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Effect of the Wigner–Dunkl algebra on the Dirac equation and Dirac harmonic oscillator

Modern Physics Letters A, 2018
In this work, we study the Dirac equation and Dirac harmonic oscillator in one-dimensional via the Dunkl algebra. By using Dunkl derivative, we solve the momentum operator and Hamiltonian that include the reflection symmetry.
S. Sargolzaeipor   +2 more
semanticscholar   +1 more source

Unitary Hecke algebra modules with nonzero Dirac cohomology

, 2011
In this paper, we review the construction of the Dirac operator for graded affine Hecke algebras and calculate the Dirac cohomology of irreducible unitary modules for the graded Hecke algebra of gl(n).
D. Barbasch, Dan Ciubotaru
semanticscholar   +1 more source

Generalized clifford - Dirac algebra and Fermi - Bose duality of the dirac equation

International Conference on Mathematical Methods in Electromagnetic Theory, 2012
V. Simulik, I. Krivsky, I. Lamer
semanticscholar   +1 more source

Weyl, Dirac and high-fold chiral fermions in topological quantum matter

Nature Reviews Materials, 2021
M Zahid Hasan   +2 more
exaly  

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