Topic
Antisymmetric relation
About: Antisymmetric relation is a research topic. Over the lifetime, 3322 publications have been published within this topic receiving 64365 citations. The topic is also known as: antisymmetric property & anti-symmetric property.
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TL;DR: In this paper, a multidimensional supergravity model is considered, where the manifold is chosen in the formMDM0M1 Mn, where Mi are Einstein spaces (i> 1) and all fields and scale factors of the metric are functions of M0.
Abstract: A multidimensional gravitational model containing several dilatonic scalar fields and antisymmetric forms is considered. The manifold is chosen in the formMDM0M1 Mn , where Mi are Einstein spaces (i> 1). The block-diagonal metric is chosen and all fields and scale factors of the metric are functions of M0. For the forms composite (electromagnetic) p-brane ansatz is adopted. The model is reduced to a gravitating self-interacting sigma- model with certain constraints. In the pure electric and magnetic cases the number of these constraints is n1.n1 1/=2 where n1 is the number of one-dimensional manifolds among Mi . In the 'electromagnetic' case for dim M0 D 1; 3 additional n1 constraints appear. A family of 'Majumdar-Papapetrou-type' solutions governed by a set of harmonic functions is obtained, when all factor-spacesM are Ricci-flat. These solutions are generalized to the case of non-Ricci- flat M0 when some additional 'internal' Einstein spaces of non-zero curvature are also added to M. As an example exact solutions for DD 11 supergravity and the related 12-dimensional theory are presented.
89 citations
TL;DR: This study indicates that these new geminal-based approaches provide a cheap, robust, and accurate alternative for the description of bond-breaking processes in closed-shell systems requiring only mean-field-like computational cost.
Abstract: We present a systematic theoretical study on the dissociation of diatomic molecules and their spectroscopic constants using our recently presented geminal-based wave function ansatze. Specifically, the performance of the antisymmetric product of rank two geminals (APr2G), the antisymmetric product of 1-reference-orbital geminals (AP1roG) and its orbital-optimized variant (OO-AP1roG) are assessed against standard quantum chemistry methods. Our study indicates that these new geminal-based approaches provide a cheap, robust, and accurate alternative for the description of bond-breaking processes in closed-shell systems requiring only mean-field-like computational cost. In particular, the spectroscopic constants obtained from OO-AP1roG are in very good agreement with reference theoretical and experimental data.
88 citations
TL;DR: In this article, the authors examined the circular polarization associated with pulsar emission and found that it is strongly correlated with the sense of rotation of the linear position angle and with the transition from positive (LH) to negative (RH) of the position angle.
Abstract: The circular polarization associated with pulsar emission is examined phenomenologically. Virtually all circular polarization is observed in core components - that is, in core-single profiles and in the central components of triple and five-component profiles. Two extreme types of circular signature are identified in the observations: (1) an antisymmetric type wherein the circular polarization changes sense in midpulse, and (2) a symmetric type wherein it is predominantly of one sense. It is found that circular polarization of the antisymmetric type is strongly correlated with the sense of rotation of the linear position angle. Transitions from positive (LH) to negative (RH) are found to accompany negative (clockwise) rotations of the position angle and vice versa. The correlation requires that the antisymmetric circular polarization is also a purely geometric property of the emission process. Curvature radiation will have significant net circular polarization if there are gradients in the emissivity over angular scales comparable with the emission cone of a single charge. Furthermore, no net circular polarization is produced if the emissivity is circularly symmetric about the magnetic dipole axis. 37 refs.
87 citations
TL;DR: In this paper, the authors proposed a method of analysis based on the complex variable approach of Savin and Lekhnitskii for branched crack problems in two-dimensional, anisotropic elastic homogeneous solids.
Abstract: Branched crack problems are analyzed in two-dimensional, anisotropically elastic homogeneous solids. The method of analysis is based on the complex variable approach of Savin and Lekhnitskii. The Hilbert problem in an anisotropic body is defined, and a pair of singular integral equations are derived for dislocation density functions associated with a branched crack. For both symmetric and nonsymmetric geometries, and under symmetric and antisymmetric loads, the stress intensity factors and the energy release rate are computed numerically by extrapolation for infinitesimally small lengths of branched cracks. The results are compared with those of the isotropic case given in the literature and the effects of anisotropy are discussed.
87 citations
TL;DR: What is believed to be a new class of solutions of the three-flat problem for circular flats is described in terms of functions that are symmetric or antisymmetric with respect to reflections at a single line passing through the center of the flat surfaces.
Abstract: In interferometric surface and wavefront metrology, three-flat tests are the archetypes of measurement procedures to separate errors in the interferometer reference wavefront from errors due to the test part surface, so-called absolute tests. What is believed to be a new class of solutions of the three-flat problem for circular flats is described in terms of functions that are symmetric or antisymmetric with respect to reflections at a single line passing through the center of the flat surfaces. The new solutions are simpler and easier to calculate than the known solutions based on twofold mirror symmetry or rotation symmetry. Strategies for effective azimuthal averaging and a method for determining the averaging error are also discussed.
87 citations