Dunkl graphene in constant magnetic field
B Hamil, BC Lütfüoğlu - The European Physical Journal Plus, 2022 - Springer
Graphene-based materials are thought to revolutionize entire industries. Therefore, many
researches are being carried on graphene theoretically and experimentally. On the other …
researches are being carried on graphene theoretically and experimentally. On the other …
Dunkl–Klein–Gordon equation in three-dimensions: The Klein–Gordon oscillator and Coulomb potential
B Hamil, BC Lütfüoğlu - Few-Body Systems, 2022 - Springer
Recent studies show that deformations in quantum mechanics are inevitable. In this
contribution, we consider a relativistic quantum mechanical differential equation in the …
contribution, we consider a relativistic quantum mechanical differential equation in the …
A Dirac–Dunkl Equation on S 2 and the Bannai–Ito Algebra
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 …
reflection group is considered. Its symmetries are found and are shown to generate the …
On the algebra of symmetries of Laplace and Dirac operators
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 …
Dunkl operator defined in terms of the differential-difference operators associated with finite …
Racah Problems for the Oscillator Algebra, the Lie Algebra , and Multivariate Krawtchouk Polynomials
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 …
operators arising in the multifold tensor product of the oscillator algebra h h. An embedding …
[HTML][HTML] The Higgs and Hahn algebras from a Howe duality perspective
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 …
polynomials. In the discrete case, it is isomorphic to the polynomial algebra identified by …
The Racah algebra as a commutant and Howe duality
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 …
the symmetry algebra of the generic superintegrable model on the-sphere. It is further …
A unified algebraic underpinning for the Hahn polynomials and rational functions
L Vinet, A Zhedanov - Journal of Mathematical Analysis and Applications, 2021 - Elsevier
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 …
embeddings of the Hahn algebra and the rational Hahn algebra. It has a real version of the …
Centralizers of the superalgebra: the Brauer algebra as a quotient of the Bannai–Ito algebra
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 …
Brauer algebra. We clarify also the connection with the action of the Lie superalgebra on the …
The Heun–Racah and Heun–Bannai–Ito algebras
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 …
algebras are seen to be realized by the operators obtained by applying the algebraic Heun …