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Problems of Chapter 3: Mechanics of Trajectories

      https://doi.org/10.1142/9789814299008_0003Cited by:0 (Source: Crossref)
      Abstract:

      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