Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere.
Panero, Marco (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “Noncommutative geometry: fuzzy spaces, the Groenewold-Moyal plane.”
Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere.
Sum of observables in fuzzy quantum spaces
Anatolij Dvurečenskij, Anna Tirpáková (1992)
Applications of Mathematics
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We introduce the sum of observables in fuzzy quantum spaces which generalize the Kolmogorov probability space using the ideas of fuzzy set theory.
A new approach to representation of observables on fuzzy quantum posets
Le Ba Long (1992)
Applications of Mathematics
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We give a representation of an observable on a fuzzy quantum poset of type II by a pointwise defined real-valued function. This method is inspired by that of Kolesárová [6] and Mesiar [7], and our results extend representations given by the author and Dvurečenskij [4]. Moreover, we show that in this model, the converse representation fails, in general.
Remarks on representation of fuzzy quantum posets
Anatolij Dvurečenskij (1994)
Mathematica Slovaca
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Unified gauge theories and reduction of couplings: From finiteness to fuzzy extra dimensions.
Mondragón, Myriam, Zoupanos, George (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Hopf maps, lowest Landau level, and fuzzy spheres.
Hasebe, Kazuki (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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