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math-ph2017★ 10 cited
The total angular momentum algebra related to the Dunkl Dirac equation
Hendrik De Bie, Roy Oste, Joris Van der Jeugt
We consider the symmetry algebra generated by the total angular momentum operators, appearing as constants of motion of the Dunkl Dirac equation. The latter is a def…
math-ph2017★ 15 cited
On the algebra of symmetries of Laplace and Dirac operators
Hendrik De Bie, Roy Oste, Joris Van der Jeugt
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…