Showing papers on "Antisymmetry published in 2007"

Copular Sentences in Russian: A Theory of Intra-Clausal Relations

Abstract: Copular Sentences In Russian: An Overview.- Nouns And Their Extended Projections.- Phrase Structural Relations And Merge: Symmetry Or Antisymmetry?.- Thematic Relations.- Case Relations.- Conclusion.

Non-localities in nucleon-nucleus potentials

Abstract: Two causes of non-locality inherent in nucleon-nucleus scattering are considered. They are the results of two-nucleon antisymmetry of the projectile with each nucleon in the nucleus and the dynamic polarization potential representation of channel coupling. For energies $\sim 40 - 300$ MeV, a g-folding model of the optical potential is used to show the influence of the knock-out process that is a result of the two-nucleon antisymmetry. To explore the dynamic polarization potential caused by channel coupling, a multichannel algebraic scattering model has been used for low-energy scattering.

Antisymmetry and stability of water systems. I. Planar cyclic clusters

Abstract: All topologically distinct configurations of planar cyclic water clusters consisting of three to six molecules are calculated. The symmetry of configurations is analyzed using an additional operation of antisymmetry that changes the directions of all hydrogen bonds. It is concluded that the concept of antisymmetry and the presence of similar in properties but inequivalent “configurations-antipodes” reflects a new fundamental feature of water systems, namely, the internal molecular asymmetry.

Equatorial symmetry/antisymmetry of stationary axisymmetric electrovac spacetimes

Abstract: Two theorems are proved concerning how stationary axisymmetric electrovac spacetimes that are equatorially symmetric or equatorially antisymmetric can be characterized correctly in terms of the Ernst potentials $\E$ and $\Phi$ or in terms of axis-data.

Antisymmetry and stability of water systems. II. Polyhedral clusters

Abstract: The generalized symmetry of proton configurations of water polyhedral clusters is studied. A change in the directions of all hydrogen bonds is used as the additional approximate operation of antisymmetry. The dependence of the energy of antisymmetric configurations on the cluster stabilization energy is found. It is concluded that the internal molecular asymmetry of water that is caused by the approximate character of antisymmetry of hydrogen bonding can be of fundamental scientific importance.

Spectral Analysis of a Model of the Compressible Euler Equations

Abstract: We construct degenerate quadratic models for the Euler equations which distinguish the stabilizing effect of an antisymmetry in the Lie structure of the Euler equations when this antisymmetry is accounted for versus when it is not. We derive a matrix, depending only on the mesh size, $N$, and the 2-wave strengths, whose powers propagate the 1- and 3-waves up to time $t$. We give sharp estimates for the magnitude of the largest eigenvalue of this matrix and conclude that the solution will decay for initial data of arbitrarily large total variation, of order the 4-th root of $N$ in the limit $N$ approaches infinity, when the antisymmetry is accounted for, and only for suffciently small total variation when it is not