We investigate the possibility of reproducing the observed polarization and Faraday rotation properties of spiral galaxies assuming their disks to be filled with regular helical magnetic fields. Both small-scale (< 1 kpc) flux tubes predicted by local hydrodynamicmodels and global, galaxy-scale (several kpc) fields generated by the dynamoprocess are considered. The large-scale fields are found ...

A multimode uncertainty relation (generalizing the Robertson-Schrödinger relation) is derived as a necessary constraint on the second moments of n pairs of canonical operators. In turn, necessary conditions for the separability of multimode continuous variable states under (m+n)-mode bipartitions are derived from the uncertainty relation. These conditions are proven to be necessary and sufficie...

We study relations between the two-parameter Uq(sl(n))-invariant deformation quantization on sl∗(n) and the reflection equation algebra. The latter is described by a quantum permutation on End(C) given explicitly. The reflection equation algebra is used for constructing the oneparameter quantization on coadjoint orbits, including symmetric and certain bisymmetric and nilpotent ones. Our approac...

Abstract: Elastic and geometric stiffness matrices were derived using Castigliano’s first theorem, for the case of torsion of restrained thin-walled bars of open constant bisymmetric crosssection. Functions which describe the angles of torsion were adopted from the solutions of the differential equation for restrained torsion. The exact solutions were simplified by expanding them in a power ser...

A new type of sl3 basic hypergeometric series based on Macdonald polynomials is introduced. Besides a pair of Macdonald polynomials attached to two different sets of variables, a key-ingredient in the sl3 basic hypergeometric series is a bisymmetric function related to Macdonald’s commuting family of q-difference operators, to the sl3 Selberg integrals of Tarasov and Varchenko, and to alternati...

We study relations between the two-parameter Uq(sl(n))-covariant deformation quantization on sl∗(n) and the reflection equation algebra. The latter is described by a quantum permutation on End(C) given explicitly. The reflection equation algebra is used for constructing the one-parameter quantization on coadjoint orbits, including symmetric, certain bisymmetric and nilpotent ones. Our approach ...

A 2 XB 2 = C 2 , there are some valuable efforts on solving a pair of the matrix equations with certain linear constraints on solution. For instance, Khatri and Mitra [7] derived the Hermitian solution of the consistent matrix equations AX = C, XB = D. Deng et al. [8] studied the consistent conditions and the general expressions about the Hermitian solutions of the matrix equations (AX,XB) = (C...