Problems of Chapter 3: Mechanics of Trajectories
The following sections are included:
Problem 3–1: Canonical transformation to local system
Problem 3–2: Inverse of a symplectic matrix
Problem 3–3: Definition of a group
Problem 3–4: Unitary similarity transformations of Sp(2n)
Problem 3–5: Drift matrix
Problem 3–6: Symplectic constraints of a bend matrix
Problem 3-7: Quadrupole matrix
Problem 3–8: Solenoid matrix
Problem 3-9: Matrix for a tall rectangular solenoid
Problem 3–10: Zassenhaus formula
Problem 3–11: Cayley factorization