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A Dirac–Dunkl Equation on S2 and the Bannai–Ito Algebra [PDF]
Communications in Mathematical Physics, 2016 The Dirac–Dunkl operator on the two-sphere associated to the $${{\mathbb{Z}_{2}^{3}}}$$Z23 reflection group is considered. Its symmetries are found and are shown to generate the Bannai–Ito algebra.
H. De Bie, Vincent X. Genest, L. Vinet
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A new look at the Dirac quantization condition
European Physical Journal C: Particles and Fields, 2023 The angular momentum of any quantum system should be unambiguously quantized. We show that such a quantization fails for a pure Dirac monopole due to a previously overlooked field angular momentum from the monopole-electric charge system coming from the ...
Michael Dunia +2 more
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Dirac composite fermion theory of general Jain sequences [PDF]
Physical Review Research, 2021 We reconsider the composite fermion theory of general Jain's sequences with filling factor $\nu=N/(4N\pm1)$. We show that Goldman and Fradkin's proposal of a Dirac composite fermion leads to a violation of the Haldane bound on the coefficient of the ...
D. X. Nguyen, D. Son
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SuperTracer: a calculator of functional supertraces for one-loop EFT matching
Journal of High Energy Physics, 2021 We present SuperTracer, a Mathematica package aimed at facilitating the functional matching procedure for generic UV models. This package automates the most tedious parts of one-loop functional matching computations.
Javier Fuentes-Martín +4 more
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The DIRAC code for relativistic molecular calculations. [PDF]
Journal of Chemical Physics, 2020 DIRAC is a freely distributed general-purpose program system for one-, two-, and four-component relativistic molecular calculations at the level of Hartree-Fock, Kohn-Sham (including range-separated theory), multiconfigurational self-consistent-field ...
T. Saue +26 more
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One dimensional representations of finite W $W$ -algebras, Dirac reduction and the orbit method [PDF]
Inventiones Mathematicae, 2021 In this paper we study the variety of one dimensional representations of a finite W $W$ -algebra attached to a classical Lie algebra, giving a precise description of the dimensions of the irreducible components.
L. Topley
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Comments on the paper “On the κ-Dirac oscillator revisited”
Physics Letters B, 2020 In Ref. [1], the κ-Dirac equation, based on the κ-deformed Poincaré-Hopf algebra, have been studied. In particular, solutions of the κ-Dirac oscillator (DO), in a three-dimensional space, were obtained by deriving the associated radial equations.
Yassine Chargui
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Meson spectrum of SU(2) QCD 1+1 with quarks in Large representations
Journal of High Energy Physics, 2023 We consider SU(2) quantum chromodynamics in 1 + 1 dimensions with a single quark in the spin J representation of the gauge group and study the theory in the large J limit where the gauge coupling g 2 → 0 and J → ∞ with λ = g 2 J 2 fixed.
Anurag Kaushal +2 more
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Relativistic wave equations with fractional derivatives and pseudodifferential operators
Journal of Applied Mathematics, 2002 We study the class of the free relativistic covariant equations generated by the fractional powers of the d′Alembertian operator (□1/n). The equations corresponding to n=1 and 2 (Klein-Gordon and Dirac equations) are local in their nature, but the ...
Petr Závada
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On the algebra of symmetries of Laplace and Dirac operators [PDF]
, 2017 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.
H. De Bie, R. Oste, J. Van der Jeugt
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