نتایج جستجو برای: lankford coefficients
تعداد نتایج: 105336 فیلتر نتایج به سال:
We reconsider the quasi exactly solvable matrix models constructed recently by R. Zhdanov. The 2×2 matrix operators representing the algebra sl(2) are generalized to matrices of arbitrary dimension and a similar construction is achieved for the algebra sl(n). ∗† Work supported by grant no KBN 2P03B07610 1. Recently Zhdanov [1],[2] considered the realizations of the sl(2) algebra in terms of fir...
Dynamical quantum groups were recently introduced by Etingof and Varchenko as an algebraic framework for studying the dynamical Yang–Baxter equation, which is precisely the Yang–Baxter equation satisfied by 6j-symbols. We investigate one of the simplest examples, generalizing the standard SU(2) quantum group. The matrix elements for its corepresentations are identified with Askey–Wilson polynom...
Kostka numbers and Littlewood-Richardson coefficients play an essential role in the representation theory of the symmetric groups and the special linear groups. There has been a significant amount of interest in their computation ([1], [10], [11], [2], [3]). The issue of their computational complexity has been a question of folklore, but was asked explicitly by E. Rassart [10]. We prove that th...
There appear to be two standard ways of calculation C-G coefficients in quantum mechanics. One method is to combine the “ladder” operator approach with orthogonality conditions. The second method is to use some type of closed form [2] which allows the coefficients to be calculated directly. However, the latter approach is at times considered “tedious” [2] and does not reveal any new information...
An expression for the kth power of an n×n determinant in n2 indeterminates (zij) is given as a sum of monomials. Two applications of this expression are given: the first is the Regge generating function for the Clebsch-Gordan coefficients of the unitary group SU (2), noting also the relation to the 3F2 hypergeometric series; the second is to the even powers of the Vandermonde determinant, or, e...
We characterize the angular polyspectra, of arbitrary order, associated with isotropic fields defined on the sphere S 2 = ˘ (x, y, z) : x 2 + y 2 + z 2 = 1 ¯. Our techniques rely heavily on group representation theory, and specifically on the properties of Wigner matrices and Clebsch-Gordan coefficients. The findings of the present paper constitute a basis upon which one can build formal proced...
Typically, physical properties of composite materials are strongly dependent on the microstructure. However, in exceptional situations, there exists exact formulas for the effective properties of composites which are microstructure-independent. These formulas represent fundamental physical invariances. The classical approach to exact relations suffered from the drawback that the methods used we...
Press New to initialize a next-generation SIR-model on a network GReg(200, 4) with one index case in an otherwise susceptible population. Press Metrics to verify that R0 = 2. By the result of our module The replacement number at this website we should have Rst t ≈ 1.5 > 1 for sufficiently small positive t. Thus we would expect to see a significant proportion of major outbreaks in addition to so...
background and objective: co-authorship on writing articles is one of the indicators of reliability in scientific articles. due to the lack of information regarding to the rate of participation of the authors of articles in the ” iranian journal of pathology” this research with the aim of the survey of collaborative coefficients of article authors in this journal from 2006 to 2012 was performe...
N-body Networks: a Covariant Hierarchical Neural Network Architecture for Learning Atomic Potentials
We describe N–body networks, a neural network architecture for learning the behavior and properties of complex many body physical systems. Our specific application is to learn atomic potential energy surfaces for use in molecular dynamics simulations. Our architecture is novel in that (a) it is based on a hierarchical decomposition of the many body system into subsytems (b) the activations of t...
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