46 citations · 432 across the 37 of their papers we have counts for
37 papers
Asymmetric harmonic oscillator
Goce Chadzitaskos, Jiri Patera
The solution of one--dimensional asymmetric quantum harmonic oscillator is presented. The asymmetry can be realized, for example, by using two springs, one spring is glued with the…
Nested polyhedra and indices of orbits of Coxeter groups of non-crystallographic type
Mariia Myronova, Jiri Patera, Marzena Szajewska
The invariants of finite-dimensional representations of simple Lie algebras, such as even-degree indices and anomaly numbers, are considered in the context of the non-crystallograp…
On E-Discretization of Tori of Compact Simple Lie Groups: II
Jiří Hrivnák, Michal Juránek
Ten types of discrete Fourier transforms of Weyl orbit functions are developed. Generalizing one-dimensional cosine, sine and exponential, each type of the Weyl orbit function repr…
Group theoretical methods to construct the graphene
Zofia Grabowiecka, Jiri Patera, Marzena Szajewska
In this paper, the tiling of the Euclidean plane with regular hexagons whose vertices are occupied by carbon atoms is called the graphene. We describe six different ways to generat…
Cubature formulas of multivariate polynomials arising from symmetric orbit functions
Jiří Hrivnák, Lenka Motlochová, Jiří Patera
The paper develops applications of symmetric orbit functions, known from irreducible representations of simple Lie groups, in numerical analysis. It is shown that these functions h…
On Discretization of Tori of Compact Simple Lie Groups II
Jiří Hrivnák, Lenka Motlochová, Jiří Patera
The discrete orthogonality of special function families, called - and -functions, which are derived from the characters of compact simple Lie groups, is described in Hrivnák…