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Higher Symmetries of Toda Equations
Khazret S. Nirov, Alexander V. Razumov
The symmetries of the simplest non-abelian Toda equations are discussed. The set of characteristic integrals whose Hamiltonian counterparts form a W-algebra, is presented.
Dirac versus reduced phase space quantization
Mikhail S. Plyushchay, Alexander V. Razumov
The relationship between the Dirac and reduced phase space quantizations is investigated for spin models belonging to the class of Hamiltonian systems having no gauge conditions. I…
The Canonical Symmetry and Hamiltonian Formalism. II. Hamiltonian Operators
A. N. Leznov, A. V. Razumov
It is shown how the canonical symmetry is used to look for the hierarchy of the Hamiltonian operators relevant to the system under consideration. It appears that only the invarianc…
The Canonical Symmetry and Hamiltonian Formalism. I. Conservation Laws
A. N. Leznov, A. V. Razumov
The properties of the canonical symmetry of the nonlinear Schrödinger equation are investigated. The densities of the local conservation laws for this system are shown to change un…