Based on results for real deformation parameter q we introduce a compact non- commutative structure covariant under the quantum group SOq(3) for q being a root of unity. In a representation where X is diagonal P has been calculated. To manifest some typical properties an example of a one-dimensional q-deformed Heisenberg algebra is also considered and compared with non-compact case
The first part of this work focuses on the canonical group quantization approach applied to non-com...
The phase space given by the cotangent bundle of a Lie group appears in the context of several model...
Abstract: We apply one of the formalisms of noncommutative geometry to $R^N_q$, the quantum space co...
latex, 37 pagesWe study a three dimensional non-commutative space emerging in the context of three d...
Quantum Euclidean spaces are noncommutative deformations of Euclidean spaces. They are prototypes of...
Gauge theories on q-deformed spaces are constructed using covariant derivatives. For this purpose a ...
Abstract: We show that the isotropic harmonic oscillator in the ordinary euclidean space ${\bf R}^N$...
PhDNoncommutative Riemannian geometry is an area that has seen intense activity over the past 25 ye...
We describe the possible noncommutative deformations of complex projective three-space by exhibiting...
The study of random walks on duals of compact quantum groups was initiated by Masaki Izumi in [II]. ...
It is shown that q-deformed quantum mechanics (systems with q-deformed Heisenberg commutation relati...
Abstract: A detailed study is made of the noncommutative geometry of $R^3_q$, the quantum space cova...
(so3) is demonstrated. The approach presented here is successful in other cases of quantum algebras ...
The aim of these three papers (I, II, and III) is to develop a q-deformed version of non-relativisti...
In french, 151 pagesThe aim of this thesis is to study the isopectral deformations from the point of...
The first part of this work focuses on the canonical group quantization approach applied to non-com...
The phase space given by the cotangent bundle of a Lie group appears in the context of several model...
Abstract: We apply one of the formalisms of noncommutative geometry to $R^N_q$, the quantum space co...
latex, 37 pagesWe study a three dimensional non-commutative space emerging in the context of three d...
Quantum Euclidean spaces are noncommutative deformations of Euclidean spaces. They are prototypes of...
Gauge theories on q-deformed spaces are constructed using covariant derivatives. For this purpose a ...
Abstract: We show that the isotropic harmonic oscillator in the ordinary euclidean space ${\bf R}^N$...
PhDNoncommutative Riemannian geometry is an area that has seen intense activity over the past 25 ye...
We describe the possible noncommutative deformations of complex projective three-space by exhibiting...
The study of random walks on duals of compact quantum groups was initiated by Masaki Izumi in [II]. ...
It is shown that q-deformed quantum mechanics (systems with q-deformed Heisenberg commutation relati...
Abstract: A detailed study is made of the noncommutative geometry of $R^3_q$, the quantum space cova...
(so3) is demonstrated. The approach presented here is successful in other cases of quantum algebras ...
The aim of these three papers (I, II, and III) is to develop a q-deformed version of non-relativisti...
In french, 151 pagesThe aim of this thesis is to study the isopectral deformations from the point of...
The first part of this work focuses on the canonical group quantization approach applied to non-com...
The phase space given by the cotangent bundle of a Lie group appears in the context of several model...
Abstract: We apply one of the formalisms of noncommutative geometry to $R^N_q$, the quantum space co...
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