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Products on Quantum Spaces
 Eur. Phys. J. C23
"... In this paper we present explicit formulas for the ∗product on quantum spaces which are of particular importance in physics, i.e., the qdeformed Minkowski space and the qdeformed Euclidean space in 3 and 4 dimensions, respectively. Our formulas are complete and formulated using the deformation pa ..."
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Cited by 18 (15 self)
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In this paper we present explicit formulas for the ∗product on quantum spaces which are of particular importance in physics, i.e., the qdeformed Minkowski space and the qdeformed Euclidean space in 3 and 4 dimensions, respectively. Our formulas are complete and formulated using the deformation parameter q. In addition, we worked out an expansion in powers of h = ln q up to second order, for all considered cases.
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 13 (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
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.
unknown title
, 705
"... The article deals with qanalogs of the three and fourdimensional Euclidean superalgebra and the Poincaré superalgebra. ..."
Abstract
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The article deals with qanalogs of the three and fourdimensional Euclidean superalgebra and the Poincaré superalgebra.