Quantum and Classical Fidelity for Singular Perturbations of the Inverted and Harmonic Oscillator

Let us consider the quantum/versus classical dynamics for Hamiltonians of the form \beq \label{0.1} H\_{g}^{\epsilon} := \frac{P^2}{2}+ \epsilon \frac{Q^2}{2}+ \frac{g^2}{Q^2} \edq where $\epsilon = \pm 1$, $g$ is a real constant. We shall in particular study the Quantum Fidelity between $H\_{g}^{\epsilon}$ and $H\_{0}^{\epsilon}$ defined as \beq \label{0.2} F\_{Q}^{\epsilon}(t,g):= < \exp(-it H\_{0}^{\epsilon})\psi, exp(-itH\_{g}^ {\epsilon})\psi > \edq for some reference state $\psi$ in the domain of the relevant operators. We shall also propose a definition of the Classical Fidelity, already present in the literature (\cite{becave1}, \cite{becave2}, \cite{ec}, \cite{prozni}, \cite{vepro}) and compare it with the behaviour of the Quantum Fidelity, as time evolves, and as the coupling constant $g$ is varied.Comment: To be published in Journal of Mathematical Analysis and Application

Écriture du passé : visualisations, localisations

Christian Jouhaud, directeur d’étudesJean-Pierre Cavaille, Judith Lyon-Caen, Dinah Ribard, maîtres de conférencesAlain Cantillon, maitre de conférences à l’Université Paris-III/Sorbonne nouvelleLaurence Giavarini, maître de conférences à l’Université de BourgogneSophie Houdard, professeur à l’Université Paris-III/Sorbonne nouvelleNicolas Schapira, maître de conférences à l’Université de Marne-la-ValléeAlain Viala, professeur à l’Université d’Oxford La raison d’être du séminaire du Grihl est d..

Écriture du passé : visualisations, localisations

Christian Jouhaud, directeur d’étudesJean-Pierre Cavaillé, Judith Lyon-Caen, Dinah Ribard, maîtres de conférencesAlain Cantillon, maître de conférences à l’Université Paris-III/Sorbonne nouvelleLaurence Giavarini, maître de conférences à l’Université de DijonSophie Houdard, professeur à l’Université Paris-III/Sorbonne nouvelleNicolas Schapira, maître de conférences à l’Université de Marne-la-ValléeAlain Viala, professeur à l’Université d’Oxford La réflexion amorcée l’année précédente autour d..

Flistoire et littérature

Christian Jouhaud, directeur d’étudesJean-Pierre Cavaillé, Judith Lyon-Caen, Dinah Ribard, maîtres de conférencesAlain Cantillon, maître de conférences à l’Université Sorbonne nouvelle-Paris 3Laurence Giavarini, maître de conférences à l’Université de BourgogneSophie Floudard, professeur à l’Université Sorbonne nouvelle-Paris 3Nicolas Schapira, maître de conférences à l’Université Paris-Est Créteil Val-de-MarneAlain Viala, professeur à l’Université d’Oxford Écritures du passé : visualisations..

Experimental review of oxygen content at mixing layer in cone calorimeter

This work aims to elucidate whether the hypothesis of zero oxygen at the mixture layer when flame takes place is assumable for every kind of material. For that purpose, we investigated the oxygen concentration there by cone calorimeter tests. A modified holder was developed in order to collect oxygen in this mixture layer. In addition, thermogravimetric tests were carried out so as to relate the possible effects of the presence of oxygen in the atmosphere where the pyrolysis process takes place, since the cone calorimeter does not allow to control the oxygen level of the atmosphere during the experiment. The reaction rates and per cent of residue in the cone calorimetric tests were measured and compared with the results from thermogravimetric tests. Six products were analysed which can be classified in three main groups: lignocellulosic, thermoplastic polymers and thermoset polymers. Cone calorimetric results showed that for some of the materials analysed (PET, Nylon and PUR foam) the oxygen level at mixture layer decreased until values close to zero. The comparison of reaction rates between cone calorimetric and thermogravimetric tests revealed the char layer created in cone calorimetric tests over the exposed face for brushed fir, Nylon and PET established an important heat barrier that modifies the thermal behaviour of these materials.Authors would like to thank to the Spanish Ministry of Economy and Competitiveness for the PYRODESIGN Project grant, Ref.: BIA2012-37890, financed jointly by FEDER funds

Measurement of the Mass Splittings between the bbˉχb,J(1P)b\bar{b}\chi_{b,J}(1P) States

We present new measurements of photon energies and branching fractions for the radiative transitions: Upsilon(2S)->gamma+chi_b(J=0,1,2). The masses of the chi_b states are determined from the measured radiative photon energies. The ratio of mass splittings between the chi_b substates, r==(M[J=2]-M[J=1])/(M[J=1]-M[J=0]) with M the chi_b mass, provides information on the nature of the bbbar confining potential. We find r(1P)=0.54+/-0.02+/-0.02. This value is in conflict with the previous world average, but more consistent with the theoretical expectation that r(1P)<r(2P); i.e., that this mass splittings ratio is smaller for the chi_b(1P) triplet than for the chi_b(2P) triplet.Comment: 11 page postscript file, postscript file also available through http://w4.lns.cornell.edu/public/CLN

PEDIA: prioritization of exome data by image analysis.

PURPOSE: Phenotype information is crucial for the interpretation of genomic variants. So far it has only been accessible for bioinformatics workflows after encoding into clinical terms by expert dysmorphologists. METHODS: Here, we introduce an approach driven by artificial intelligence that uses portrait photographs for the interpretation of clinical exome data. We measured the value added by computer-assisted image analysis to the diagnostic yield on a cohort consisting of 679 individuals with 105 different monogenic disorders. For each case in the cohort we compiled frontal photos, clinical features, and the disease-causing variants, and simulated multiple exomes of different ethnic backgrounds. RESULTS: The additional use of similarity scores from computer-assisted analysis of frontal photos improved the top 1 accuracy rate by more than 20-89% and the top 10 accuracy rate by more than 5-99% for the disease-causing gene. CONCLUSION: Image analysis by deep-learning algorithms can be used to quantify the phenotypic similarity (PP4 criterion of the American College of Medical Genetics and Genomics guidelines) and to advance the performance of bioinformatics pipelines for exome analysis