Showing papers on "Symmetrization published in 1970"
TL;DR: In this paper, generalized Racah tensors are defined after the manner of Elliott and Feneuille and the linear combinations ±w(κk, l, l′) used by them are redefined to permit the correct embedding of the group R4 in the higher groups that may be used to classify the states of mixed configurations.
Abstract: Generalized Racah tensors are defined after the manner of Elliott and Feneuille. The linear combinations ±w(κk)(l, l′) used by them are redefined to permit the correct embedding of the group R4 in the higher groups that may be used to classify the states of mixed configurations. A number of points regarding the transformation properties of states and operators are clarified and related to the problem of the symmetrization of the Coulomb repulsion in mixed configuations.
7 citations
TL;DR: In this paper, a method for computer programming of the solution of the eigenvalue equation GFL = LΛ is presented, which is a transformation by a triangular matrix V which simultaneously symmetrizes the product GF (VV † = G ) and eliminates the redundancies.
6 citations
01 Jan 1970
TL;DR: In this paper, a symmetrization result of Szego and a geometric lemma were used to generalize a distortion theorem of P6lya and Szeg6 for simply connected regions to doubly connected regions.
Abstract: In this paper we use a symmetrization result of Szego and a geometric lemma to generalize a distortion theorem of P6lya and Szeg6 for simply connected regions to doubly connected regions.
3 citations
01 Jan 1970
TL;DR: In this article, the authors give an analytical proof via the Perron-Frobenius theorem of a theorem of Hearon, and Parter and Youngs, about symmetrization of matrices by diagonal similarity and implements a related theorem of Goldberg.
Abstract: : The report gives an analytical proof via the Perron-Frobenius theorem of a theorem of Hearon, and Parter and Youngs, about symmetrization of matrices by diagonal similarity and implements a related theorem of Goldberg. (Author)
2 citations
TL;DR: In this article, a method of domain symmetrization based on identification of rectilinear boundary segments is sketched in some examples, which allows to prove some simle extremal properties of the first eigenvalue of a symmetric membrane.
Abstract: A method of domain symmetrization, based on identification of rectilinear boundary segments, is sketched in some examples. It allows to prove some simle extremal properties of the first eigenvalue of a symmetric membrane.