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222 papers · 1 filter
Superintegrable 2D systems in magnetic fields with a parabolic type integral
Tatiana Ekelchik, Antonella Marchesiello
We consider the problem on the existence of two dimensional superintegrable systems in the presence of a magnetic field in the two dimensional Euclidean space. We assume the existe…
Surface-Polyconvex Models for Soft Elastic Solids
Martin Horák, Michal Šmejkal, Martin Kružík
Soft solids with surface energy exhibit complex mechanical behavior, necessitating advanced constitutive models to capture the interplay between bulk and surface mechanics. This in…
Spectral analysis of metamaterials in curved manifolds
Tomáš Faikl
Negative-index metamaterials possess a negative refractive index and thus present an interesting substance for designing uncommon optical effects such as invisibility cloaking. Thi…
Superintegrable families of magnetic monopoles with non-radial potential in curved background
Antonella Marchesiello, Daniel Reyes, Libor Šnobl
We review some known results on the superintegrability of monopole systems in the three-dimensional (3D) Euclidean space and in the 3D generalized Taub-NUT spaces. We show that the…
Coupling and Recoupling Coefficients for Wigner's U(4) Supermultiplet Symmetry
Phong Dang, Jerry P. Draayer, Feng Pan +5
A novel procedure for evaluating Wigner coupling coefficients and Racah recoupling coefficients for U(4) in two group-subgroup chains is presented. The canonical U(4)->U(3)->U(2)->…
Bifurcation sequences in the secular 3D planetary 3-Body problem: a geometric approach
Rita Mastroianni, Antonella Marchesiello, Christos Efthymiopoulos +1
We implement the geometric method proposed in ([9], [3], [16]) to analytically predict the sequence of bifurcations leading to a change of stability and/or the appearance of new pe…