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, the Fresnel surface is defined as a generalization of the null cone determined by a Lorentz metric and the tensor is proportional to a Hodge star operator.
Abstract: We study Maxwell?s equations on a 4-manifold where the electromagnetic medium is described by a suitable antisymmetric -tensor ? with real components. In this setting, the Tamm?Rubilar tensor density determines a polynomial surface of fourth order in each cotangent space. This surface is called the Fresnel surface and acts as a generalization of the null cone determined by a Lorentz metric; the Fresnel surface parameterizes electromagnetic wavespeed as a function of direction. We show that if (a) ? has no skewon and no axion component, (b) ? is invertible and (c) the Fresnel surface is pointwise a Lorentz null cone, then the tensor ? is proportional to a Hodge star operator of a Lorentz metric and ? represents an isotropic medium. In other words, in a suitable class of media one can recognize isotropic media from wavespeed alone. What is more, we study the nonunique dependence between the tensor ?, its Tamm?Rubilar tensor density and its Fresnel surface. For example, we show that if ? is invertible, then ? and ??1 have the same Fresnel surfaces.
23 citations
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TL;DR: In this paper, a finite element based numerical method is employed to analyze the resonant oscillations of the liquid confined within multiple floating bodies based on fully nonlinear wave theory, and the velocity potentials at each time step are obtained through the finite element method (FEM) with quadratic shape functions.
23 citations
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TL;DR: In this article, the authors extend the perturbation theory models with an Antisymmetric Product of 1-reference orbital Geminal (AP1roG) reference function that allows them to describe both static/nondynamic and dynamic electron correlation effects.
Abstract: Wave functions restricted to electron-pair states are promising models to describe static/nondynamic electron correlation effects encountered, for instance, in bond-dissociation processes and transition-metal and actinide chemistry. To reach spectroscopic accuracy, however, the missing dynamic electron correlation effects that cannot be described by electron-pair states need to be included a posteriori. In this Article, we extend the previously presented perturbation theory models with an Antisymmetric Product of 1-reference orbital Geminal (AP1roG) reference function that allows us to describe both static/nondynamic and dynamic electron correlation effects. Specifically, our perturbation theory models combine a diagonal and off-diagonal zero-order Hamiltonian, a single-reference and multireference dual state, and different excitation operators used to construct the projection manifold. We benchmark all proposed models as well as an a posteriori Linearized Coupled Cluster correction on top of AP1roG again...
23 citations
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TL;DR: In this article, the authors considered supersymmetric SU(Nc) theories with one antisymmetric representation, five flavors, and enough antifundamental representations to cancel the gauge anomaly.
23 citations
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TL;DR: In this paper, an optimization procedure using the Complex technique in conjunction with the finite strip method is presented to find the optimum ply angle in antisymmetric laminated composite plates subjected to in-plane compression.
23 citations