot{P}_i$ should be positive and so the total momentum variation will be zero.