Results 61 to 70 of about 1,056 (198)

Equilibrium positions, shape invariance and Askey–Wilson polynomials [PDF]

Journal of Mathematical Physics, 2005
We show that the equilibrium positions of the Ruijsenaars–Schneider–van Diejen systems with the trigonometric potential are given by the zeros of the Askey–Wilson polynomials with five parameters. The corresponding single particle quantum version, which is a typical example of “discrete” quantum mechanical systems with a q-shift type kinetic term, is ...
Odake, Satoru, Sasaki, Ryu
openaire   +3 more sources

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

The Universal Askey-Wilson Algebra

Symmetry, Integrability and Geometry: Methods and Applications, 2011
In 1992 A. Zhedanov introduced the Askey-Wilson algebra AW=AW(3) and used it to describe the Askey-Wilson polynomials. In this paper we introduce a central extension Δ of AW, obtained from AW by reinterpreting certain parameters as central elements in ...
Paul Terwilliger
doaj   +1 more source

Factorization of colored knot polynomials at roots of unity

Physics Letters B, 2015
HOMFLY polynomials are the Wilson-loop averages in Chern–Simons theory and depend on four variables: the closed line (knot) in 3d space–time, representation R of the gauge group SU(N) and exponentiated coupling constant q.
Ya. Kononov, A. Morozov
doaj   +1 more source

Social Class Discrimination and Academic Success: A Person‐Centered Approach Among Adolescents Disadvantaged in Social Class

Journal of Adolescence, EarlyView.
ABSTRACT Introduction Prior research indicates that social class is strongly associated with academic outcomes such as GPA. However, little work explores the role that social discrimination plays in this relation. This study examined the link between social class discrimination and academic outcomes among high school students.
Christine R. Starr, Anna P. Veenendall, Zena R. Mello   +2 more
wiley   +1 more source

Double Affine Hecke Algebras of Rank 1 and the Z_3-Symmetric Askey-Wilson Relations

Symmetry, Integrability and Geometry: Methods and Applications, 2010
We consider the double affine Hecke algebra H=H(k_0,k_1,k_0^v,k_1^v;q) associated with the root system (C_1^v,C_1). We display three elements x, y, z in H that satisfy essentially the Z_3-symmetric Askey-Wilson relations.
Paul Terwilliger, Tatsuro Ito
doaj   +1 more source

Decision‐making and risk‐taking as predictors of health risk behaviors in the Millennium Cohort Study

JCPP Advances, EarlyView.
Abstract Background Facets of decision‐making and risk‐taking are implicated in adolescent health risk behaviors; however, whether they may lead to adolescent engagement in substance use, gambling, and self‐harm is unknown. Methods We used the Millennium Cohort Study to test whether a task‐based measure of decision‐making and risk‐taking predicts ...
Nicole G. Hammond, Georgia Condran, Elise E. DeVito, Marie‐Claude Geoffroy, Ian Colman   +4 more
wiley   +1 more source

Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz

Nuclear Physics B, 2019
An operator of Heun-Askey-Wilson type is diagonalized within the framework of the algebraic Bethe ansatz using the theory of Leonard pairs. For different specializations and the generic case, the corresponding eigenstates are constructed in the form of ...
Pascal Baseilhac, Rodrigo A. Pimenta
doaj   +1 more source

On the botanical history and nomenclature of the New World genus Piscidia (Fabaceae)

Nordic Journal of Botany, EarlyView.
Piscidia L. (Fabaceae) is a New World genus with nine recognized taxa (seven species and two varieties). The previous nomenclatural revisions, made in 1910 and in 1969, are revisited here. The names Derris grandifolia Heyde & Lux ex Donn.Sm. and P. cubensis Urb. required step II lectotypifications, with an epitype for the latter name.
Camila Sánchez‐ Vega, Kanchi Gandhi, Alfonso Delgado‐ Salinas, Benjamin Deloso, Javier Francisco‐ Ortega   +4 more
wiley   +1 more source

Estimation of Two Component Activities of Binary Liquid Alloys by the Pair Potential Energy Containing a Polynomial of the Partial Radial Distribution Function

Metals, 2023
An investigation of partial radial distribution functions and atomic pair potentials within a system has established that the existing potential functions are rooted in the assumption of a static arrangement of atoms, overlooking their distribution and ...
Jiulong Hang, Dongping Tao
doaj   +1 more source