Results 281 to 290 of about 50,122 (309)
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Comment on the differential calculus on quantum planes
Journal of Physics A: Mathematical and General, 1991Two-parameter quantum deformation of the plane and its calculus are considered. Without \(R\) matrix, the main structures of Wess and Zumino scheme are derived. Their generalization to multiparameter deformation and to quantum superspace are briefly discussed in an arbitrary number of dimensions.
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Differential Calculus on Quantum Matrix Lie Groups
Communications in Theoretical Physics, 1992Following the discussions on quantum groups by Reshetikhin, Takhadshyan and Faddeev, we thoroughly studied the differential calculus on quantum groups, and obtained the explicit expressione in the case of . We also compared our results with those of Woronowicz and Podles under the restriction of to .
Ke Wu, Ren-Jie Zhang
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Differential calculus on quantum Euclidean spheres.
Czechoslovak Journal of Physics, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Covariant Differential Calculus on Quantum Spaces
1997Nowadays differential forms on manifolds have entered the formulation of a number of physical theories such as Maxwell’s theory, mechanics, the theory of relativity and others. There are various physical ideas and considerations (quantum gravity, discrete space-time structures, models of elementary particle physics) that strongly motivate the ...
Anatoli Klimyk, Konrad Schmüdgen
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Covariant Differential Calculus on Quantum Groups
1997This chapter contains the main concepts and results of the general theory of covariant differential calculi on quantum groups. The underlying Hopf algebra structure allows us to develop a rich theory of such calculi which is suggested by ideas from classical Lie theory.
Konrad Schmüdgen, Anatoli Klimyk
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Bicovariant differential calculus on quantum groups and wave mechanics
Czechoslovak Journal of Physics, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ursula Carow-Watamura +4 more
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Differential calculus onN-dimensional quantum space
Il Nuovo Cimento B Series 11, 1994The allowed quantum deformations ofN-dimensional space are obtained and their differential calculi are discussed.
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CARTAN CALCULUS OF Z3-GRADED DIFFERENTIAL CALCULUS ON THE QUANTUM PLANE
International Journal of Geometric Methods in Modern Physics, 2012To give a Z3-graded Cartan calculus on the extended quantum plane, the noncommutative differential calculus on the extended quantum plane is extended by introducing inner derivations and Lie derivatives.
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Differential and Integral Calculus on the Quantum C-Plane
1992Quantum space is an associtive coordination algebra Q equipped with a set F = {x i } of generators x i , i = 1,2,...n [1]. the reordering rule for generators is postulated in the so called Bethe Ansatz form [2]: $$ \left( {x \times x} \right) = B\left( {x \times x} \right) $$ (1) where B is a ℂ-valued n 2 x n 2 matrix, x denotes the direct ...
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Differential Privacy Techniques for Cyber Physical Systems: A Survey
IEEE Communications Surveys and Tutorials, 2020Jinjun Chen +2 more
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