Two Points Blow-up in Solutions of the Nonlinear Schrödinger Equation with Quartic Potential on \mathbb{R}

We consider the blow-up problem for the nonlinear Schrödinger equation with quartic self-interacting potential on . We exhibit a class of initial data leading to the blow-up solutions which have at least two L ²-concentration points.     

Contributions of Spin–Lattice Relaxation to the Echo Decay of Planar Cu in High-Temperature Superconductors

Measurement ofT_2G, the Gaussian component of the spin-echo envelope of planar Cu nuclei in high-temperature superconductors, gives important information about the real part of the Cu electron spin susceptibility. In the traditional picture of the planar Cu echo decay, the internuclear coupling is assumed to remain static with respect to spin–lattice relaxation and mutual exchange fluctuations. In some circumstances, however, this assumption breaks down. We calculate the internuclear corrections arising from spin–lattice relaxation to the conventional theory ofT_2Gand show thatT_2Gcan be easily corrected for these effects. We argue that mutual exchanges due to the perpendicular indirect couplings are suppressed in these materials. For YBa₂Cu₄O₈, we find a correction on the order of 10% inT_2Gand using the corrected values we find that the isotope ratio⁶³T_2G/⁶⁵T_2Gagrees with theory.     

一种可用于分析任意介电常数张量的各向异性波导导模的二维时域有限差分模型

为分析具有任意介电常数张量的各向异性波导的导模，本文通过把简化的二维时域有限差分（２－ＤＦＤＴＤ）法扩展至任意各向异性介质，提出了一种以Ｄ、Ｅ和Ｈ场为基础的统一的简化２－ＤＦＤＴＤ模型．利用该模型，研究了简化的复数２－ＤＦＤＴＤ方法与实变数２－ＤＦＤＴＤ方法之间的关系．文中还讨论了复变数方法和实变数方法的激励技术．     

光束的空间相干性与空间质量评价

光束空间质量评价的标准应该能够反映光束的空间相干性和强度(功率或能量)分布,并主要由空间相干性的优劣来说明.本文对模式纯度(1-δ)以及空间质量评价因子-衍射极限倍数因子M²做了讨论,并对此因子的表达形式提出了我们的改进建议.     

双参数变形多模玻色算符的代数结构及其应用(Ⅱ)

给出了双参数变形量子代数ＳＵ（２）ｑ，ｓ和ＳＵ（１，１）ｑ，ｓ的多模Ｊｏｒｄａｎ－Ｓｃｈｗｉｎｇｅｒ实现。     

Study of a Waveguide CO_2 Laser with Two Parallel Tubes

ＳｔｕｄｙｏｆａＷａｖｅｇｕｉｄｅＣＯ２ＬａｓｅｒｗｉｔｈＴｗｏＰａｒａｌｅｌＴｕｂｅｓＨＵＡＮＧＹｕａｎｇｑｉｎｇ（Ｄｅｐｔ．ｏｆＳｃｉ．Ｉｎｓｔｒ．ａｎｄＰｒｅｃｉｓｉｏｎＭｅｃｈ．ｏｆＸｉａｍｅｎＵｎｉｖ．，Ｘｉａｍｅｎ，３６１００５，Ｃｈｉｎ...     

Determination of peptide φ angles in solids by relayed anisotropy correlation NMR

A solid state NMR method is presented for determination of a backbone dihedral angle φ in peptides, being based on the previously reported method, relayed anisotropy correlation (RACO) NMR [Y. Ishii et al., Chem. Phys. Lett. 256 (1996) 133]. In the present method, the and the dipolar tensors in the system are two-dimensionally (2D) correlated via polarization transfer from to under magic angle spinning (MAS). This method was applied to N-acetyl , -valine, and the H–C–N–H dihedral angle was determined to be 154.0±1.4° or 206.0±1.4°, the former agreeing with the X-ray value of 154±5°.     

Light emission from Si nanocrystals embedded in CaF2 epilayers on Si(1 1 1): Effect of rapid thermal annealing

Visible photoluminescence (PL) of nanocrystalline silicon (nc-Si) embedded in single crystal CaF₂ formed on Si(1 1 1) has been studied and the influence of ex situ rapid thermal annealing (RTA) on the surface morphology and PL spectra has been studied. It has been found that the PL intensity and uniformity was improved by RTA with appropriate temperature and short annealing time.     

Ellipsometric spectroscopy study of photoluminescent Si/SiO2 systems obtained by magnetron co-sputtering

Si nanograins embedded in silica matrix were obtained by magnetron cosputtering of both Si and SiO₂ at different substrate temperature (200–700°C) and thermal annealing at 1100°C. The samples were characterized by ellipsometric spectroscopy, high-resolution electron microscopy observations and photoluminescence. The highest excess of Si atoms was found to be incorporated for deposition temperature near 400–500°C, giving rise to a maximum PL and a shift of the peak position towards lower energy. These features might be interpreted in terms of quantum size effects and of density of grains, even though the interface states seem to be involved in the improvement of the photoluminescence efficiency.     

Ca8Mg(SiO4)4Cl2中Ce3+和Eu2+的光谱性质和能量传递

首次合成了Ｃｅ＾３＋和Ｅｕ＾２＋共激活氯硅酸镁钙Ｃａ８Ｍｇ（ＳｉＯ４）４Ｃｌ２：Ｃｅ＾３＋，Ｅｕ＾２＋高效绿色荧光粉，报道了它们的漫反射光谱、激发和发射光，观察到氯硅酸镁钙中Ｃｅ＾３＋ Ｅｕ＾２＋