The Experts below are selected from a list of 276 Experts worldwide ranked by ideXlab platform
Jarosław Adam Miszczak - One of the best experts on this subject based on the ideXlab platform.
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Symbolic integration with respect to the Haar Measure on the unitary groups
Bulletin of the Polish Academy of Sciences Technical Sciences, 2017Co-Authors: Zbigniew Puchała, Jarosław Adam MiszczakAbstract:We present IntU package for Mathematica computer algebra system. The presented package performs a symbolic integration of polynomial functions over the unitary group with respect to unique normalized Haar Measure. We describe a number of special cases which can be used to optimize the calculation speed for some classes of integrals. We also provide some examples of usage of the presented package.
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Symbolic integration with respect to the Haar Measure on the unitary group in Mathematica
arXiv: Computational Physics, 2011Co-Authors: Zbigniew Puchała, Jarosław Adam MiszczakAbstract:AbstractWe present IntU package for Mathematica computer algebra system. Thepresented package performs a symbolic integration of polynomial functionsover the unitary group with respect to unique normalized Haar Measure. Wedescribe a number of special cases which can be used to optimize the calcu-lation speed for some classes of integrals. We also provide some examples ofusage of the presented package.Keywords: unitary group, CUE, symbolic integrationPROGRAM SUMMARY Manuscript Title: Symbolic integration with respect to the Haar Measure on THEunitary group in MathematicaAuthors: Z. Pucha la, J.A. MiszczakProgram Title: IntUJournal Reference:Catalogue identi er:Licensing provisions: GPLv3Programming language: Mathematica 8Computer: Any computer supporting Mathematica 8Operating system: Any operating system capable of running Mathematica 8 orhigher, e.g. GNU/Linux, MacOS X, Microsoft Windows XP or higherRAM: For examples listed in the paper the program uses less than 20 MB (lessthan 45 MB with Mathematica front-end)
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symbolic integration with respect to the Haar Measure on the unitary group
arXiv: Computational Physics, 2011Co-Authors: Zbigniew Puchala, Jarosław Adam MiszczakAbstract:We present IntU package for Mathematica computer algebra system. The presented package performs a symbolic integration of polynomial functions over the unitary group with respect to unique normalized Haar Measure. We describe a number of special cases which can be used to optimize the calculation speed for some classes of integrals. We also provide some examples of usage of the presented package.
Gabriel Nagy - One of the best experts on this subject based on the ideXlab platform.
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On the Haar Measure of the quantumSU(N) group
Communications in Mathematical Physics, 1993Co-Authors: Gabriel NagyAbstract:We prove that the Haar state associated to the compact matrix quantum group SU _μ( N ) is faithful for μ∈]−1,1[,μ≠0, and any N ≧2.
Walter Greiner - One of the best experts on this subject based on the ideXlab platform.
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Effect of the Haar Measure on the finite temperature effective potential of SU(2) Yang-Mills theory
Physics Letters B, 1995Co-Authors: Kornél Sailer, Andreas Schäfer, Walter GreinerAbstract:Abstract Including the Haar Measure we show that the effective potential of the regularized SU (2) Yang-Mills theory has a minimum at vanishing Wilson-line W = 0 for strong coupling, whereas it develops two degenerate minima close to W = ±1 for weak coupling. This suggests that the non-abelian character of SU (2) as contained in the Haar Measure might be responsible for confinement.
Joerg Teschner - One of the best experts on this subject based on the ideXlab platform.
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R-operator, co-product and Haar-Measure for the modular double of U_q(sl(2,R))
Communications in Mathematical Physics, 2003Co-Authors: Andrei G Bytsko, Joerg TeschnerAbstract:A certain class of unitary representations of U_q(sl(2,R)) has the property of being simultanenously a representation of U_{tilde{q}}(sl(2,R)) for a particular choice of tilde{q}(q). Faddeev has proposed to unify the quantum groups U_q(sl(2,R)) and U_{tilde{q}}(sl(2,R)) into some enlarged object for which he has coined the name ``modular double''. We study the R-operator, the co-product and the Haar-Measure for the modular double of U_q(sl(2,R)) and establish their main properties. In particular it is shown that the Clebsch-Gordan maps constructed in [PT2] diagonalize this R-operator.
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r operator co product and Haar Measure for the modular double of
Communications in Mathematical Physics, 2003Co-Authors: Andrei G Bytsko, Joerg TeschnerAbstract:A certain class of unitary representations of has the property of being simultanenously a representation of for a particular choice of ˜q(q). Faddeev has proposed to unify the quantum groups and into some enlarged object for which he has coined the name ``modular double''. We study the R-operator, the co-product and the Haar-Measure for the modular double of and establish their main properties. In particular it is shown that the Clebsch-Gordan maps constructed in [PT2] diagonalize this R-operator.
Zbigniew Puchała - One of the best experts on this subject based on the ideXlab platform.
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Symbolic integration with respect to the Haar Measure on the unitary groups
Bulletin of the Polish Academy of Sciences Technical Sciences, 2017Co-Authors: Zbigniew Puchała, Jarosław Adam MiszczakAbstract:We present IntU package for Mathematica computer algebra system. The presented package performs a symbolic integration of polynomial functions over the unitary group with respect to unique normalized Haar Measure. We describe a number of special cases which can be used to optimize the calculation speed for some classes of integrals. We also provide some examples of usage of the presented package.
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Symbolic integration with respect to the Haar Measure on the unitary group in Mathematica
arXiv: Computational Physics, 2011Co-Authors: Zbigniew Puchała, Jarosław Adam MiszczakAbstract:AbstractWe present IntU package for Mathematica computer algebra system. Thepresented package performs a symbolic integration of polynomial functionsover the unitary group with respect to unique normalized Haar Measure. Wedescribe a number of special cases which can be used to optimize the calcu-lation speed for some classes of integrals. We also provide some examples ofusage of the presented package.Keywords: unitary group, CUE, symbolic integrationPROGRAM SUMMARY Manuscript Title: Symbolic integration with respect to the Haar Measure on THEunitary group in MathematicaAuthors: Z. Pucha la, J.A. MiszczakProgram Title: IntUJournal Reference:Catalogue identi er:Licensing provisions: GPLv3Programming language: Mathematica 8Computer: Any computer supporting Mathematica 8Operating system: Any operating system capable of running Mathematica 8 orhigher, e.g. GNU/Linux, MacOS X, Microsoft Windows XP or higherRAM: For examples listed in the paper the program uses less than 20 MB (lessthan 45 MB with Mathematica front-end)