3 citations · 8 across the 9 of their papers we have counts for
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Conformal quantum space with Poincare group of motion
A. N. Leznov
It is shown that algebra of quantum space of the title of the present paper may be realized on usual unphysical Minkowskii one. Equations of field theory and there solutions are di…
Free motion in deformed (quantum) four-dimensional space
A. N. Leznov
It is shown that trajectories of free motion of the particles in deformed ("quantum") four dimensional space-time are quadratic curves.
Two-dimensional Ultra-Toda integrable mappings and chains (Abelian case)
A. N. Leznov
The new class of integrable mappings and chains is introduced. Corresponding (1+2) integrable systems invariant with respect to such discrete transformations are represented in exp…
Bäcklund transformation for integrable systems
A. N. Leznov
We establish an explicit form of the Backlund transformation for the most known integrable systems.
Local solutions of harmonical and bi-harmonical equations, Universal Field Equation and self-dual configurations of Yang--Mills fields in four dimensions
A. N. Leznov
A general method for the construction of solutions of the d'Alambertian and double d'Alambertian (harmonic and bi-harmonic) equations with local dependence of arbitrary functions u…
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…