On the equivalence of multiplicative structures in floer homology and quantum homology

In this paper, we will prove that Floer homology equipped with either the intrinsic or exterior product is isomorphic to quantum homology as a ring. We will also prove that GW-invariants in Floer homology and quantum homology are equivalent.     

The Lefschetz-Hopf theorem for q-simplicial maps

Two Lefschetz-type fixed point theorems are formulated in this paper. The second of these gives conditions which guarantee fixed points for maps from an inverse limit space to itself. Many of the standard fixed point results of the Lefschetz type are a consequence of these two theorems.     

Nontargeted Screening Using Gas Chromatography–Atmospheric Pressure Ionization Mass Spectrometry: Recent Trends and Emerging Potential

Gas chromatography–high-resolution mass spectrometry (GC–HRMS) is a powerful nontargeted screening technique that promises to accelerate the identification of environmental pollutants. Currently, most GC–HRMS instruments are equipped with electron ionization (EI), but atmospheric pressure ionization (API) ion sources have attracted renewed interest because: (i) collisional cooling at atmospheric pressure minimizes fragmentation, resulting in an increased yield of molecular ions for elemental composition determination and improved detection limits; (ii) a wide range of sophisticated tandem (ion mobility) mass spectrometers can be easily adapted for operation with GC–API; and (iii) the conditions of an atmospheric pressure ion source can promote structure diagnostic ion–molecule reactions that are otherwise difficult to perform using conventional GC–MS instrumentation. This literature review addresses the merits of GC–API for nontargeted screening while summarizing recent applications using various GC–API techniques. One perceived drawback of GC–API is the paucity of spectral libraries that can be used to guide structure elucidation. Herein, novel data acquisition, deconvolution and spectral prediction tools will be reviewed. With continued development, it is anticipated that API may eventually supplant EI as the de facto GC–MS ion source used to identify unknowns.     

Influence of Majorana Bound States in Quantum Rings

A quantum ring coupled to a 1D topological superconductor hosting Majorana bound states (MBSs) is investigated. The MBSs effects over the spectrum and persistent current along the quantum ring are studied. The spectra of the system are obtained by an exact numerical diagonalization of the Bogoliubov-de Gennes Hamiltonian in the Majorana representation. In addition, Green's function formalism is implemented for analytical calculations and obtained a switching condition in the MBSs fermionic parity. Three different patterns that could be obtained for the spatial separation of the MBSs, named: bowtie, diamond, and asymmetric, are reported here, which are present only in odd parity in the quantum ring, while only a single pattern (bowtie) is obtained for even parity. Those patterns are subject strictly to the switching condition for the MBSs. Besides, quantum ring with the presence of a Majorana zero mode presents gapped/gapless spectra in odd/even parity showing in the even case a subtle signature in the persistent current.     

共掺Tm~(3+)离子对CaAlSiN_3∶Eu~(2+)红色荧光粉发光性能的影响

通过高温固相法,合成了Eu~(2+)单掺和Eu~(2+)、Tm~(3+)共掺CaAlSiN_3荧光粉。结合荧光光谱、余辉发射光谱和余辉衰减曲线及热释发光等测试手段对其进行了表征分析。结果表明,CaAlSiN_3∶Eu~(2+)具有主峰位于630 nm的明显的红色长余辉发光;共掺杂Tm~(3+)离子的引入,产生了654和800 nm的荧光和余辉,同时,Tm~(3+)的共掺,使CaAlSiN_3∶0.1%Eu~(2+),Tm~(3+)样品位于89.0℃热释光峰位消失,表明Tm~(3+)共掺杂改变了CaAlSiN_3∶Eu~(2+)荧光粉中的陷阱能级及其分布,从而减弱了CaAlSiN_3∶Eu~(2+)的630 nm红色可见光部分余辉发光性能。