Showing papers on "Antisymmetric relation published in 1983"
TL;DR: In this paper, an extended geminal model is derived by applying perturbation theory to a matrix representation of the electronic Hamiltonian, which is formed by a complete set of orthogonal configuration functions generated from a given finite orbital basis set.
Abstract: An extended geminal model is derived by applying perturbation theory to a matrix representation of the electronic Hamiltonian. The matrix representation is formed by a complete set of orthogonal configuration functions generated from a given finite orbital basis set. By construction, the function defined by the APSG approximation (antisymmetric product of strongly orthogonal geminals) is an element of this set of configuration functions. Considering the nondiagonal part of the Hamiltonian matrix as the perturbation, our model is obtained by a partitioning and reordering of the infinite order Rayleigh–Schrodinger perturbation expansion. The model has a hierarchical structure, is size extensive, and has favorable properties with respect to interpretation. In a test calculation on the water molecule, it is demonstrated that the extended geminal model truncated at the double pair correction level, recovers 100.8% of the correlation energy defined by the corresponding full CI calculation.
48 citations
47 citations
TL;DR: In this paper, the parameters of the interacting boson model were calculated in a shell model framework, using a generalized seniority basis, and the effect of the neutron-proton interaction on the s- and d-boson structure was explicitly considered.
Abstract: The parameters of the interacting boson model are calculated in a shell model framework, using a generalized seniority basis. The effect of the neutron-proton interaction on the s- and d-boson structure is explicitly considered. The renormalization due to the truncation of the full fermion space to the S-D subspace is considered by taking the effects of the G-pair state into account using perturbation theory. It is found that this effects mainly the single boson energies and introduces a Majorana force that favors states symmetric in neutron and proton degrees of freedom over antisymmetric ones.
37 citations
TL;DR: In this paper, a simplified construction of "twist eating" configurations based on a theorem due to Frobenius is given, which is defined through the equation:UμUνUμ+Uν+=exp(2πinμν/N) withUμ∈SU(N), μ=1 tod andnμν an antisymmetric matrix with integer entries.
Abstract: We give a simplified construction of “twist eating” configurations, based on a theorem due to Frobenius. These configurations are defined through the equation:UμUνUμ+Uν+=exp(2πinμν/N) withUμ∈SU(N), μ=1 tod andnμν an antisymmetric matrix with integer entries. In the (Twisted)-Eguchi-Kawai model they yield extrema some of which survive forN→∞. Comparison is made with the Monte Carlo data of the internal energy in the small coupling region.
31 citations
29 citations
TL;DR: In this paper, the buckling and free vibration problem of a thin composite antisymmetric angle-ply laminated circular cylindrical shell is studied and Galerkin's method is used to solve it.
20 citations
TL;DR: In this paper, an unambiguous method for calculating branching rules for the classical subgroups of the even-dimensional rotation group SO2k was developed for the subgroups SUk*U1, SUk+1*SO2q, SO2p+1+1*, SO2q+1.
Abstract: Unambiguous methods are developed for calculating branching rules for the classical subgroups of the even-dimensional rotation group SO2k. Complete results are given for the subgroups SUk*U1, SO2k-2*U1, SO2p*SO2q and SO2p+1*SO2q+1. A number of examples relevant to problems in supergravity and unification theories are given. A complete resolution of the antisymmetric powers of the basic spinor irrep of SO10 is given and the results extended to SO11.
19 citations
TL;DR: For the Gaussian ensemble of Hermitian matrices with an arbitrary ratio of their symmetric and antisymmetric parts, the probability that an interval of length s contains exactly n eigenvalues of a random matrix is expressed in terms of their correlation functions as mentioned in this paper.
Abstract: The probability E(n,s) that an interval of length s contains exactly n eigenvalues of a random matrix is expressed in terms of their correlation functions. For the Gaussian ensemble of Hermitian matrices with an arbitrary ratio of their symmetric and antisymmetric parts the authors can thus write E(n,s) as a convergent infinite product multiplied by an infinite sum.
