Normal forms for elements of o(p, q) and Hamiltonians with integrals linear in momenta Article (Web of Science)

abstract

  • AbstractWe solve the problem of finding a simultaneous matrix normal form for an element of the Lie algebra o(p, q) and the underlying indefinite inner product. The results are used to determine several classes of classical Hamiltonian dynamical systems which possess a first integral linear in the momentum variables.

publication date

  • 1992

webpage

published in

number of pages

  • 21

start page

  • 486

end page

  • 507

volume

  • 33

issue

  • 4