In our discussion of canonical transformations (CTs) so far, the specific Hamiltonian of the system played no role. A transformation is canonical irrespective of what the HamiltonianHamiltonian may be. Among canonical systems of coordinates and momenta on phase space, those which admit more cyclic coordinatesCoordinatecyclic for a given Hamiltonian are more suited to solving Hamilton’s equationsHamilton’sequations for the given system.

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Angle-Action Variables

  • Govind S. Krishnaswami

摘要

In our discussion of canonical transformations (CTs) so far, the specific Hamiltonian of the system played no role. A transformation is canonical irrespective of what the HamiltonianHamiltonian may be. Among canonical systems of coordinates and momenta on phase space, those which admit more cyclic coordinatesCoordinatecyclic for a given Hamiltonian are more suited to solving Hamilton’s equationsHamilton’sequations for the given system.