21 citations · 74 across the 21 of their papers we have counts for
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Magnetic translation groups as group extension
Wojciech Florek
Extensions of a direct product T of two cyclic groups Z_n1 and Z_n2 by an Abelian (gauge) group G with the trivial action of T on G are considered. All possible (nonequivalent) fac…
Magnetic translation groups in n dimensions
Wojciech Florek
Magnetic translation groups are considered as central extensions of the translation group T=Z^n by the group of factors (a~gauge group) U(1). The obtained general formulae allow to…
Mac Lane method in the investigation of magnetic translation groups
Wojciech Florek
Central extensions of the three-dimensional translation group T=Z^3 by the unitary group U(1) (a group of factors) are considered within the frame of the Mac~Lane method. All nonze…
Pairs of Bloch electrons and magnetic translation groups
Wojciech Florek
A product of irreducible representations of magnetic translation group is considered. It leads to irreducible representations which were previously rejected as nonphysical. A very…
Local gauge and magnetic translation groups
Wojciech Florek
The magnetic translation group was introduced as a set of operators T(R)=\exp[-iR.(p-eA/c)/\hbar]. However,these operators commute with the Hamiltonian for an electron in a periodi…
Combinatorics, wreath products, finite space groups and magnetism
Wojciech Florek, Stanislaw Walcerz
In this lecture some mathematical tools necessary for a proper description of the Heisenberg antiferromagnet are presented. We would like to point out differences between ferro- an…
The role of a form of vector potential - normalization of the antisymmetric gauge
Wojciech Florek, Stanislaw Walcerz
Results obtained for the antisymmetric gauge A=[Hy,-Hx]/2 by Brown and Zak are compared with those based on pure group-theoretical considerations and corresponding to the Landau ga…
Center of the charged particle orbit for any linear gauge
Wojciech Florek
In the case of a constant uniform magnetic field it can be assumed, without the loss of generality, that the vector potential (the gauge) is a linear function of position, i.e. it…