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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.


Papers
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Journal ArticleDOI
TL;DR: In this paper, the authors considered the Dirichlet boundary condition on a given positive function that is invariant under all (Euclidean) symmetries of the square.

29 citations

Journal ArticleDOI
B. Tang1, E. G. Henneke1
TL;DR: In this article, a simple method for measuring Lamb wave phase velocities is used to obtain data for the lowest symmetric Lamb mode (S0) and the lowest antisymmetric Lamb modes (A0) for composite laminates.
Abstract: A simple method for measuring Lamb wave phase velocities is used to obtain data for the lowest symmetric Lamb mode (S0) and the lowest antisymmetric Lamb mode (A0) for composite laminates. The experimental data are compared with the results from an approximate theory for the lowest Lamb modes in the low frequency, long wavelength region for a unidirectional laminate, a symmetric cross-ply laminate, a symmetric quasi-isotropic laminate and an aluminum plate. There is good correlation between the data and the results from the approximate theory, which suggests that the approximate theory works well in the low frequency, long wavelength region in these cases. Also, this experimental procedure of measuring phase velocities of the lowest symmetric and antisymmetric modes can be used to characterize laminated composite plates with and without damage since each material and stacking sequence gives distinct lowest symmetric and antisymmetric curves.

29 citations

Book ChapterDOI
TL;DR: In this paper, the authors discuss matrix elements and density matrices for many-electron spin eigenstates built from orthonormal orbitals, which are also eigenfunctions of the total spin operators.
Abstract: Publisher Summary This chapter discusses matrix elements and density matrices for many-electron spin eigenstates built from orthonormal orbitals. For an important class of many-electron problems, namely, those governed by spin-free or nearly spin-free Hamiltonians, it is practically and theoretically useful to formulate many-electron wavefunctions that, in addition to being antisymmetric, are also eigenfunctions of the total spin operators. The most widespread method of constructing antisymmetric wavefunctions is by an expansion in terms of Slater determinants of orthonormal orbitals. Thereby quantum mechanical problems are transformed into matrix problems and the matrix elements are integrals involving two Slater determinants and certain dynamical operators. Slater determinants have, however, one shortcoming: In general, they are not eigenfunctions of the total spin operator. A second route can be considered as originating with Dirac's vector model. A third route is to construct spin eigenfunctions with the help of projection operators that are not derived from group theory. In all of these methods, the construction of wavefunctions with the desired characteristics is the simpler task. It is in the evaluation of the expectation values and matrix elements of the many-electron operators that complexities and complications arise.

29 citations

Journal ArticleDOI
TL;DR: The AdS/CFT correspondence is used to compute the energy radiated by an infinitely massive half-Bogomol'nyi-Prasad-Sommerfeld particle charged under N=4 super Yang-Mills theory, transforming in the symmetric or antisymmetric representation of the gauge group, and moving in the vacuum.
Abstract: We use the AdS/CFT correspondence to compute the energy radiated by an infinitely massive half-Bogomol'nyi-Prasad-Sommerfeld particle charged under N=4 super Yang-Mills theory, transforming in the symmetric or antisymmetric representation of the gauge group, and moving in the vacuum, to all orders in 1/N and for large 't Hooft coupling. For the antisymmetric case we consider D5-branes reaching the boundary of five-dimensional anti-de Sitter space (AdS(5)) at arbitrary timelike trajectories, while for the symmetric case, we consider a D3-brane in AdS(5) that reaches the boundary at a hyperbola. We compare our results to the one obtained for the fundamental representation, deduced by considering a string in AdS(5).

29 citations

Journal ArticleDOI
TL;DR: In this article, the authors considered expansive homeomorphisms with the specification property and gave a new simple proof of a large deviation principle for Gibbs measures corresponding to a regular potential and established a general symmetry of the rate function for the large deviations of the antisymmetric part, under time-reversal, of the potential.
Abstract: We consider expansive homeomorphisms with the specification property We give a new simple proof of a large deviation principle for Gibbs measures corresponding to a regular potential and we establish a general symmetry of the rate function for the large deviations of the antisymmetric part, under time-reversal, of the potential This generalizes the Gallavotti-Cohen fluctuation theorem to a larger class of chaotic systems

29 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023145
2022286
2021109
2020112
2019118
2018122