7 papers
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…
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…
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…
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…