Hyperbolic Unit Groups and Quaternion Algebras

We Classify the rational quadratic extensions K and the finite groups G for which the group ring R[G] of G over the ring R of integers of K has the property that the group of units of augmentation 1 of R[G] is hyperbolic. We also construct units in a non-split quaternion algebra over R.Comment: 15 pages, this work is part of the PHd. Thesis of the third author. The paper was accepted in Proceedings Mathematical Science

Test of Chemical freeze-out at RHIC

We present the results of a systematic test applying statistical thermal model fits in a consistent way for different particle ratios, and different system sizes using the various particle yields measured in the STAR experiment. Comparison between central and peripheral Au+Au and Cu+Cu collisions with data from p+p collisions provides an interesting tool to verify the dependence with the system size. We also present a study of the rapidity dependence of the thermal fit parameters using available data from RHIC in the forward rapidity regions and also using different parameterization for the rapidity distribution of different particles.Comment: SQM2008 conference proceeding

Vacuumless kinks systems from vacuum ones, an example

Some years ago, Cho and Vilenkin, introduced a model which presents topological solutions, despite not having degenerate vacua as is usually expected. Here we present a new model with topological defects, connecting degenerate vacua but which in a certain limit recovers precisely the one proposed originally by Cho and Vilenkin. In other words, we found a kind of parent model for the so called vacuumless model. Then the idea is extended to a model recently introduced by Bazeia et al. Finally, we trace some comments the case of the Liouville model.Comment: 11 pages, 4 figure

Position-dependent-mass; Cylindrical coordinates, separability, exact solvability, and PT-symmetry

The kinetic energy operator with position-dependent-mass in cylindrical coordinates is obtained. The separability of the corresponding Schr\"odinger equation is discussed within radial cylindrical mass settings. Azimuthal symmetry is assumed and spectral signatures of various z-dependent interaction potentials (Hermitian and non-Hermitian PT-symmetric) are reported.Comment: 16 page

Caracterização morfológica de acessos de bacurizeiro por meio de descritores florais.

O bacurizeiro é uma espécie frutífera originária da Amazônia, onde são encontradas amplas variações em forma e tamanho de frutos, rendimento e qualidade de polpa, dentre outras características de interesse (CAVALCANTE, 1996). Apesar de apresentar elevado potencial de uso na alimentação humana, ainda há carência de conhecimentos científicos sobre a espécie, com destaque para biologia floral, mecanismos reprodutivos, manejo cultural e estabelecimento de descritores mínimos. O objetivo deste trabalho foi efetuar, com base em descritores florais, a caracterização morfológica de acessos de bacurizeiro da Coleção de Germoplasma da Embrapa Meio-Norte, estabelecidos em Teresina-PI

Irreversibility and the arrow of time in a quenched quantum system

Irreversibility is one of the most intriguing concepts in physics. While microscopic physical laws are perfectly reversible, macroscopic average behavior has a preferred direction of time. According to the second law of thermodynamics, this arrow of time is associated with a positive mean entropy production. Using a nuclear magnetic resonance setup, we measure the nonequilibrium entropy produced in an isolated spin-1/2 system following fast quenches of an external magnetic field and experimentally demonstrate that it is equal to the entropic distance, expressed by the Kullback-Leibler divergence, between a microscopic process and its time-reverse. Our result addresses the concept of irreversibility from a microscopic quantum standpoint.Comment: 8 pages, 7 figures, RevTeX4-1; Accepted for publication Phys. Rev. Let

Experimental Determination of Thermal Entanglement in Spin Clusters using Magnetic Susceptibility Measurements

The present work reports an experimental observation of thermal entanglement in a clusterized spin chain formed in the compound Na$_2$Cu$_5$Si$_4$O$_{14}$. The presence of entanglement was investigated through two measured quantities, an Entanglement Witness and the Entanglement of Formation, both derived from the magnetic susceptibility. It was found that pairwise entanglement exists below $\sim 200$ K. Tripartite entanglement was also observed below $\sim 240$ K. A theoretical study of entanglement evolution as a function of applied field and temperature is also presented.Comment: Submited to Phys. Rev.

Estrutura genética populacional de bacurizeiros na região Meio-Norte do Brasil.

A região Meio-Norte caracteriza-se pela sua biodiversidade, com destaque para espécies frutíferas nativas, como, por exemplo, o bacurizeiro, cujos frutos são apreciados na alimentação pelas populações locais. A fragmentação e/ou desmatamento que ocorre nessa área causa danos para populações de plantas, afetando a estrutura genética destas. Assim esse estudo verificou a estruturação genética em cinco populações de bacurizeiro dos Estados do Maranhão e Piauí por meio de marcadores entre simples sequências repetidas (ISSR) e da análise de variância molecular. Da diversidade genética total, 28,88% foi dividido entre as populações e 77,16% dentro das populações, portanto há estruturação significativa entre as populações