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math.AP2012
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…
math.AP2012
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…