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Effect of the Wigner–Dunkl algebra on the Dirac equation and Dirac harmonic oscillator
Modern Physics Letters A, 2018In 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
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Unitary Hecke algebra modules with nonzero Dirac cohomology
, 2011In 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
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Generalized clifford - Dirac algebra and Fermi - Bose duality of the dirac equation
International Conference on Mathematical Methods in Electromagnetic Theory, 2012V. Simulik, I. Krivsky, I. Lamer
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Weyl, Dirac and high-fold chiral fermions in topological quantum matter
Nature Reviews Materials, 2021M Zahid Hasan +2 more
exaly
A symmetry reduction scheme of the Dirac algebra without dimensional defects
, 2010Rolf Dahm
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