High-order perturbed corrections with scaling transformation

The performance of the so-called superconvergent quantum perturbation theory （Wenhua Hal et al2000 Phys. Rev. A 61 052105） is investigated for the case of the ground-state energy of the helium-like ions. The scaling transformation τ → τ/Z applied to the Hamiltonian of a two-electron atomic ion with a nuclear charge Z （in atomic units）. Using the improved Rayleigh-SchrSdinger perturbation theory based on the integral equation to helium-like ions in the ground states and treating the electron correlations as perturbations, we have performed a third-order perturbation calculation and obtained the second-order corrected wavefunctions consisting of a few terms and third-order energy corrections. We find that third-order and higher-order energy corrections are improved with decreasing nuclear charge. This result means that the former is quadratically integrable and the latter is physically meaningful. The improved quantum perturbation theory fits the higher-order perturbation case. This work shows that it is a development on the quantum perturbation problem of helium-like systems.     

Boundedness and convergence of perturbed corrections for helium-like ions in ground states

Applying the improved Rayleigh SchrSdinger perturbation theory based on an integral equation to helium-like ions in ground states and treating electron correlations as perturbations, we obtain the second-order corrections to wavefunctions consisting of a few terms and the third-order corrections to energicity. It is demonstrated that the corrected wavefunctions are bounded and quadratically integrable, and the corresponding perturbation series is convergent. The results clear off the previous distrust for the convergence in the quantum perturbation theory and show a reciprocal development on the quantum perturbation problem of the ground state helium-like systems.     

含噻二唑基硫脲类化合物的合成

以噻二唑-2-氨甲基酚(1)为原料,与异硫氰酸苯酯反应,以中等到良好的产率得到噻二唑基N-苯基取代硫脲类化合物(3a~3i);而化合物1与活性较高的N,N-二甲胺基硫代甲酰氯反应,则可以得到—NH和—OH同时反应的含有N,N-二甲基硫脲和N,N-二甲基硫代氨基甲酸芳酯官能团的产物.利用核磁共振、红外光谱以及高分辨质谱等手段对产物结构进行了表征.     

邻羟基芳香N-叔丁基亚磺酰亚胺的微波合成研究

手性N-叔丁基亚磺酰亚胺是一类非常重要的有机化学合成中间体.报道以水杨醛类化合物1和N-叔丁基亚磺酰胺(2)为原料,分别以硫酸氢钾、碳酸铯为促进剂在微波辐射条件下反应,合成得到11种未见文献报道的水杨醛类N-叔丁基亚磺酰亚胺(3),产率中等到良好.研究发现:带有强吸电子基的底物在硫酸氢钾的作用下,产率较高;而带有强供电子基化合物、取代基位阻大的化合物在碳酸铯的作用下反应效果较好.所有新化合物均通过红外光谱、核磁共振谱、高分辨质谱对其结构进行了确认.     

碱促进的新颖苯并呋喃类化合物的合成

水杨醛或水杨酮类化合物与溴代巴豆酸甲酯在N,N’-二甲基甲酰胺溶液中,以碳酸铯为碱,在70℃下一步生成苯并呋喃类化合物,产率中等到良好.产物的双键构型通过单晶衍射确定为E-式构型,所有目标化合物都通过核磁共振谱和高分辨质谱对其结构进行了确证.     

F风下倾对W型炉内燃烧及NOx排放的影响

本文通过数值模拟和在实际锅炉上的试验,研究了310 MW Foster Wheeler技术w型火焰锅炉F层二次风下倾15°对炉内燃烧过程的影响.通过对模拟和试验的分析表明,F层二次风下倾后对炉内燃烧的影响主要表现在火焰行程延长,煤粉停留时间增加,还原区扩大,一次风与二次风的混合推迟等方面.试验和模拟结果都表明,F层二次风下倾后锅炉的火焰中心下降,飞灰含碳量降低,锅炉效率提高且NOx排放明显减少.     

重夸克偶素的高阶变分-积分微扰修正

利用基于积分方程的改进的变分微扰方法(变分-积分微扰法)求解重夸克偶素激发态.设置含有变分参数的母哈密顿量作为零级哈密顿量，选择该母哈密顿系统的精确解作为试探波函数，得到了只有几项的高阶修正波函数和高阶能量修正.该计算结果更接近精确能量值，修正波函数的有界性和收敛性也得到了证明.结果表明，这种方法不仅可提高计算结果的精度，而且可确保微扰级数解的收敛性. 关键词： 重夸克偶素 变分-积分微扰法 高阶能量修正     

Variational-integral perturbation corrections of some lower excited states for hydrogen atoms in magnetic fields

A variational-integral perturbation method(VIPM) is established by combining the variational perturbation with the integral perturbation.The first-order corrected wave functions are constructed,and the second-order energy corrections for the ground state and several lower excited states are calculated by applying the VIPM to the hydrogen atom in a strong uniform magnetic field.Our calculations demonstrated that the energy calculated by the VIPM only shows a negative value,which indicates that the VIPM method is more accurate than the other methods.Our study indicated that the VIPM can not only increase the accuracy of the results but also keep the convergence of the wave functions.     

纠缠相干态的压缩特性

研究纠缠相干态的量子纠缠特性和压缩特性。计算和分析了纠缠相干态的纠缠度和单模、双模压缩特性。讨论了纠缠和压缩二种非经典效应的关系，发现可以通过操纵纠缠度来达到增加或减弱压缩的目的。并指出了单模压缩和双模压缩表现出完全不同的特性。