You are given the transformation P = Bq² Q = ap q a. Find the partial derivatives of the old variables q and p with respect ti the new ones Q and P b. Find the condition under which the new variables satisfy Hamilton's equations: i.e., the condition which makes the transformation canonical. Write down the tranformation equations Find a generating function of one of the 4 basic the types that leads to transformation. C.

You are given the transformation P = Bq² Q = ap q a. Find the partial derivatives of the old variables q and p with respect ti the new ones Q and P b. Find the condition under which the new variables satisfy Hamilton's equations: i.e., the condition which makes the transformation canonical. Write down the tranformation equations Find a generating function of one of the 4 basic the types that leads to transformation. C.