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We prove the cyclic sum formulas for certain two-parameter multiple series. These are new and non-trivial generalizations of the cyclic sum formulas for multiple zeta values and multiple zeta-star values.

Number Theory · Mathematics 2022-06-03 Masahiro Igarashi

Polarized antiprotons produced by spin filtering with an internal polarized gas target provide access to a wealth of single-- and double--spin observables, thereby opening a window to physics uniquely accessible with the HESR at FAIR. This…

High Energy Physics - Experiment · Physics 2017-08-23 Frank Rathmann

Recently, the properties of a binomial sum related to the multi-link inverted pendulum enumeration problem have been studied. In this note, we establish bounds for this binomial sum.

Probability · Mathematics 2014-11-05 Eliardo G. Costa

Spin and electric Hall currents are calculated numerically in a two-dimensional mesoscopic system with Rashba and Dresselhaus spin-orbit coupling by means of the Landauer-Buttiker formalism. It is found that both electric and spin Hall…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jian Li , Liangbin Hu , Shun-Qing Shen

In this paper, we study the alternating Euler $T$-sums and related sums by using the method of contour integration. We establish the explicit formulas for all linear and quadratic Euler $T$-sums and related sums. Some interesting new…

Number Theory · Mathematics 2020-06-22 Weiping Wang , Ce Xu

The spin correlation of back-to-back dihadron emerges in unpolarized high-energy collision, empowering unpolarized experiments to shed light on the spin-dependent fragmentation functions. This work investigates the transverse spin…

High Energy Physics - Phenomenology · Physics 2025-03-18 Lei Yang , Yu-Kun Song , Shu-Yi Wei

Two properties of the radiation emitted by a relativistic electron in an external field, in the classical approximation, are presented in details: 1) spectral sum rules and their relationship with the sum rules for oscillator strength in…

High Energy Physics - Phenomenology · Physics 2020-06-24 Xavier Artru

We propose a new type of state sum model for two-dimensional surfaces that takes into account topology and spin. The definition used - new to the literature - provides a rich class of extended models called spin models. Both examples and…

Quantum Algebra · Mathematics 2014-12-18 Sara Oriana Gomes Tavares

The notion of the weighted core inverse in a ring with involution was introduced, recently [Mosic et al. Comm. Algebra, 2018; 46(6); 2332-2345]. In this paper, we explore new representation and characterization of the weighted core inverse…

Rings and Algebras · Mathematics 2020-05-05 Sourav Das , Jajati Keshari Sahoo , Ratikanta Behera

A general, and very basic introduction to QCD sum rules is presented, with emphasis on recent issues to be described at length in other papers in this volume of Modern Physics Letters A. Collectively, these papers constitute the proceedings…

High Energy Physics - Phenomenology · Physics 2015-06-16 C. A. Dominguez

The main objective of this article is to study several generalizations of the reverse order law for the Moore-Penrose inverse in ring with involution.

Rings and Algebras · Mathematics 2014-01-31 Enrico Boasso , Dragana S. Cvetkovic-Ilic , Robin Harte

Access to the transverse spin of light has unlocked new regimes in topological photonics and optomechanics. To achieve the transverse spin of nonzero longitudinal fields, various platforms that derive transversely confined waves based on…

Optics · Physics 2018-05-23 Xianji Piao , Sunkyu Yu , Namkyoo Park

It has been known for a long time that light carries both linear and angular momenta parallel to the direction of propagation. However, only recently it has been pointed out that beams of light, under certain conditions, may exhibit a…

Optics · Physics 2015-02-23 Andrea Aiello , Peter Banzer

The spin polarization of electrons trapped in InAs self-assembled quantum dot ensembles is investigated. A statistical approach for the population of the spin levels allows one to infer the spin polarization from the measure values of the…

Materials Science · Physics 2008-04-04 F. G. G. Hernandez , T. P. Mayer Alegre , G. Medeiros-Ribeiro

The comparison of the polarization and spin of light is presented in the paper. It is shown that it is more easier and clearer to use the polarization of the light to explain the effect of the interaction of light and atoms than that of…

General Physics · Physics 2011-10-12 Guihua Tian

We present here necessary and sufficient conditions for the invertibility of circulant and symmetric matrices that depend on three parameters and moreover, we explicitly compute the inverse. The techniques we use are related with the…

Classical Analysis and ODEs · Mathematics 2015-05-30 A. Carmona , A. M. Encinas , S. Gago , M. J. Jiménez , M. Mitjana

We present a brief review on spin transverse force, which exerts on the spin as the electron is moving in an electric field. This force, analogue to the Lorentz force on electron charge, is perpendicular to the electric field and spin…

Mesoscale and Nanoscale Physics · Physics 2009-04-14 Bin Zhou , Shun-Qing Shen

We perform a new calculation of the polarized next-to-leading order splitting functions, using the method developed by Curci, Furmanski and Petronzio. We confirm the results of the recent calculation by Mertig and van Neerven.

High Energy Physics - Phenomenology · Physics 2014-11-17 W. Vogelsang

When light is passing through a rotating medium the optical polarisation is rotated. Recently it has been reasoned that this rotation applies also to the transmitted image (Padgett et al. 2006). We examine these two phenomena by extending…

Optics · Physics 2009-11-13 J. B. Goette , S. M. Barnett , M. Padgett

We discuss transverse spin effects caused by the spin-flip part of the Pomeron coupling with the proton. The predicted spin asymmetries in proton-proton scattering and QQ production in proton-proton and lepton-proton reactions are not small…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. V. Goloskokov
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