An inversion formula for transport equation in 3-dimensions using several complex variable analysis

In this paper, the photon stationary transport equation has been extended from $\mathbb{R}^3$ to $\mathbb{C}^3$. A solution of the inverse problem is obtained on a hyper-sphere and a hyper-cylinder as X-ray and Radon transform, respectively. We show that these results can be transformed into each other and they agree with known results

A new formalism for the estimation of the CP-violation parameters

In this paper, we use the time super-operator formalism in the 2-level Friedrichs model \cite{fried} to obtain a phenomenological model of mesons decay. Our approach provides a fairly good estimation of the CP symmetry violation parameter in the case of K, B and D mesons. We also propose a crucial test aimed at discriminating between the standard approach and the time super-operator approach developed throughout the paper

The effects of curcumin and a modified curcumin formulation on serum Cholesteryl Ester Transfer Protein concentrations in patients with metabolic syndrome: A randomized, placebo-controlled clinical trial

Objective: Cholesteryl Ester Transfer Protein (CETP) mediates the transfer of cholesteryl ester from HDL-C to LDL-C and VLDL-C. The aim of the present trial was to evaluate the effect of curcumin and its modified formulation on serum CETP concentrations in patients with metabolic syndrome. Materials and Methods: Participants were randomly allocated to one of three groups of 40 subjects receiving either unmodified curcumin or its phospholipid complex or placebo. Lipid profile and plasma CETP were measured at the start and sixweeksafter initiation of the treatment.The normality of data distribution was assessed by Kolmogorov-Smirnov test. Wilcoxon test was used for comparing the data before and after the intervention. The percent changes of CETP and biochemical factors among the three groups were compared using Kruskal-Wallis test. Results: Serum CETP levels were not significantly altered among patients receiving curcumin. Conclusion: Curcumin and its complex had no significant effect on serum CETP concentrations

Chaos, entropie et durée de vie dans les systèmes classiques et quantiques.

In this thesis, we first study Lorentz gas as abilliard ball with elastic collision with the obstacles and a system of hard spheres in 2-dimensions. We study a numerical simulation of the dynamical system and we investigate the entropy increasing in non-equilibrium with time under the effect of collisions and its relation to positive Lyapunov exponent. Then, we study a decay model in a quantum system which called Friedrichs model. In a work, we consider coupling of the kaons and environment with continuous energies. Then, we show that this model well adapted in order to describe oscillation, regeneration, decay and CP violation of a kaonic system. In the other work, we apply in the Friedrichs model, the timesuper-operator formalize that predicts the resonance, i.e. the survival probability of the instable states.Dans cette thèse, nous étudions un modèle de décroissance (decay) d'un système quantique à plusieurs niveaux appelé le modèle de Friedrichs. Dans un premier travail, nous considérons un couplage d'un kaon avec un environnement décrit par un continuum d'énergie. On montre que les oscillations du kaon entre les états K_1, K_2, leur decay et la violation CP sont bien décrits par ce type de modèle. Ensuite, nous appliquons à ce modèle le formalisme de l'opérateur de temps qui décrit la résonance, c'est-à-dire la probabilité de survie des états instables. Enfin, nous considérons un gaz de Lorentz comme un ensemble de boules de billard avec des collisions élastiques contre des obstacles et un système de sphères dures en dimension 2. Nous étudions la simulation numérique de la dynamique du système et calculons l'augmentation de l'entropie de non-équilibre au cours du temps sous l'effet des collisions et sa relation avec les exposants de Lyapounov positifs

An Application of the Madelung Formalism for Dissipating and Decaying Systems

This paper is concerned with the modeling and analysis of quantum dissipation and diffusion phenomena in the Schrödinger picture. We derive and investigate in detail the Schrödinger-type equations accounting for dissipation and diffusion effects. From a mathematical viewpoint, this equation allows one to achieve and analyze all aspects of the quantum dissipative systems, regarding the wave equation, Hamilton–Jacobi and continuity equations. This simplification requires the performance of “the Madelung decomposition” of “the wave function”, which is rigorously attained under the general Lagrangian justification for this modification of quantum mechanics. It is proved that most of the important equations of dissipative quantum physics, such as convection-diffusion, Fokker–Planck and quantum Boltzmann, have a common origin and can be unified in one equation

Using Spectral Representation to Classify Proteins’ Conformational States

Numerous proteins are molecular targets for drug action and hence are important in drug discovery. Structure-based computational drug discovery relies on detailed information regarding protein conformations for subsequent drug screening in silico. There are two key issues in analyzing protein conformations in virtual screening. The first considers the protein’s conformational change in response to physical and chemical conditions. The second is the protein’s atomic resolution reconstruction from X-ray crystallography or nuclear magnetic resonance (NMR) data. In this latter problem, information is needed regarding the sample’s position relative to the source of X-rays. Here, we introduce a new measure for classifying protein conformational states using spectral representation and Wigner’s D-functions. Predictions based on the new measure are in good agreement with conformational states of proteins. These results could also be applied to improve conformational alignment of the snapshots given by protein crystallography

Wave function model for the CP-violation in mesons

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Quantum-mechanical decay laws in the neutral kaons

The Hamiltonian Friedrichs model [1] describing the evolution of a two-level system coupled to a continuum is used in order to modelize the decay of the kaon states K 1, K 2. Using different cut-off functions of the continuous degrees of freedom, we show that this model leads to a CP violation that qualitatively fits with experimental data improving previous numerical estimates. We also discuss the relation of our model to other models of open systems. © 2007 IOP Publishing Ltd.SCOPUS: ar.jinfo:eu-repo/semantics/publishe