Graphene-based materials are thought to revolutionize entire industries. Therefore, many
researches are being carried on graphene theoretically and experimentally. On the other …

Recent studies show that deformations in quantum mechanics are inevitable. In this
contribution, we consider a relativistic quantum mechanical differential equation in the …

Abstract The Dirac–Dunkl operator on the two-sphere associated to the Z _ 2^ 3 Z 2 3
reflection group is considered. Its symmetries are found and are shown to generate the …

We consider a generalization of the classical Laplace operator, which includes the Laplace–
Dunkl operator defined in terms of the differential-difference operators associated with finite …

The oscillator Racah algebra R _n (h) R n (h) is realized by the intermediate Casimir
operators arising in the multifold tensor product of the oscillator algebra h h. An embedding …

The Hahn algebra encodes the bispectral properties of the eponymous orthogonal
polynomials. In the discrete case, it is isomorphic to the polynomial algebra identified by …

The Racah algebra encodes the bispectrality of the eponym polynomials. It is known to be
the symmetry algebra of the generic superintegrable model on the-sphere. It is further …

An algebra denoted m H with three generators is introduced and shown to admit
embeddings of the Hahn algebra and the rational Hahn algebra. It has a real version of the …

We provide an explicit isomorphism between a quotient of the Bannai–Ito algebra and the
Brauer algebra. We clarify also the connection with the action of the Lie superalgebra on the …

The Heun–Racah and Heun–Bannai–Ito algebras are introduced. Specializations of these
algebras are seen to be realized by the operators obtained by applying the algebraic Heun …