21 citations · 74 across the 21 of their papers we have counts for
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Application of algebraic combinatorics to finite spin systems with dihedral symmetry
S. Buckiewicz, L. Dȩbski, W. Florek
Properties of a given symmetry group G are very important in investigation of a physical system invariant under its action. In the case of finite spin systems (magnetic rings, some…
Neel probability and spin correlations in some nonmagnetic and nondegenerate states of hexanuclear antiferromagnetic ring Fe6: Application of algebraic combinatorics to finite Heisenberg spin systems
Wojciech Florek, Sylwia Bucikiewicz
The spin correlations ω^z_r, r=1,2,3, and the probability p_N$ of finding a system in the Neel state for the antiferromagnetic ring Fe(III)6 (the so-called `small ferric wheel') ar…
Two-dimensional electron gas in a periodic potential and external magnetic field: states of pairs and three-particle systems
Wojciech Florek
The group-theoretical classification of states of identical particle pairs is presented. Then obtained states are coupled with those of an antiparticle to construct states of a thr…
The Group-Theoretical Classification of Some Multiparticle States in the Presence of Magnetic Field and Periodic Potential
W. Florek
The group-theoretical classification of multiparticle states(pairs of particles and charged excitons X^+-) is based on considerations of products of irreducible projective represen…
Combinatorial aspects of nanoscale magnetism
W. Florek, G. Kamieniarz, A. Caramico D'Auria +2
A finite spin system invariant under a symmetry group G is a very illustrative example of the finite group action on a set of mappings f:X->Y. In the case of spin systems X is a se…
Trions in a periodic potential
Wojciech Florek
The group-theoretical classification of trion states is presented. It is based on considerations of products of irreducible representations of the 2D translation group. For a given…
Magnetic translations for a spatially periodic magnetic field
Wojciech Florek
It is shown that in the case of free electron in a spatially periodic magnetic field the concept of magnetic translations operators is still valid and, moreover, these operators ca…
Algebraic description of a two-dimensional system of charged particles in an external magnetic field and periodic potential
Wojciech Florek
Properties of the magnetic translation operators for a charged particle moving in a crystalline potential and a uniform magnetic field show that it is necessary to consider all ine…
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…
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…
Kronecker products of projective representations of translation groups
Wojciech Florek
Projective irreps of (Z_N)^2 can be labelled by divisors n of N. A product of two irreps, labelled by n and n', can be decomposed into projective irreps labelled by M, where M stro…