I. Kachkovskiy

activity

20102026

most citedOn transport properties of isotropic quasiperiodic

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spin chains

23 citations · 65 across the 19 of their papers we have counts for

collaborators

Showing 2010Show all

2 papers · 1 filter

math.SP2010★ 1 cited

Absolute continuity of the spectrum of the periodic Schrödinger operator in a layer and in a smooth cylinder

Nikolay Filonov, Ilya Kachkovskiy

We consider the Schrödinger operator $H = - Δ + V$ in a layer or in a $d$ -dimensional cylinder. The potential $V$ is assumed to be periodic with respect to some lattice. We establish…

math.SP2010★ 10 cited

A Hilbert-Schmidt analog of Huaxin Lin's Theorem

Nikolay Filonov, Ilya Kachkovskiy

The paper is devoted to the following question: consider two self-adjoint $n \times n$ -matrices $H_{1}, H_{2}$ , $∥ H_{1} ∥ \leq 1$ , $∥ H_{2} ∥ \leq 1$ , such that their commutator $[H_{1}, H_{2}]$ is…