Alternative Lax structures for the classical and quantum Neumann model
Abstract
A Lax representation by sl(2, C) matrices, following from the geometrical formulation of Moser, is introduced for the Neumann model. Its Poisson bracket structure is given by the rational antisymmetric sl(2, C) Rmatrix. The quantum version of its determinant, suitably ordered, gives rise to commuting operators, exact counterparts of the classical Uhlenbeck conserved quantities.
 Publication:

Physics Letters B
 Pub Date:
 October 1991
 DOI:
 10.1016/03702693(91)90805Z
 Bibcode:
 1991PhLB..268..209A