Lax pair for SU(n) Hubbard model

For one dimensional SU(n) Hubbard model, a pair of Lax operators are derived, which give a set of fundamental equations for the quantum inverse scattering method under both periodic and open boundary conditions. This provides another proof of the integrability of the model under periodic boundary condition.Comment: Latex file, 7 pages, little change adde

Fermionic R-Operator and Integrability of the One-Dimensional Hubbard Model

We propose a new type of the Yang-Baxter equation (YBE) and the decorated Yang-Baxter equation (DYBE). Those relations for the fermionic R-operator were introduced recently as a tool to treat the integrability of the fermion models. Using the YBE and the DYBE for the XX fermion model, we construct the fermionic R-operator for the one-dimensional (1D) Hubbard model. It gives another proof of the integrability of the 1D Hubbard model. Furthermore a new approach to the SO(4) symmetry of the 1D Hubbard model is discussed.Comment: 25 page

Analytic Bethe Ansatz for 1-D Hubbard model and twisted coupled XY model

We found the eigenvalues of the transfer matrices for the 1-D Hubbard model and for the coupled XY model with twisted boundary condition by using the analytic Bethe Ansatz method. Under a particular condition the two models have the same Bethe Ansatz equations. We have also proved that the periodic 1-D Hubbard model is exactly equal to the coupled XY model with nontrivial twisted boundary condition at the level of hamiltonians and transfer matrices.Comment: 22 pages, latex, no figure

Identification of Influencers in eWord-of-Mouth communities using their Online Participation Features

[EN] The identification of influencers in any type of online social network is of paramount importance, as they can significantly affect consumers’ purchasing decisions. This paper proposes the utilization of a self-designed web scraper to extract meaningful information for the identification of influencers and the analysis of how this new set of variables can be used to predict them. The experimental results from the Ciao UK website will be used to illustrate the proposed approach and to provide new insights in the identification of influencers. Obtained results show the importance of the trust network, but considering the intensity and the quality of both trustors and trustees.Olmedilla, M.; Arenas-Márquez, FJ.; Martinez-Torres, MR.; Toral, SL. (2016). Identification of Influencers in eWord-of-Mouth communities using their Online Participation Features. En CARMA 2016: 1st International Conference on Advanced Research Methods in Analytics. Editorial Universitat Politècnica de València. 38-45. https://doi.org/10.4995/CARMA2016.2016.3642OCS384

Fermionic R-Operator and Algebraic Structure of 1D Hubbard Model: Its application to quantum transfer matrix

The algebraic structure of the 1D Hubbard model is studied by means of the fermionic R-operator approach. This approach treats the fermion models directly in the framework of the quantum inverse scattering method. Compared with the graded approach, this approach has several advantages. First, the global properties of the Hamiltonian are naturally reflected in the algebraic properties of the fermionic R-operator. We want to note that this operator is a local operator acting on fermion Fock spaces. In particular, SO(4) symmetry and the invariance under the partial particle hole transformation are discussed. Second, we can construct a genuinely fermionic quantum transfer transfer matrix (QTM) in terms of the fermionic R-operator. Using the algebraic Bethe Ansatz for the Hubbard model, we diagonalize the fermionic QTM and discuss its properties.Comment: 22 pages, no figure

Goal-setting and players' perception of their effectiveness in mini-basketball

The purpose of the study was to assess the effect of an intervention program of goal setting using written report as feedback and controlling players' perception during the competitive season of a mini-basketball team. The intervention program was implemented on under-12 male mini-basketball team. The independent variable was the application of the intervention program of the goal-setting. The dependent variables were players' perception, and level of achievement of the goals. Three-four goals were design for each player. After each match, the players indicated in a scale from 0 to 10 their perception about the level of achievement of the goals. First day of practice of the week, the achievement of the goals and their perception was shown to the players. The results found show that: a) a reduction between the differences of the players' perception and the goal achievement through the season, and b) a significant increase through the season of the achievement of the goals was found. The study may be a reference to help coaches to implement goal-setting in youth teams

Commuting quantum transfer matrix approach to intrinsic Fermion system: Correlation length of a spinless Fermion model

The quantum transfer matrix (QTM) approach to integrable lattice Fermion systems is presented. As a simple case we treat the spinless Fermion model with repulsive interaction in critical regime. We derive a set of non-linear integral equations which characterize the free energy and the correlation length of $$ for arbitrary particle density at any finite temperatures. The correlation length is determined by solving the integral equations numerically. Especially in low temperature limit this result agrees with the prediction from conformal field theory (CFT) with high accuracy.Comment: 17 page

Multi-Component KdV Hierarchy, V-Algebra and Non-Abelian Toda Theory

I prove the recently conjectured relation between the $2\times 2$-matrix differential operator $L=\partial^2-U$, and a certain non-linear and non-local Poisson bracket algebra ($V$-algebra), containing a Virasoro subalgebra, which appeared in the study of a non-abelian Toda field theory. Here, I show that this $V$-algebra is precisely given by the second Gelfand-Dikii bracket associated with $L$. The Miura transformation is given which relates the second to the first Gelfand-Dikii bracket. The two Gelfand-Dikii brackets are also obtained from the associated (integro-) differential equation satisfied by fermion bilinears. The asymptotic expansion of the resolvent of $(L-\xi)\Psi=0$ is studied and its coefficients $R_l$ yield an infinite sequence of hamiltonians with mutually vanishing Poisson brackets. I recall how this leads to a matrix KdV hierarchy which are flow equations for the three component fields $T, V^+, V^-$ of $U$. For $V^\pm=0$ they reduce to the ordinary KdV hierarchy. The corresponding matrix mKdV equations are also given, as well as the relation to the pseudo- differential operator approach. Most of the results continue to hold if $U$ is a hermitian $n\times n$-matrix. Conjectures are made about $n\times n$-matrix $m^{\rm th}$-order differential operators $L$ and associated $V_{(n,m)}$-algebras.Comment: 20 pages, revised: several references to earlier papers on multi-component KdV equations are adde

Valores de referencia en el número de autores en las mejores publicaciones de revistas científicas en el área de las ciencias de la actividad física y del deporte

The purpose of this study is to analyze the number of authors of the articles in the sciences of physical activity and sport in the Web of Science. Ten artices with more citations of the 10 journals with the highest impact factor in 2012 (JCR), the thematic area «Sport Science» and the 10 articles with more citations of the 10 related journals were analyzed sports science, with highest impact in 2012 (JCR) of area «Hospitality Leisure sport Tourism». The most significant results indicated that: a) the average number of authors in the journals of the subject area «Sport Science», is 3-4 authors, while in the related sports science journals Area «Hospitality Leisure Sport Tourism «is between 2-3 authors. These data may serve as reference both evaluators as assessed in different criteria.El propósito del presente estudio es analizar el número de autores de los principales artículos relacionados con las ciencias de la actividad física y del deporte de la Web of Science. Para ello se analizaron los 10 artículos con mayor número de citas de las 10 revistas con mayor índice de impacto del año 2012 (JCR), del área temática “Sport Science” y los 10 artículos con mayor número de citas de las 10 revistas relacionadas con las ciencias del deporte, con mayor índice de impacto del año 2012 (JCR), del Área “Hospitality Leisure Sport Tourism”. Los resultados más significativos señalaron que: a) el número medio de autores en las revistas del área temática “Sport Science”, está entre 3-4 autores, mientas que en las revistas relacionadas con las ciencias del deporte del Área “Hospitality Leisure Sport Tourism”, se sitúa entre 2-3 autores. Estos datos pueden servir de referencia tanto a evaluadores como a evaluados en sus diferentes criterios