(a) Write an F2 generating function that will generate the general Lorentz transformation treated...

(a) Write an F2 generating function that
will generate the general Lorentz transformation treated

(b) Demonstrate that this F2 does indeed
generate both the Lorentz transformation and its inverse.

Consider the canonical transformation (a)
Find the proto-generating function f (q, p) which obeys eqn (18.1),

(b) Use f (q, p) to derive an F1(q, Q) generating function. What are the
conditions on the θi for this generating function to be valid? Use it to
re-derive the canonical transformation.

(c)
Use f (q, p) to derive an F2(q, P) generating
function. What are the conditions on the θi for this generating function
to be valid? Use it to re-derive the canonical transformation.