- #1
kolawoletech
- 4
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Homework Statement
How do I go about finding the most general form of the canonical transformation of the form
Q = f(q) + g(p)
P = c[f(q) + h(p)]
where f,g and h are differential functions and c is a constant not equal to zero. Where (Q,P) and (q,p) represent the generalised cordinates and conjugate momentum in the new and old system
Homework Equations
{Q,Q}={P,P}=0 {Q,P}=1
The Attempt at a Solution
I arrived at a function
c.f'(q)[h'(p)-g'(p)]=1
I don't know how to get further to prove canonicity