output
20132022
most citedCoupled harmonic oscillators and their quantum entanglement

71 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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6 papers · 1 filter

math.SP2018

Invariants for Laplacians on periodic graphs

E. Korotyaev, N. Saburova

We consider a Laplacian on periodic discrete graphs. Its spectrum consists of a finite number of bands. In a class of periodic 1-forms, i.e., functions defined on edges of the peri…

math.SP2017★ 13 cited

Spectral estimates for Schrödinger operators on periodic discrete graphs

E. Korotyaev, N. Saburova

We consider normalized Laplacians and their perturbations by periodic potentials (Schrödinger operators) on periodic discrete graphs. The spectrum of the operators consists of an a…

math.SP2017

Laplacians on periodic graphs with guides

Evgeny Korotyaev, Natalia Saburova

We consider Laplace operators on periodic discrete graphs perturbed by guides, i.e., graphs which are periodic in some directions and finite in other ones. The spectrum of the Lapl…

math.SP2015

Deficiency numbers of operators generated by infinite Jacobi matrices

I. N. Braeutigam, K. A. Mirzoev

Let be matrices, whose elements are complex numbers, are selfadjoint matrices and exist. We study the deficiency index prob…

math.SP2015★ 20 cited

Scattering on periodic metric graphs

Evgeny Korotyaev, Natalia Saburova

We consider the Laplacian on a periodic metric graph and obtain its decomposition into a direct fiber integral in terms of the corresponding discrete Laplacian. Eigenfunctions and…

math.SP2014

Estimates of bands for Laplacians on periodic equilateral metric graphs

Evgeny Korotyaev, Natalia Saburova

We consider Laplacians on periodic equilateral metric graphs. The spectrum of the Laplacian consists of an absolutely continuous part (which is a union of an infinite number of non…