131 citations · 330 across the 50 of their papers we have counts for
4 papers · 1 filter
Effective Willis constitutive equations for periodically stratified anisotropic elastic media
A. L. Shuvalov, A. A. Kutsenko, A. N. Norris +1
A method to derive homogeneous effective constitutive equations for periodically layered elastic media is proposed. The crucial and novel idea underlying the procedure is that the…
Spectral estimates for 2D periodic Jacobi operators
Anton A. Kutsenko
For 2D periodic Jacobi operators we obtain the estimate of the Lebesgue measure of the spectrum and estimates of edges of spectral bands.
Sharp spectral estimates for periodic matrix-valued Jacobi operators
Anton A. Kutsenko
For the periodic matrix-valued Jacobi operator we obtain the estimate of the Lebesgue measure of the spectrum $|\s(J)|\le4 \min_n\Tr(a_na_n^*)^\frac12$, where are off-dia…
Zigzag nanoribbons in external electric and magnetic fields
Evgeny L. Korotyaev, Anton A. Kutsenko
We consider the Schrödinger operators on zigzag nanoribbons (quasi-1D tight-binding models) in external magnetic fields and an electric potential . The magnetic field is perpend…