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.

Analysis of CH2 ã 1A1 (1,0,0) and (0,0,1) Coriolis‐coupled states, ã 1A1–X̃ 3B1 spin–orbit coupling, and the equilibrium structure of CH2 ã 1A1 state

Abstract: The symmetric and antisymmetric stretch spectra of a 1A1 CH2 are measured with Doppler‐limited resolution by infrared flash‐kinetic spectroscopy between 2600 and 3050 cm−1. The spectra are significantly perturbed by spin–orbit interactions between near‐resonant levels of X 3B1 in both lower and upper levels of the transitions, and by Coriolis interaction between symmetric and antisymmetric stretch states. The triplet character of the perturbed levels is detected by observing broadening of MJ structure in a magnetic field of about 1 kG. The levels that are likely to be perturbed by triplet methylene are identified using the experimentally observed and theoretically calculated 3B1 energy level structure. The term values of the remaining symmetric and antisymmetric stretch levels are simultaneously fit to Watson’s Hamiltonian including Coriolis coupling. This analysis provides the remaining information needed to determine the equilibrium rotational constants [Ae =19.8054(206), Be=11.2489(45), and Ce =7.238...

The effects of couplings to symmetric and antisymmetric modes and minor asymmetry on the spectral properties of mixed-valence and related charge-transfer systems

Abstract: The most common methods used to describe the energy levels of charge-transfer systems (including mixed-valence systems) are the linear response approach of Rice and co-workers and the essentially equivalent PKS model described initially by Piepho, Krausz, and Schatz. While these methods were quite successful, in their original form they omitted the effects of overall symmetric vibrations. As a consequence, in particular they were not capable of adequately describing the electronic band width in the strong-coupling limit: Hush and later Ondrechen et al. demonstrated that symmetric modes are essential in this case, and modern versions of these models now include them. Here, we explore the relationship between symmetric and antisymmetric modes, concentrating on how this is modified by the presence of weak (e.g., environmentally or substitutionally induced) asymmetry. For the symmetric case, we show that when the electronic Hamiltonian operators are transformed from their usual localized diabatic representation into a delocalized diabatic representation, the effects of the symmetric and antisymmetric modes are interchanged. The primary effect of weak asymmetry is to mix the properties of the various modes, and possible consequences of this for the spectroscopy of bacterial photosynthetic reaction centre and substituted Creutz—Taube cations are discussed. We also consider the problem from an adiabatic Bom—Oppenheimer perspective and examine the regions in which this approach is appropriate.

Operator product expansion of higher rank Wilson loops from D-branes and matrix models

Abstract: In this paper we study correlation functions of circular Wilson loops in higher dimensional representations with chiral primary operators of = 4 super Yang-Mills theory. This is done using the recently established relation between higher rank Wilson loops in gauge theory and D-branes with electric fluxes in supergravity. We verify our results with a matrix model computation, finding perfect agreement in both the symmetric and the antisymmetric case.

Thermoelastic analysts of laminated plates. 2: antisymmetric cross-ply and angle-ply laminates

Abstract: Thermal deformations and stress resultants in rectangular, antisymmetric cross-ply and angle-ply laminates are investigated. Exact solutions are obtained for the response of simply supported plates to general three-dimensional temperature variations. To illustrate the thermoelastic behavior, deflections are computed for fiber-reinforced laminates undergoing constant and linearly varying temperature fields. Thermal membrane-bending coupling is found to be significant when the total number of layers is small, but it rapidly becomes unimportant as the number of layers within a plate of a given thickness increases.