28 citations · 59 across the 21 of their papers we have counts for
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Spectral flow for Aharonov--Bohm rings generated by zero-mass lines
Timur Tudorovskiy, Vladimir E. Nazaikinskii, Mikhail I. Katsnelson
We found that the spectrum of the linear dispersion mode localized along the zero-mass line for variable mass Dirac fermions shows the nonzero spectral flow as a function of the ex…
The Aharonov-Bohm effect for massless Dirac fermions and the spectral flow of Dirac type operators with classical boundary conditions
M. I. Katsnelson, V. E. Nazaikinskii
We compute, in topological terms, the spectral flow of an arbitrary family of self-adjoint Dirac type operators with classical (local) boundary conditions on a compact Riemannian m…
Functions of noncommuting operators in an asymptotic problem for a 2D wave equation with variable velocity and localized right-hand side
S. Dobrokhotov, D. Minenkov, V. Nazaikinskii +1
We use the theory of functions of noncommuting operators (noncommutative analysis) to solve an asymptotic problem for a partial differential equation and show how, starting from ge…