A generating function of the second type is F_2(q,P) = 13 q^3 P.

PHYSICS · Multi-part · Fermi University Physics · Mechanics & Dynamical Systems · Hamiltonian mechanics and canonical structure · Hamiltonian mechanics and canonical structure

Action and Symmetry, Ch Canonical transformations, generating functions and symplectic structure

Problem

A generating function of the second type is

F_2(q,P) = \tfrac13 q^3 P.

((a)) Find

p

in terms of

q

and

P

. ((b)) Find

Q

in terms of

q

and

P

. ((c)) Eliminate

P

to express

Q

and

P

both as functions of

q

and

p

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