48,475 research outputs found

    Realization of the N(odd)-dimensional Quantum Euclidean Space by Differential Operators

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    The quantum Euclidean space R_{q}^{N} is a kind of noncommutative space which is obtained from ordinary Euclidean space R^{N} by deformation with parameter q. When N is odd, the structure of this space is similar to R_{q}^{3}. Motivated by realization of R_{q}^{3} by differential operators in R^{3}, we give such realization for R_{q}^{5} and R_{q}^{7} cases and generalize our results to R_{q}^{N} (N odd) in this paper, that is, we show that the algebra of R_{q}^{N} can be realized by differential operators acting on C^{infinite} functions on undeformed space R^{N}.Comment: 10 pages, LaTe

    Polarization screening and induced carrier density at the interface of LaAlO3_3 overlayer on SrTiO3_3 (001)

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    We investigate the role of lattice polarization in determination of induced carrier density at the nn-type interface of LaAlO3_3 overlayer on SrTiO3_3 (001) by carrying out density-functional-theory calculations. When no oxygen vacancy or defect is present, the magnitude of polarization screening in the LaAlO3_3 layers is found to be correlated with the carrier charge induced at the interface. For the interfaces with a few LaAlO3_3 layers, the induced charge carrier is compensated by the electrostatic screening and consequently its density remains far less than 0.5 electrons per unit cell.Comment: 4 pages, 4 figure

    Properties of 2Ă—22\times 2 h-deformed quantum (super)matrices

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    We investigate the hh-deformed quantum (super)group of 2Ă—22\times 2 matrices and use a kind of contraction procedure to prove that the nn-th power of this deformed quantum (super)matrix is quantum (super)matrix with the deformation parameter nhnh.Comment: Accepted by International Journal of Theoretical Physic

    An ideal multi-secret sharing scheme based on minimal privileged coalitions

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    How to construct an ideal multi-secret sharing scheme for general access structures is difficult. In this paper, we solve an open problem proposed by Spiez et al.recently [Finite Fields and Their Application, 2011(17) 329-342], namely to design an algorithm of privileged coalitions of any length if such coalitions exist. Furthermore, in terms of privileged coalitions, we show that most of the existing multi-secret sharing schemes based on Shamir threshold secret sharing are not perfect by analyzing Yang et al.'s scheme and Pang et al.'s scheme. Finally, based on the algorithm mentioned above, we devise an ideal multi-secret sharing scheme for families of access structures, which possesses more vivid authorized sets than that of the threshold scheme.Comment: 13page

    Special Session on Industry 4.0

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