Decay Rate of Energy Eigenfunctions in Classically Energetically Inaccessible Regions in more than One-Dimensional Configuration Spaces

An approximate formula is proposed for the decay rate of energy eigenfunctions in classically energetically inaccessible regions in more than one-dimensional configuration spaces. This is achieved by generalizing an approach proposed recently for energy eigenfunctions in the one-dimensional configuration space. The formula is tested numerically in the Pullen-Edmonds model.     

Decay of Loschmidt Echo at a Critical Point in the Lipkin-Meshkov-Glick model

An analytical expression of the Loschmidt echo in the Lipkin-Meshkov Gliek model is derived in the thermody- namical limit. It is used in the study of the decaying behaviour of the echo at the critical point of a quantum phase transition of the model It is shown that the echo has a power law decay for relatively long times.     

Decay Rate of Energy Eigenfunctions in Classically Energetically Inaccessible Regions

Classically energetically inaccessible parts of energy eigenfunctions in configuration space are studied by making use of a generalization of Brillouin-Wigner perturbation theory. Approximate formulas are proposed for describing local decaying rate of this part of energy eigenfunctions, which are useful in the study of quantum phenomena,such as tunnelling effect, and are tested in an anharmonic oscillator.     

风雨磨砺三十载 与时俱进谱华章

1980 年,正值百废待兴、百业待举,为了提高化学教学质量和科学水平,亟需把广大化学工作者的意见和经验集中起来,互相交流借鉴,展开热烈讨论,一本16 开48 页的双月刊《化学教育》应时延生了。     

动力学对称性研究的拓扑途径——互作用玻色子模型中的应用示例

运用拓扑观点对IBM系统动力学对称性破坏的过程进行了研究,着重揭示了与能级免交叉联系的奇异行为及其根源.它实际上是动力学映射的不稳定不动点所导致的结果.越过不稳定不动点后,为了给出连续映射,就必须涉及能级的置换操作,因而呈现出能级免交叉的现象,并合映射不再能表示为动力学群生成元的函数,于是动力学对称性局域地实质性地受到了破坏.     

Al掺杂尖晶石LiMn2O4正极材料的性能

尖晶石LiMn2O4作为锂离子电池正极可大电流放电,且成本低、环境友好.采用溶胶-凝胶法制备尖晶石LiMn2O4及Al掺杂材料.使用X-射线衍射(XRD)和扫描电子显微镜(SEM)观察材料结构与形貌.结果表明,复合材料颗粒尺寸300-500 nm,呈类球形.电化学恒流充放电测试表明,Al掺杂尖晶石LiMn2O4电极的循环性明显提高,Al掺杂5%LiMn2O4(by mass,下同)正极在1C倍率充放电100周期循环后的容量保持率为98.2%,1C倍率充电、5C倍率放电下,100周期循环后其容量保持率为99.0%,表现出较优的电化学循环性能.