4 articles for “symmetry group”

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Research ArticleOpen accessIn the keywordsIntegrability and Prolongation Structure of a Generalized Korteweg-de Vries EquationPaul BrackenA closed differential ideal is constructed for a generalized Korteweg-de Vries equation. The ideal can be used to establish integrability for the equation. Some prolongation structures are determined for the equation and some larger prolongation algebras for given instances of the equation are found. The significance of this is that Backlund transformations can be developed based on them. It is … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 7,411 accessesView PDF Cite

Research ArticleOpen accessIn the abstractA Brief Review on WIMPs in 331 Electroweak Gauge ModelsP.S. Rodrigues da SilvaIn this study we review the cold dark matter problem in the context of a class of models which are a simple extension of the electroweak standard model, where the gauge symmetry is dictated by the group structure, SU(3)c⊗SU(3)L⊗U(1)X. This model, in different versions, has been able to address many interesting facts not explained by the standard model. It would … …Physics International, Vol. 7, Issue 1 · 27 Oct 2015 · 13,036 accessesView PDF Cite

Research ArticleOpen accessIn the abstractFACILITATING STUDENTS’ GEOMETRIC THINKING THROUGH VAN HIELE’S PHASE-BASED LEARNING USING TANGRAMNyet Moi Siew, Chin Lu Chong, Mohamad Razali AbdullahThe aim of this study was to determine the effects of Van Hiele’s phases of learning using tangrams on 3rd grade primary school students’ levels of geometric thinking at the first (visual) and second (analysis) level. The study further investigated if high, moderate and low ability students acquire better mastery in geometric thinking at the end of tangram activities. Pre-test … …Journal of Social Sciences, Vol. 9, Issue 3 · 2 Oct 2013 · 10,455 accessesView PDF Cite

Research ArticleOpen accessIn the abstractAn Algebraic Approach to the Harmonic Oscillator Plus an Inverse Square Potential in Three DimensionsShi-Hai Dong, M. Lozada-CassouThe eigenfunctions and eigenvalues of the three-dimensional Schrödinger equation with a harmonic oscillator plus an inverse square interaction are obtained. A realization of the ladder operators for the wave functions is studied. It is found that these operators satisfy the commutation relations of an SU(1,1) group. The closed analytical expressions for the matrix elements of different functions ρ and ρd/dρ … …American Journal of Applied Sciences, Vol. 2, Issue 1 · 31 Jan 2005 · 7,279 accessesView PDF Cite