Mathematics

  2010 MAR 16 - (VerticalNews.com) -- "We study a classical perturbative membrane based on the string-limit model and we discuss the consistency of the theory where the closure of the classical constraints algebra is verified. We paraquantize the model (extended string) both in the covariant and the transverse approaches," scientists in Constantine, Algeria report.

  "From the generalized Poincare algebra, the so-called Poincare (para) algebra, we show that the space-time critical dimensions D are related to the order of the paraquantization Q by the relation D = 3+ 24/Q. The symplectic structure is generalized for the paraquantum case and applied to the parabosonic membrane coupled to a constant 3-form field," wrote L. Khodja and colleagues ...read more

  2010 MAR 16 - (VerticalNews.com) -- "Dynamically screened three-Coulomb-wave (DS3C) model is applied to study single ionization of helium by 102 eV electron impact," investigators in Linfen, People's Republic of China report.

  "Fully differential cross sections (FDCS) are calculated at different scattering angle of (8 degrees, 10 degrees, 15 degrees, 20 degrees) in the perpendicular plane asymmetric geometry. The results are compared with experimental data and theoretical predictions from a three-Coulomb wave function (3C) approach, convergent close-coupling calculation (CCC), as well as second-order distorted-wave Born method (DWB2)," wrote S.Y. Sun and colleagues, Shanxi Normal University ...read more

  2010 MAR 16 - (VerticalNews.com) -- "We report, to the best of our knowledge, the first exact analytical algebraic solitons of a generalized cubic-quintic Helmholtz equation. This class of governing equation plays a key role in photonics modelling, allowing a full description of the propagation and interaction of broad scalar beams," researchers in Salford, the United Kingdom report.

  "New conservation laws are presented, and the recovery of paraxial results is discussed in detail. The stability properties of the new solitons are investigated by combining semi-analytical methods and computer simulations," wrote J.M. Christian and colleagues, University of Salford ...read more