On the boundary convergence of solutions to the Hermite-Schr\"odinger equation

In the half-space $\mathbb{R}^d \times \mathbb{R}_+$, we consider the Hermite-Schr\"odinger equation $i\partial u/\partial t = - \Delta u + |x|^2 u$, with given boundary values on $\mathbb{R}^d$. We prove a formula that links the solution of this problem to that of the classical Schr\"odinger equation. It shows that mixed norm estimates for the Hermite-Schr\"odinger equation can be obtained immediately from those known in the classical case. In one space dimension, we deduce sharp pointwise convergence results at the boundary, by means of this link.Comment: 12 page

The Dynamics of Child Poverty in Sweden

The purpose of this paper is to study (empirically) the dynamics of child poverty in Sweden, the quintessential welfare state. We find that 1 out of every 5 children is disposable income poor at least once during his or her childhood, while only 2 percent of all children are chronically poor. We also document a strong life-cycle profile for child poverty. Just over 20 percent of all children are born into poverty. The average poverty rate then drops dramatically to about 7.5 percent among 1-year old children. After which, it declines (monotonically) to about 3.9 percent among 17-year olds. Children in Sweden are largely protected (economically) from a number of quite serious events, such as parental unemployment, sickness and death. Family dissolution and longterm unemployment, however, do push children into poverty. But for most of these children, poverty is only temporary. Single mothers, for example, are overrepresented among the poor, but not among the chronically poor. Children with immigrant parents are strongly overrepresented among the chronically poor; as are children whose parents have unusually low educations. We argue that information about the dynamics of child poverty may help policy makers to construct more salient policies for fighting child poverty.child poverty; chronic poverty; poverty dynamics

SPECIFIC TRANSPLANTATION ANTIGENS OF MOUSE SARCOMAS INDUCED BY ADENOVIRUS TYPE 12

A specific isograft resistance against three different mouse adeno 12 sarcomas was demonstrated in mice treated with four to eight doses of viable or X-ray-killed adeno 12 mouse tumors. Whole-body X-ray irradiation with 350 R 24 hr previous to the test challenge did not abolish the resistance, indicating that it was due to a true anamnestic immune reaction. This was further proven by the finding that similar treatment with tumors of other origin did not induce any immunity, nor did the treatment with adeno 12 tumor material induce any immunity against two neoplasms of Schmidt-Ruppin-Rous viral origin. The previous report by Trentin et al. (17) that adeno 12 infection leads to a specific transplantation immunity was fully confirmed. When the specificity of this virus-induced immunity was studied it was discovered that besides adeno virus type 12, type 7 and probably type 18 also gave the same type of resistance while adenovirus type 5 did not. A contamination of the adeno 7-infected mice with adeno type 12 was excluded by testing pooled sera from these animals for anti-adeno 12 CF or HI antibodies

Pressure induced structural and dynamical changes in liquid Si. An ab-initio study

The static and dynamic properties of liquid Si at high-pressure have been studied using the orbital free ab-initio molecular dynamics method. Four thermodynamic states at pressures 4, 8, 14 and 23 GPa are considered. The calculated static structure shows qualitative agreement with the available experimental data. We analize the remarkable structural changes occurring between 8 and 14 GPa along with its effect on several dynamic properties.Comment: 10 pages, 11 figures. Accepted for publication in Journal of Physics: Condensed Matte

Derivation of the nonlinear fluctuating hydrodynamic equation from underdamped Langevin equation

We derive the fluctuating hydrodynamic equation for the number and momentum densities exactly from the underdamped Langevin equation. This derivation is an extension of the Kawasaki-Dean formula in underdamped case. The steady state probability distribution of the number and momentum densities field can be expressed by the kinetic and potential energies. In the massless limit, the obtained fluctuating hydrodynamic equation reduces to the Kawasaki-Dean equation. Moreover, the derived equation corresponds to the field equation derived from the canonical equation when the friction coefficient is zero.Comment: 16 page

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Density fluctuations and single-particle dynamics in liquid lithium

The single-particle and collective dynamical properties of liquid lithium have been evaluated at several thermodynamic states near the triple point. This is performed within the framework of mode-coupling theory, using a self-consistent scheme which, starting from the known static structure of the liquid, allows the theoretical calculation of several dynamical properties. Special attention is devoted to several aspects of the single-particle dynamics, which are discussed as a function of the thermodynamic state. The results are compared with those of Molecular Dynamics simulations and other theoretical approaches.Comment: 31 pages (in preprint format), 14 figures. Submitted to Phys. Rev.

Tissue drives lesion: computational evidence of interspecies variability in cardiac radiofrequency ablation

Radiofrequency catheter ablation (RFCA) is widely used for the treatment of various types of cardiac arrhythmias. Typically, the efficacy and the safety of the ablation protocols used in the clinics are derived from tests carried out on animal specimens, including swines. However, these experimental findings cannot be immediately translated to clinical practice on human patients, due to the difference in the physical properties of the types of tissue. Computational models can assist in the quantification of this variability and can provide insights in the results of the RFCA for different species. In this work, we consider a standard ablation protocol of 10g force, 30W power for 30s. We simulate its application on a porcine cardiac tissue, a human ventricle and a human atrium. Using a recently developed computational model that accounts for the mechanical properties of the tissue, we explore the onset and the growth of the lesion along time by tracking its depth and width, and we compare the lesion size and dimensions at the end of the ablation

Comparison of residual salivary fluoride retention using amine fluoride toothpastes in caries-free and caries-prone children.

This was to compare the salivary fluoride levels following tooth brushing with amine fluoride toothpastes containing three different concentrations of F (250 ppm F, 500 ppm F and 1250 ppm F) and to evaluate the effect of rinsing with water on the oral fluoride levels up to 90 min.A double blind randomised six-arm crossover study was conducted with 32 child participants. Patients were divided into two groups depending on their caries experience with caries-free group (n = 17, mean age = 72.9 months) and caries-prone group (n = 15, mean age = 69.6 months, mean dmfs = 12.3). Each participant brushed their teeth with a smear of dentifrice containing (250 ppm, 500 ppm and 1250 ppm F toothpastes) for 60 s. After spitting out the dentifrice/saliva slurry, participants either rinsed with water or did not rinse at all. Samples of whole mixed unstimulated saliva were collected at 0 (baseline), 1, 15, 30, 45, 60 and 90 mins post-brushing/rinsing.After completing the study on residual fluoride concentration it was found that caries was not a significant variable (p = 0.567) while every other variable was (all p values 1000 ppm F concentration in children with an increased caries risk in addition to spitting excess toothpaste with no rinsing following brushing