Operator algebras and a theorem of Dieudonne

LetA be aC*-algebra with second dualA″. Let (φ _n)(n=1,...) be a sequence in the dual ofA such that limφ _n(a) exists for eacha εA. In general, this does not imply that limφ _n(x) exists for eachx εA″. But if limφ _n(p) exists whenever p is the range projection of a positive self-adjoint element of the unit ball ofA, then it is shown that limφ _n(x) does exist for eachx inA″. This is a non-commutative generalisation of a celebrated theorem of Dieudonné. A new proof of Dieudonné’s theorem, for positive measures, is given here. The proof of the main result makes use of Dieudonné’s original theorem.     

Radial oscillations of neutron stars in strong magnetic fields

The eigen frequencies of radial pulsations of neutron stars are calculated in a strong magnetic field. At low densities we use the magnetic BPS equation of state (EOS) similar to that obtained by Lai and Shapiro while at high densities the EOS obtained from the relativistic nuclear mean field theory is taken and extended to include strong magnetic field. It is found that magnetized neutron stars support higher maximum mass whereas the effect of magnetic field on radial stability for observed neutron star masses is minimal.     

On-Line HPLC-UV-mass spectrometry and tandem mass spectrometry for the rapid delineation and characterization of differences in complex mixtures: a case study using toxic oil variants

An integrated differential approach to the characterization of complex mixtures is presented which includes the targeting of liquid chromatography (LC) peaks for identification using characteristic UV adsorption of the LC peak, subsequent molecular weight and formula determination using accurate mass LC mass spectrometry (MS), and structure characterization using accurate mass LC-tandem mass spectrometry. The use of differential UV adsorption aids in narrowing the scope of the study to only specific peaks of interest. Accurate mass measurement of the molecular ion species provides molecular weight information as well as atomic composition information. The tandem MS (MS/MS) spectra provide fragmentation information which allows for structural characterization of each component. Accurate mass assignment of each of the fragment ions in the MS/MS spectrum provides atomic composition for each of the fragment ions and thus further aids in the structural characterization. These experiments are facilitated through the use of on-line LC-MS and LC-MS/MS with in-line UV detection. A synthetic toxic oil (STO) related to Toxic Oil Syndrome is studied with a focus on possible contaminants resulting from the interaction of aniline, used as a denaturant, with the normal components of the oil. A differential analysis between the STO and a control oil is performed. LC peaks were targeted using UV absorbance to indicate the possible presence of the aniline moiety. Further differential analysis was performed through the determination of the MS signals associated with each component separated on the LC. Finally, the MS/MS data was also used to determine if the fragmentation of the targeted components indicated the presence of aniline. The MS/MS and accurate mass data were used to assign the structures for the targeted components.     

高T_c超导体YBCO磁通钉扎的计算机模拟研究

临界电流密度Jc是影响高温超导体在强电领域应用的一个重要参数,在实际应用中,特别在外加磁场下,临界电流密度与超导材料的磁通钉扎性质密切相关.因此,磁通钉扎一直是高温超导体研究中的一个重要领域.由于高温超导体磁通钉扎力密度Fp的标度律存在,本文根据D.Dew-Hughes总结的钉扎力函数,主要存在两种主要作用类型(正常相和△K).我们将D.Dew-HugBes给出的钉扎力密度Fp标度函数改进为一个简化的具有物理意义的函数表达式.结合文献中已有的实验数据,我们对YBcO进行了计算机模拟,确定了它的磁通钉扎类型,模拟的研究结果与实际情况比较吻合.