2 citations · 4 across the 5 of their papers we have counts for
5 papers
On group properties and reality conditions of UOSp(1|2) gauge transformations
Kostyantyn Ilyenko
For osp(1|2;C) graded Lie algebra, which proper Lie subalgebra is su(2), we consider the Baker-Campbell-Hausdorff formula and formulate a reality condition for the Grassmann-odd tr…
Hybrid Planar FEM in Magnetoresonance Regime: Control of Dynamical Chaos
Vitaliy A. Goryashko, Kostyantyn Ilyenko, Anatoliy Opanasenko
We establish the influence of nonlinear electron dynamics in the magnetostatic field of a hybrid planar free-electron maser on its gain and interaction efficiency. Even for the `id…
Adjoint representation of the graded Lie algebra osp(2/1; C) and its exponentiation
K. Ilyenko
We construct explicitly the grade star Hermitian adjoint representation of osp(2/1; C) graded Lie algebra. Its proper Lie subalgebra, the even part of the graded Lie algebra osp(2/…
Field strength for graded Yang-Mills theory
Kostyantyn Ilyenko
The field strength is defined for the orthosymplectic non-degenerate graded Lie algebra on three even and two odd generators. We show that a pair of Grassman-odd scalar fields find…
Spin Splitting in Quantum Wires with Perturbed Axial Symmetry
A. D. Bochevarov, K. Ilyenko
We investigate theoretically perturbations to the confining potential capable of lifting spin degeneracy in axially symmetric quasi-one-dimensional electron gases with the spin-orb…