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Key words: soliton cellular automaton; crystal basis; combinatorial Bethe ansatz; inverse scattering/spectral method; tropical Riemann theta function.. 2010 Mathematics
By this way, formal application of the Dirac method to Grassmann mechanics with constraints allows one to describe both nonrelativistic and relativistic spinning particle on an
Each Hamiltonian generates a bosonic (even) symmetry flow and due to the fact that supersymmetry is just a symmetry, it is natural to expect the presence of conserved supercharges
On a general basis, let us emphasize that noncommutative quantum field theories (for a gene- ral review, see for example [ 5 ]) can be interpreted as limits of matrix models or
Altogether, we obtained a multitrace matrix model whose partition function approximates the partition function of fuzzy scalar field theory on complex projective space up to order O (
Key words: AKNS hierarchy; negative flows; Miura transformation; bidifferential graded algebra; Heisenberg magnet; mKdV; NLS; sine-Gordon; vector short pulse equation; matrix
From a classical point of view these systems are characterized by the so called “closed or- bit property” for bounded motions, and from a quantum point of view these systems present
A GBDT version of the B¨acklund–Darboux transformation is constructed for a non-isospectral canonical system, which plays essential role in the theory of random matrix models..
