# Finding canonical transformation

1. Nov 29, 2015

### sayebms

1. The problem statement, all variables and given/known data
If in a system with i degrees of freedom the $$Q_i$$ are given what is the best way to proceed for finding the $$P_i$$ so that we have an overall canonical transformation. say for a two degree freedom system we have $$Q_1=q_1^2$$ and $$Q_2=q_1+q_2$$

2. Relevant equations
Using poisson brackets
3. The attempt at a solution
I think using the following would be the correct way to proceed:
[\itex][Q_i,Q_j]_{qp}=0[{P_1,P_2]_{qp}=0, [Q_i,P_j]=\delta _{ij} [\itex]
Am I right?

2. Dec 5, 2015