19 citations
TL;DR: In this article, the 16 O(α,γ) 20 Ne cross section with antisymmetric wave functions by the generator coordinate method is calculated with a Gaussian generator and the S-factor is found larger than usually assumed at low energies.
18 citations
TL;DR: In this paper, Uemura and Byon presented experimental results and a numerical analysis about the secondary buckling of clamped flal plates under uniaxial compression, however, their numerical analysis is based upon an inconsistent flat plate finite element and it does not take into account the important influence of antisymmetric imperfections.
Abstract: Uemura and Byon (Int. J. Non-Linear Mech. 13, 1–14, 1978) presented experimental results and a numerical analysis about the secondary buckling of clamped flal plates under uniaxial compression. However, their numerical analysis is based upon an inconsistent flat plate finite element and it does not take into account the important influence of antisymmetric imperfections. This paper presents and discusses F.E.M. results obtained by two computer codes using very different approaches, and compares these results with the experimental ones.
15 citations
TL;DR: In this article, the sensitivity of an optimally designed antisymmetric angle-ply laminate is investigated to determine the effect of variations in the design variables on the performance of the structure.
Abstract: Sensitivity of an optimally designed antisymmetric angle-ply laminate is investigated to determine the effect of variations in the design variables on the performance of the structure. The laminate is optimized with the objectives of minimizing the maximum dynamic deflection and/or maximizing the eigenfrequency of a given mode. The design variables are the fiber orientations of the individual layers and the optimum point is determined by solving a nonlinear mathematical programming problem. In the case of multipurpose problems, the laminate is optimized with respect to a given objective subject to a constraint, and such problems are solved by a penalty function technique. The formulae for first order sensitivities are derived and applied to some example problems. Global results on the sensitivities are obtained by solving a programming problem in a given sensitivity radius. The design problems, expressed in the form of inequality constraints, are dealt with by the use of performance contours. Numerical re...
TL;DR: In this paper, the properties of three types of linear non-divergent mass-wind laws on the sphere have been examined: linear-balance equation, spherical harmonic expansions of the linearized primitive equations, and Rossby-Hough expansions.
Abstract: The properties of 3 types of linear non-divergent mass-wind laws on the sphere have been examined: linear-balance equation, spherical harmonic expansions of the linearized primitive equations, and Rossby-Hough expansions. Both the symmetric and antisymmetric non-zonal cases are examined. The results show that all 3 methods are virtually equivalent for the antisymmetric case, but differ considerably for the symmetric case. All 3 methods, whether derived from the primitive equations or from a filtering approximation, appear to be singular at the equator in the symmetric case. DOI: 10.1111/j.1600-0870.1983.tb00181.x
TL;DR: In this article, the authors compared several finite element models and finite prism models based on the elasticity theory formulation for the analysis of antisymmetric angle-ply composite laminates.
TL;DR: In this article, momentum-space wave functions have been obtained for the one-dimensional hydrogen atom and the symmetric and antisymmetric states of the one−dimensional hydrogen molecule ion with δ-function interactions between the particles.
Abstract: The momentum‐space wave functions have been obtained for the one‐dimensional hydrogen atom and the symmetric and antisymmetric states of the one‐dimensional hydrogen molecule ion with δ‐function interactions between the particles. The uncertainty relation has been evaluated as a function of the distance between the nuclei in the molecule ion. For the symmetric state this is finite for the collapsed molecule. For the antisymmetric state the energy is positive for a nuclear separation less than a0=ℏ2/me2 and the uncertainty in the position of the electron is infinite.
TL;DR: In this article, the antisymmetric components of the 13 C nuclear magnetic shielding tensors have been calculated for 1-fluoro-1-chloroethane, acetaldehyde and formamide.
