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Free qdeformed relativistic wave equations by representation theory
 Eur. Phys. J. C
"... In a representation theoretic approach a free qrelativistic wave equation must be such, that the space of solutions is an irreducible representation of the qPoincaré algebra. It is shown how this requirement uniquely determines the qwave equations. As examples, the qDirac equation (including qg ..."
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Cited by 11 (1 self)
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In a representation theoretic approach a free qrelativistic wave equation must be such, that the space of solutions is an irreducible representation of the qPoincaré algebra. It is shown how this requirement uniquely determines the qwave equations. As examples, the qDirac equation (including qgamma matrices which satisfy a qClifford algebra), the qWeyl equations, and the qMaxwell equations are computed explicitly. 1
qDeformed quantum Lie algebras
 J. Geom. Phys
"... Attention is focused on qdeformed quantum algebras with physical importance, i.e. Uq(su2), Uq(so4) and qdeformed Lorentz algebra. The main concern of this article is to assemble important ideas about these symmetry algebras in a consistent framework which shall serve as starting point for represen ..."
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Cited by 4 (4 self)
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Attention is focused on qdeformed quantum algebras with physical importance, i.e. Uq(su2), Uq(so4) and qdeformed Lorentz algebra. The main concern of this article is to assemble important ideas about these symmetry algebras in a consistent framework which shall serve as starting point for representation theoretic investigations in physics, especially quantum field theory. In each case considerations start from a realization of symmetry generators within the differential algebra. Formulae for coproducts and antipodes on symmetry generators are listed. The action of symmetry generators in terms of their Hopf structure is taken as qanalog of classical commutators and written out explicitly. Spinor and vector representations of symmetry generators are calculated. A review of the commutation relations between symmetry generators and components of a spinor or vector operator is given. Relations for the corresponding quantum Lie algebras are computed. Their Casimir operators are written down in a form similar to the undeformed case.
Spin in the qDeformed Poincaré Algebra
, 2001
"... We investigate spin as algebraic structure within the qdeformed Poincaré algebra, proceeding in the same manner as in the undeformed case. The qPauliLubanski vector, the qspin Casimir, and the qlittle algebras for the massless and the massive case are constructed explicitly. 1 ..."
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Cited by 1 (1 self)
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We investigate spin as algebraic structure within the qdeformed Poincaré algebra, proceeding in the same manner as in the undeformed case. The qPauliLubanski vector, the qspin Casimir, and the qlittle algebras for the massless and the massive case are constructed explicitly. 1
qDeformed superalgebras
, 705
"... The article deals with qanalogs of the three and fourdimensional Euclidean superalgebra and the Poincaré superalgebra. ..."
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The article deals with qanalogs of the three and fourdimensional Euclidean superalgebra and the Poincaré superalgebra.