Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Roy Oste"'
Publikováno v:
JOURNAL OF ALGEBRA
The Dunkl--Dirac operator is a deformation of the Dirac operator by means of Dunkl derivatives. We investigate the symmetry algebra generated by the elements supercommuting with the Dunkl--Dirac operator and its dual symbol. This symmetry algebra is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe3a38f81ed9c78d77b9cd5af3867533
https://doi.org/10.1016/j.jalgebra.2021.09.025
https://doi.org/10.1016/j.jalgebra.2021.09.025
Publikováno v:
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
We present an exact solution of a confined model of the non-relativistic quantum harmonic oscillator, where the effective mass and the angular frequency are dependent on the position. The free Hamiltonian of the proposed model has the form of the Ben
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe978184173efa7a3c800720057b1c2d
https://biblio.ugent.be/publication/8682691/file/8682692
https://biblio.ugent.be/publication/8682691/file/8682692
Autor:
Alexis Langlois-Rémillard, Roy Oste
Publikováno v:
Lie Theory and Its Applications in Physics (LT 2019), Proceedings
Springer Proceedings in Mathematics & Statistics ISBN: 9789811577741
Springer Proceedings in Mathematics & Statistics ISBN: 9789811577741
We initiate the study of an algebra of symmetries for the 3D Dirac–Dunkl operator associated with the Weyl group of the exceptional root system \(G_2\). For this symmetry algebra, we give both an abstract definition and an explicit realisation. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62ce7059636750ee8f25a604bcdee9b2
https://biblio.ugent.be/publication/8698577/file/8698594
https://biblio.ugent.be/publication/8698577/file/8698594
Publikováno v:
Annals of Physics. 389:192-218
We consider the symmetry algebra generated by the total angular momentum operators, appearing as constants of motion of the S 3 Dunkl Dirac equation. The latter is a deformation of the Dirac equation by means of Dunkl operators, in our case associate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5083d2571699f8436aa7c3e11f1c2636
https://doi.org/10.1016/j.aop.2017.12.015
https://doi.org/10.1016/j.aop.2017.12.015
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9789811327148
We work in three-dimensional Euclidean space on which the symmetric group \(S_3\) acts in a natural way. Here, we consider the Dunkl operators, a generalization of partial derivatives in the form of differential-difference operators associated to a r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f756ab2893251f3082eb6902e2d30415
https://doi.org/10.1007/978-981-13-2715-5_15
https://doi.org/10.1007/978-981-13-2715-5_15
Publikováno v:
LETTERS IN MATHEMATICAL PHYSICS
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 reflection groups called Dunkl operators. For this Laplace-like
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cfc41975dbfe05ea9ed0d1624012f4c8
https://biblio.ugent.be/publication/8567845
https://biblio.ugent.be/publication/8567845
Publikováno v:
International Mathematics Research Notices. 2016:4649-4705
The Howe dual pair (sl(2),O(m)) allows the characterization of the classical Fourier transform (FT) on the space of rapidly decreasing functions as the exponential of a well-chosen element of sl(2) such that the Helmholtz relations are satisfied. In
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::715f461449f613fabcd95ad2c5808fee
https://doi.org/10.1093/imrn/rnv293
https://doi.org/10.1093/imrn/rnv293
Autor:
Joris Van der Jeugt, Roy Oste
Recently, a new definition for a Wigner distribution function for a one-dimensional finite quantum system, in which the position and momentum operators have a finite (multiplicity-free) spectrum, was developed. This distribution function is defined o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4763fac0ca820dba4ba484e5aa5ae41f
http://arxiv.org/abs/1612.07686
http://arxiv.org/abs/1612.07686
Autor:
Roy Oste, Joris Van der Jeugt
Publikováno v:
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
We classify all pairs of recurrence relations in which two Hahn or dual Hahn polynomials with different parameters appear. Such couples are referred to as (dual) Hahn doubles. The idea and interest comes from an example appearing in a finite oscillat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c6b24b7a81626a145a5b5f6a56d29d98
https://doi.org/10.3842/sigma.2016.003
https://doi.org/10.3842/sigma.2016.003
Autor:
Roy Oste, Joris Van der Jeugt
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9789811026355
In Oste and Van der Jeugt, SIGMA, 12 (2016), [13], we classified all pairs of recurrence relations connecting two sets of Hahn, dual Hahn or Racah polynomials of the same type but with different parameters. We examine the algebraic relations underlyi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bc11ee379f25be40a4446fa1f85213b7
https://doi.org/10.1007/978-981-10-2636-2_43
https://doi.org/10.1007/978-981-10-2636-2_43