Generating function, hamiltonian dynamics

[devd]

Homework Statement

A canonical transformation is made from (p,q) to (P,Q) through a generating function F=a*cot(Q), where 'a' is a constant. Express p,q in terms of P,Q.

Homework Equations

The Attempt at a Solution

A generating function is supposed to be a bridge between (p,q) and (P,Q), right? Now, if there is no functional dependence of F on p or q, that is the old variables, how is one supposed to find out the contact transformation asked for?

 

[Liquidxlax]

yeah that generating function doesn't make sense. It should be F(q,Q) F(p,Q)

it has to be a function of two variables which connect the transformation Which the given does not

 

[devd]

Thanks a lot! :)