TL;DR: In this article, the authors have estimated the corrections due to the antisymmetric component of the envelope which appear in the expectation value of the ground-state energy and in the expression for the oscillator strength of the radiative recombination of an exciton bound to a neutral donor.
Abstract: In the exciton \char22{} neutral-donor complex, in the simple nondegenerate two-band semiconductor model, the electron-hole exchange interaction mixes the two sets of the doublet spin states, each corresponding to different symmetry with respect to interchange of two electrons. Therefore, the envelope of the complex is composed of spatial functions antisymmetric and symmetric with respect to electron interchange. We have estimated the corrections due to the antisymmetric component of the envelope which appear in the expectation value of the ground-state energy and in the expression for the oscillator strength of the radiative recombination of an exciton bound to a neutral donor.
TL;DR: In this article, it was shown that a lattice with antisymmetric insertions can be designed such that the driving term for the half-integer structure resonance is suppressed by cancellation of successive pairs of high-beta multiplets.
Abstract: High luminosity storage rings require good chromatic behavior for beams with large momentum spreads. This requires that the effects of half-integer structure resonances for off-momentum particles be minimized. We show that a lattice with antisymmetric insertions can be so designed that the driving term for the half-integer structure resonance is suppressed by cancellation of successive pairs of highbeta multiplets. Hence, even though the periodicity is half that of a lattice with symmetric insertions, the chromatic properties are similar.
TL;DR: In this paper, it was shown that if fermions are assigned to totally antisymmetric representation of SU(N), SU(3)c × U(1)em reality is sufficient condition for vanishing anomaly.
TL;DR: In this article, the motion of a viscous incompressible fluid in a semi-infinite channel is considered in the linearized theory of free interaction, and at some distance from the intake the independently developing on both side walls boundary layers begin to interact over the potential main body of the stream.
TL;DR: In this article, a simple polynomial co-ordinate function and the Ritz method are used to solve the title problem for circular plates of uniform thickness and the algorithm yields very accurate results in the case of circular plates with uniform thickness.
TL;DR: In this article, the structure of possible single mass equations for an antisymmetric tensor-bispinor is examined and it is shown that all spin-3/2 single-mass equations are reducible.
Abstract: The structure of possible single mass equations for an antisymmetric tensor-bispinor is examined. It is shown that all spin-3/2 single mass equations are reducible.
01 Jan 1983
TL;DR: In this paper, the minimum weight design problem for Timoshenko and Euler beams subjected to multi-frequency constraints is discussed, and the authors reveal the abnormal characteristics of optimal Timoshenko beams and demonstrate the need for including maximum cross sectional area constraint in the problem formulation in order to have a well-posed problem.
Abstract: The present paper discusses the minimum weight design problem for Timoshenko and Euler beams subjected to multi-frequency constraints. Taking the simply-supported symmetric beam as an example, we reveal the abnormal characteristics of optimal Timoshenko beams, i.e., the frequency corresponding to the first symmetric vibration mode could be higher than the frequency of antisymmetric vibration mode if a very thin and high strip is suitably formed at the middle of the beam, and, optimal Timoshenko beams subjected to two different sets of frequency constraints could have the same minimum weight. The above abnormal characteristics demonstrate the need for including maximum cross sectional area constraint in the problem formulation in order to have a well-posed problem.
TL;DR: In this paper, the authors determine a number of arcs guaranteeing the existence of a path of length l in an oriented graph (or antisymmetric digraph) which is strong or not.
Abstract: In this article we determine a number of arcs guaranteeing the existence of a path of length l in an oriented graph (or antisymmetric digraph) which is strong or not. The given condition is shown to be best possible except for a strong oriented graph with strictly more than 2l -2 vertices, in which case we suggest a conjecture.
TL;DR: In this paper, the displacement functions for both the statical and free-vibrational case are derived based on a Levy type solution method of plate analysis for some boundary conditions not previously considered by other investigators.