38 citations · 281 across the 52 of their papers we have counts for
4 papers · 1 filter
On the Hamiltonian reduction of geodesic motion on SU(3) to SU(3)/SU(2)
V. Gerdt, R. Horan, A. Khvedelidze +3
The reduced Hamiltonian system on T*SU(3)/SU(2)) is derived from a Riemannian geodesic motion on the SU(3) group manifold parameterised by the generalised Euler angles and endowed…
On application of involutivity analysis of differential equations to constrained dynamical systems
Vladimir Gerdt, Arsen Khvedelidze, Dimitar Mladenov
A brief sketch of computer methods of involutivity analysis of differential equations is presented in context of its application to study degenerate Lagrangian systems. We exemplif…
Light-cone SU(2) Yang-Mills theory and conformal mechanics
V. P. Gerdt, A. M. Khvedelidze, D. M. Mladenov
We examine the mechanical matrix model that can be derived from the SU(2) Yang-Mills light-cone field theory by restricting the gauge fields to depend on the light-cone time alone.…
Analysis of constraints in light-cone version of SU(2) Yang-Mills mechanics
V. P. Gerdt, A. M. Khvedelidze, D. M. Mladenov
We study the classical dynamics of mechanical model obtained from the light-cone version of SU(2) Yang-Mills field theory under the supposition of gauge potential dependence only o…