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Spectral and polarization effects in deterministically nonperiodic multilayers containing optically anisotropic and gyrotropic materials
S. V. Zhukovsky, V. M. Galynsky
Influence of material anisotropy and gyrotropy on optical properties of fractal multilayer nanostructures is theoretically investigated. Gyrotropy is found to uniformly rotate the…
A Canonical Frame for Nonholonomic Rank Two Distributions of Maximal Class
Boris Doubrov, Igor Zelenko
In 1910 E. Cartan constructed the canonical frame and found the most symmetric case for maximally nonholonomic rank 2 distributions on a 5-dimensional manifold. We solve the analog…
A new method for calculation of traces of Dirac -matrices in Minkowski space
Alexander L. Bondarev
This paper presents some relations for orthonormal bases in the Minkowski space and isotropic tetrads constructed from the vectors of these bases. As an example of an application o…
Lowest order QED radiative corrections to longitudinally polarized Moller scattering
A. Ilyichev, V. Zykunov
The total lowest-order electromagnetic radiative corrections to the observables in Moller scattering of longitudinally polarized electrons have been calculated. The final expressio…
Crossed product of a C*-algebra by an endomorphism, coefficient algebras and transfer operators
A. B. Antonevich, V. I. Bakhtin, A. V. Lebedev
The paper presents a construction of the crossed product of a C*-algebra by an endomorphism generated by partial isometry
Invariant f-structures on the flag manifolds SO(n)/SO(2)xSO(n-3)
Vitaly V. Balashchenko, Anna Sakovich
We consider manifolds of oriented flags SO(n)/SO(2)xSO(n-3) (n>=4) as 4- and 6-symmetric spaces and indicate characteristic conditions for invariant Riemannian metrics under which…