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 particular, this article showed that certain momentum-dependent terms in the fermion sector of the Lorentz-violating standard model extension (SME) yield solvable classical Lagrangians of a type not mentioned in the literature.
Abstract: Certain momentum-dependent terms in the fermion sector of the Lorentz-violating standard model extension (SME) yield solvable classical Lagrangians of a type not mentioned in the literature. These cases yield new relatively simple examples of Finsler and pseudo-Finsler structures. One of the cases involves antisymmetric $d$-type terms and yields a new example of a relatively simple covariant Lagrangian.
36 citations
TL;DR: In this article, the authors analyzed the BRS structure and display the quantum effective lagrangian for two models: the antisymmetric 2-tensor non-abelian field coupled to a Yang-Mills field, and the free tensor of arbitrary rank in arbitrary dimension.
36 citations
TL;DR: In this article, reduced dimensionality coupled channel scattering calculations of rotationally averaged cross sections for the H+C2H2↔H2+C 2H2 reaction were performed and a new ten degree-of-freedom potential was developed for use in these calculations.
Abstract: We report reduced dimensionality coupled channel scattering calculations of rotationally averaged cross sections for the H+C2H2↔H2+C2H reaction. A new ten degree‐of‐freedom potential is developed for use in these calculations. This potential surface is based on a previous potential for C2H2 and C2H as well as previous ab initio calculations of the saddle point properties. We focus on the effect of exciting the symmetric and antisymmetric CH stretches, and symmetric CC stretch in C2H2 on the reactivity, and also on the vibrational distribution of the H2 and C2H products. A significant and surprising finding is that excitation of the CC stretch in combination with excitation of either the symmetric and/or antisymmetric stretch increases the reactivity significantly. A simple Franck–Condon model is used to rationalize these mode specific effects. The thermal rate constant for the H2+C2H→H+C2H2 reaction is also calculated in the temperature range from 200 to 400 K, and compared to limited experimental data.
36 citations
TL;DR: In this paper, the authors show that for all possible types of kernels, symmetric, antisymmetric, degenerate, non-degenerate, the test statistics are asymptotically normally distributed.
36 citations
TL;DR: In this paper, a vibronic theory of the Raman effect is developed within a semiclassical framework which provides explicit expressions for the symmetric and antisymmetric components of both the real and imaginary parts of the vibrational Raman transition tensor.
Abstract: A vibronic theory of the Raman effect is developed within a semiclassical framework which provides explicit expressions for the symmetric and antisymmetric components of both the real and imaginary parts of the vibrational Raman transition tensor. The antisymmetric component of the real part is shown to originate in vibronic coupling and to vanish completely at transparent frequencies. Dispersion and absorption lineshape functions are introduced, and by allowing for interference between the α and β electronic absorption bands in ferrocytochrome c, excitation profiles are derived for symmetric and antisymmetric resonance Raman scattering in this region which agree well with observation.
36 citations