511 research outputs found
Classical particle scattering for power-law two-body potentials
We present a rigorous study of the classical scattering for anytwo-body
inter-particle potential of the form ,
with\gamma\textgreater{}0, for repulsive (g\textgreater{}0) and attractive
(g\textless{}0)interactions. We give a derivation of the complete power
series of thedeflection angle in terms of the impact factor for the weak
scatteringregime (large impact factors) as well as the asymptotic
expressionsfor the hard scattering regime (small impact factors). We see a
verydifferent qualitative and quantitative behavior depending whether
theinteraction is repulsive or attractive. In the latter case, thefamilies of
trajectories depend also strongly on the value of. We also study
carefully the modifications of the resultswhen a regularization is introduced
in the potential at small scales.We check and illustrate all the results with
the exact integration ofthe equations of motion.Comment: 23 pages, 17 figure
Successful private–public funding of paediatric medicines research: lessons from the EU programme to fund research into off-patent medicines
The European Paediatric Regulation mandated the European Commission to fund research on off-patent medicines with demonstrated therapeutic interest for children. Responding to this mandate, five FP7 project calls were launched and 20 projects were granted. This paper aims to detail the funded projects and their preliminary results. Publicly
available sources have been consulted and a descriptive
analysis has been performed. Twenty Research Consortia
including 246 partners in 29 European and non-European
countries were created (involving 129 universities or public funded research organisations, 51 private companies with 40 SMEs, 7 patient associations). The funded projects investigate 24 medicines, covering 10 therapeutic areas in all paediatric age groups. In response to the Paediatric Regulation and to apply for a Paediatric Use Marketing Authorisation, 15 Paediatric Investigation Plans have been granted by the EMAPaediatric Committee, including 71 studies of whom 29 paediatric clinical trials, leading to a total of 7,300 children to be recruited in more than 380 investigational centres.
Conclusion: Notwithstanding the EU contribution for each
study is lower than similar publicly funded projects, and also considering the complexity of paediatric research, these projects are performing high-quality research and are progressing towards the increase of new paediatric medicines on the market. Private–public partnerships have been effectively implemented, providing a good example for future collaborative actions. Since these projects cover a limited number of offpatent drugs and many unmet therapeutic needs in paediatrics remain, it is crucial foreseeing new similar initiatives in forthcoming European funding programmes
Quantifying and controlling entanglement in the quantum magnet CsCoCl
The lack of methods to experimentally detect and quantify entanglement in
quantum matter impedes our ability to identify materials hosting highly
entangled phases, such as quantum spin liquids. We thus investigate the
feasibility of using inelastic neutron scattering (INS) to implement a
model-independent measurement protocol for entanglement based on three
entanglement witnesses: one-tangle, two-tangle, and quantum Fisher information
(QFI). We perform high-resolution INS measurements on CsCoCl, a close
realization of the transverse-field XXZ spin chain, where we can
control entanglement using the magnetic field, and compare with density-matrix
renormalization group calculations for validation. The three witnesses allow us
to infer entanglement properties and make deductions about the quantum state in
the material. We find QFI to be a particularly robust experimental probe of
entanglement, whereas the one- and two-tangles require more careful analysis.
Our results lay the foundation for a general entanglement detection protocol
for quantum spin systems.Comment: Main text: 7 pages, 4 figures. Supplementary Information: 15 pages,
15 figure
Travelling waves for the Gross-Pitaevskii equation II
The purpose of this paper is to provide a rigorous mathematical proof of the
existence of travelling wave solutions to the Gross-Pitaevskii equation in
dimensions two and three. Our arguments, based on minimization under
constraints, yield a full branch of solutions, and extend earlier results,
where only a part of the branch was built. In dimension three, we also show
that there are no travelling wave solutions of small energy.Comment: Final version accepted for publication in Communications in
Mathematical Physics with a few minor corrections and added remark
Regularity of harmonic discs in spaces with quadratic isoperimetric inequality
We study harmonic and quasi-harmonic discs in metric spaces admitting a uniformly local quadratic isoperimetric inequality for curves. The class of such metric spaces includes compact Lipschitz manifolds, metric spaces with upper or lower curvature bounds in the sense of Alexandrov, some sub-Riemannian manifolds, and many more. In this setting, we prove local Hölder continuity and continuity up to the boundary of harmonic and quasi-harmonic discs
- …