Effects of quark interactions on dynamical chiral symmetry breaking by a magnetic field.
Eigenvectors of open Bazhanov-Stroganov quantum chain.
Einstein-Riemann gravity on deformed spaces.
Electroweak interaction model with an undegenerate double symmetry.
Entanglement of Grassmannian coherent states for multi-partite -level systems.
Entwining Yang-Baxter maps and integrable lattices
Yang-Baxter (YB) map systems (or set-theoretic analogs of entwining YB structures) are presented. They admit zero curvature representations with spectral parameter depended Lax triples L₁, L₂, L₃ derived from symplectic leaves of 2 × 2 binomial matrices equipped with the Sklyanin bracket. A unique factorization condition of the Lax triple implies a 3-dimensional compatibility property of these maps. In case L₁ = L₂ = L₃ this property yields the set-theoretic quantum Yang-Baxter equation, i.e. the...
Erratum to “Non-trapping condition for semiclassical Schrödinger operators with matrix-valued potentials”.
États cohérents, théorie spectrale et représentations de groupes nilpotents
Exact solutions and symmetry operators for the nonlocal Gross-Pitaevskii equation with quadratic potential.
Exotic galilean symmetry and non-commutative mechanics.
Exponentiations over the quantum algebra
We define and compare, by model-theoretical methods, some exponentiations over the quantum algebra . We discuss two cases, according to whether the parameter is a root of unity. We show that the universal enveloping algebra of embeds in a non-principal ultraproduct of , where varies over the primitive roots of unity.
Extension of the Poincaré symmetry and its field theoretical implementation.
Extension techniques in -cross products by compact group duals and in quantum field theory.