Generalized Hamiltonian dynamics

1973
9 pages
Published in:
  • Phys.Rev.D 7 (1973) 2405-2412

Citations per year

197319861999201220250102030
Abstract: (APS)
Taking the Liouville theorem as a guiding principle, we propose a possible generalization of classical Hamiltonian dynamics to a three-dimensional phase space. The equation of motion involves two Hamiltonians and three canonical variables. The fact that the Euler equations for a rotator can be cast into this form suggests the potential usefulness of the formalism. In this article we study its general properties and the problem of quantization.
Note:
  • In *Eguchi, T. (ed.), Nishijima, K. (ed.): Broken symmetry*
  • mechanics: classical
  • Hamiltonian formalism
  • quantization
  • phase space
  • algebra: Lie
  • commutation relations