Static Properties of Trapped Bose Gases at Finite Temperature: I. Thomas- Fermi Limit

We rely on a variational approach to derive a set of equations governing a trapped self-interacting Bose gas at finite temperature. In this work, we analyze the static situation both at zero and finite temperature in the Thomas-Fermi limit. We derive simple analytic expressions for the condensate properties at finite temperature. The noncondensate and anomalous density profiles are also analyzed in terms of the condensate fraction. The results are quite encouraging owing to the simplicity of the formalism.Comment: 11 pages, 9 figures, revised versio

BEC From a Time-Dependent Variational Point of View

We use the time-dependent variational of Balian and Veneroni to derive a set of equations governing the dynamics of a trapped Bose gas at finite temperature. We show that this dynamics generalizes the Gross-Pitaevskii equations in that it introduces a consistent coupling between the evolution of the condensate density, the thermal cloud and the anomalous density.Comment: 13 page

Anomalous Effects in a Trapped Bose-Einstein Condensate

We study the anomalous density in an ultra-cold trapped bose gas in a variational framework, for both zero and finite temperature. We show that it is finite in 1D, while it is logarithmically and linearly divergent in 2D and 3D. The renormalization that we adopt is more reliable and compatible with the variational scheme. The main outcome is that the anomalous and non condensate densities are of theComment: 14 page

Almond variety detection using deep learning

Quality is the major factor for modern industries because the high-quality of products is the basis for success in today’s highly competitive market, so improving the product quality is not a choice is paramount to any business to be even competitive. This thesis aims to solve one of the many problems that exist in today’s market, with regard to the quality and how to evaluate the quality before putting the product in the market. We have implemented a Deep-learning based technique that helps classify/identify almonds based only on their visual features, this can help in many ways from which we can mention: supply chain optimization, Sorting food, and matching customer taste . . . . In the conclusion of this thesis, we propose many features that can be developed that can be added to our model, from scaling it to other products, to deploying it, in order to reach the full potential of our solution.A qualidade é o principal fator para as indústrias modernas porque a alta qualidade dos produtos é a base para o sucesso no mercado altamente competitivo de hoje, portanto, melhorar a qualidade do produto não é uma escolha é fundamental para qualquer empresa ser ainda competitiva. Esta tese visa solucionar um dos muitos problemas que existem no mercado atual, no que diz respeito à qualidade e como avaliar a qualidade antes de colocar o produto no mercado. Implementamos uma técnica baseada em aprendizagem profunda que ajuda a classificar / identificar amêndoas com base apenas em seus recursos visuais, isso pode ajudar de várias maneiras, das quais podemos mencionar: otimização da cadeia de fornecimento, classificação automática de alimentos e resposta personalizada/ adaptada ao cliente. Na conclusão desta tese, propomos muitos recursos que podem ser desenvolvidos e que podem ser adicionados ao nosso modelo, desde o dimensionamento para outros produtos, até a implantação, a fim de atingir todo o potencial da nossa solução

Relationship between Economic Growth and Unemployment Rates in the Algerian Economy: Application of Okun’s Law during 1991–2019

This paper aims to examine the Algerian economy by applying Okun’s law to study the impact of real GDP on unemployment rates and examine the impact of labour market protection policies on Okun’s coefficients. The annual data on the Algerian economy for the period 1991–2019 were used. The autoregressive distributed lag (ARDL) bounds testing technique model was used in conjunction with the gap version for Okun’s coefficients. The empirical results show that Okun’s law operates in Algeria’s economy. Coefficients estimated using the gap version led to the conclusion that there was a negative and significant impact of the GDP gap on unemployment rates. Though there was a decline in unemployment as GDP increased, the rise in employment was very weak for each 1% increase in the GDP. These findings should be of significant interest to regulators and policymakers in the Algerian economy, practitioners and academic researchers, international and national investors, managers and any other groups interested in the labour market in the Algerian economy and the labour markets of other developing economies. The paper provides the real GDP’s effect on unemployment rates in Algeria by releasing the gap version for Okun’s coefficient. Also, it provides evidence that increased labour market protection mitigates the adverse effects of a decrease in output growth rate on employment

The Poisson structure of the mean-field equations in the Phi^4 theory

We show that the mean-field time dependent equations in the Phi^4 theory can be put into a classical non-canonical hamiltonian framework with a Poisson structure which is a generalization of the standard Poisson bracket. The Heisenberg invariant appears as a structural invariant of the Poisson tensor. (To be pubished in Annals of Physics)Comment: 12 pages Te