Z. Hasiewicz et P. Siemion, NON-ABELIAN HARMONIC-OSCILLATORS AND CHIRAL THEORIES, Journal of physics. A, mathematical and general, 27(10), 1994, pp. 3501-3510
We show that a large class of physical theories which has been under i
ntensive investigation recently, share the same geometric features in
their Hamiltonian formulation These dynamical systems range from harmo
nic oscillations to wzw-like models and to the KdV dynamics on DiffS-0
(1). To the same class belong also the Hamiltonian systems on groups o
f maps. The common feature of these models are the 'chiral' equations
of motion allowing for so-called chiral decomposition of the phase spa
ce.