Published in Journal of Optics
We construct localized beams in a non-Hermitian Glauber Fock (NGF) lattice of coupled waveguides and show that they can propagate over a long distance withalmost no diffraction. We specifically obtain the diffraction-free beams in a finite NGF lattice at the exceptional point (EP) by using the exact eigenstates of the semi-infinite unidirectional N...
Published in Journal of Physics A: Mathematical and Theoretical
The parastatistics Fock spaces of order p corresponding to an infinite number of parafermions and parabosons with relative paraboson relations are constructed. The Fock spaces are lowest weight representations of the Z2×Z2 -graded Lie superalgebra pso(∞|∞) , with a basis consisting of row-stable Gelfand–Zetlin patterns.
When calculating scattering amplitudes in gauge and gravitational theories one encounters infrared (IR) divergences associated with massless fields. These are known to be artifacts of constructing a quantum field theory starting with free fields, and the assumption that in the asymptotic limit (i.e. well before and after a scattering event) the inc...
When the relative commutation relations between a set of m parafermions and n parabosons are of 'relative parafermion type', the underlying algebraic structure is the classical orthosymplectic Lie superalgebra (LSA) osp(2m + 1|2n). The relative commutation relations can also be chosen differently, of 'relative paraboson type'. In this second case, ...
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Published in Journal of computational chemistry
We present the implementation of the cyclic cluster model (CCM) formalism at the Hartree-Fock (HF) level. In contrast to other periodic models, the CCM is a Γ-point approach. Integration is carried out in real space within a finite interaction area determined by the size and the shape of the cluster that corresponds to a supercell of the solid, sur...
Le travail présenté consiste au développement d une approche de type champ moyen auto-cohérent relativiste traitant explicitement les contributions d échange pour la description des noyaux déformés et superfluides (approche Hartree-Fock-Bogoliubov relativiste en symétrie axiale). Le choix d une formulation covariante n est pas lié au besoin d une c...
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