Higher-order <Emphasis Type="Bold">?</Emphasis> corrections in the semiclassical quantization of chaotic billiards

In the periodic orbit quantization of physical systems, usually only the leading-order ? contribution to the density of states is considered. Therefore, by construction, the eigenvalues following from semiclassical trace formulae generally agree with the exact quantum ones only to lowest order of ?. In different theoretical work the trace formulae have been extended to higher orders of ?. The problem remains, however, how to actually calculate eigenvalues from the extended trace formulae since, even with ? corrections included, the periodic orbit sums still do not converge in the physical domain. For lowest-order semiclassical trace formulae the convergence problem can be elegantly, and universally, circumvented by application of the technique of harmonic inversion. In this paper we show how, for general scaling chaotic systems, also higher-order ? corrections to the Gutzwiller formula can be included in the harmonic inversion scheme, and demonstrate that corrected semiclassical eigenvalues can be calculated despite the convergence problem. The method is applied to the open three-disk scattering system, as a prototype of a chaotic system. Received 10 September 2001 and Received in final form 3 January 2002     

Topological Simplicity of a Certain LF-Algebra

We show that the LF-algebra considered by Akkar and Nacir in [1] is topologically simple.     

自相似结构壳模型

为了扩展以简谐振子为基矢的常规壳模型（ＳＭ）计算到晕核，提出了自相似结构壳模型（ＳＳＭ）．通过对简谐振子动能项和势能项的重度规以及单粒子平均场模拟，可以得到ＳＳＭ中的单粒子轨道有态相关的圆频率，在ＳＳＭ中，晕核大的均方根半径、厚的中子皮以及Ｂｏｒｒｏｍｅａｎ晕核和的束缚态性质能够再现出来。     

贫困地区经济发展中主导产业的选择方法

拟定了贫困地区经济发展中主导产业选择的五条原则,并提出了选择主导产业的一种方法,即先通过列表评分法求出各产业的优势度,再利用层次分析法确定各产业在合理发展工业中所占的相对地位,最后将两种结果相互参照确定主导产业部门。     

时代发展与思想政治工作的创新

新的历史时期对思想政治工作提出了严峻的挑战。由于思想政治荼的主体、对象已经发生了很大的变化。因此，思想政治工作应在思念、工作内容、方式方法上有所创新。这是开拓思想政治工作新局面的必由之路。     

Reaction of D2 with palladium fulleride C60Pd4.9

Fullerene deuteride was obtained by the reaction of deuterium with solid palladium fulleride C₆₀Pd_4.9 under fairly mild conditions. The compound was identified by FD-MS, UV-Vis and IR spectroscopies, and TLC.Translated from Izvestiya Akademii Nauk. Seriya Khimicheskaya, No. 2, pp. 483–484, February, 1996     

论企业技术创新的评价

讨论了企业技术创新的评价方法，引入事实评价与价值评价标准，对企业技术创新进行技术评价和社会评价。认为只有当企业技术创新的技术评价和社会评价均为可行时，技术创新方案才原则上可以采用。     

浅析营业杠杆系数及其经济应用

本文介绍了营业杠杆系数这一衡量企业经营风险的重要指标，对该指标的特性进行了较深入的分析和探讨。同时，还导出了利用该指标判断企业经营安全状态的方法。     

关于极限的几个定理

给出了极限的几个定理及其推论，可以解决或简化某类极限问题。推论2修正了数学通报11（1963）《关于极限的一个定理》。     

多目标多阶段决策问题最优化方法及应用

本文提出了可行状态点,可行边和可行策略等概念,建立了一种新的解决多目标多阶段决策问题的方法,介绍了这一方法的应用实例: