Hyperbolic multi-topology and the basic principle in quantum mechanics

In this paper, applying the direction strangeness of the hyperbolic space-time, we introduce the double metric space and the multi-topological structure, and in the wave-particle topology, we give one kind of imaginary metric representation for light-quantum hypothesis, uncertainty principle, energy level transition and interference conditions, etc. in quantum mechanics.     

The q-deformed harmonic oscillator, coherent states, and the uncertainty relation

For a q-deformed harmonic oscillator, we find explicit coordinate representations of the creation and annihilation operators, eigenfunctions, and coherent states (the last being defined as eigenstates of the annihilation operator). We calculate the product of the “coordinate-momentum” uncertainties in q-oscillator eigenstates and in coherent states. For the oscillator, this product is minimum in the ground state and equals 1/2, as in the standard quantum mechanics. For coherent states, the q-deformation results in a violation of the standard uncertainty relation; the product of the coordinate-and momentum-operator uncertainties is always less than 1/2. States with the minimum uncertainty, which tends to zero, correspond to the values of λ near the convergence radius of the q-exponential. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 147, No. 2, pp. 315–322, May, 2006.     

Kerr 时空黑洞熵和测不准关系

通过应用在量子引力中、由广义测不准关系得出的新的态密度方程,直接求解轴对称Kerr黑洞背景下Bose场和Fermi场的配分函数.然后,在黑洞视界附近计算黑洞背景下Bose场和Fermi场的熵.在所得结论中不存在用brick wall模型计算黑洞熵时出现的发散项,也不存在紫外因子.得到黑洞熵与视界面积成正比的结论.     

Uncertainty and Investment in Electricity Generation with an Application to the Case of Hydro-Québec

The electricity industry is undergoing a substantial process of restructuring, with an emphasis on the introduction of competition in the generation sector. Traditional planning methods are not necessarily appropriate for this new environment. This paper extends a previously developed linear programming model to the problem of optimal expansion planning in the face of uncertainty. The model explicitly accounts for equipment availability and load duration curves in selecting optimal investment. The use of the model is illustrated with a simple 2-region problem calibrated with data from Hydro-Québec and the northeastern United States that suggests how the LP model can help decision makers.     

用于一级轻气炮的弹速激光测量系统

 研制了用于Φ57 mm一级轻气炮的激光测速系统，采用红光LD作光源，PIN作为光电探测器，并研制了专用前置放大器，整个系统集成于炮管延长段中，不仅具有结构简单紧凑、抗振动、易于准直，而且避免了弹丸的自由飞，保持了极小的碰撞角。采用该系统已成功地测量了非标准异型弹丸和非金属弹丸的速度，速度测量的相对不确定度小于0.2%。     

Adaptive Inverse Control Using a Gradient-Projection Optimization Technique

As an application of an optimization technique, a gradient-projection method is employed to derive an adaptive algorithm for updating the parameters of an inverse which is designed to cancel the effects of actuator uncertainties in a control system. The actuator uncertainty is parametrized by a set of unknown parameters which belong to a parameter region. A desirable inverse is implemented with adaptive estimates of the actuator parameters. Minimizing an estimation error, a gradient algorithm is used to update such parameter estimates. To ensure that the parameter estimates also belong to the parameter region, the adaptive update law is designed with parameter projection. With such an adaptive inverse, desired control system performance can be achieved despite the presence of the actuator uncertainties.     

对大学物理实验误差理论中引入不确定度的看法

本文就工科物理实验教学中为什么引入不确定度进行评定及在教学中如何对实验的不确定度进行计算等问题进行了讨论。     

机载多脉冲激光测距特性及其不确定度研究

针对机载平台特殊环境下激光测距的概率特性, 建立了脉冲回波信号的理论分析模型, 得出了不同信噪比情况下脉冲回波信号包络的概率密度分布函数. 结果表明: 信噪比的降低通过回波波形直接导致测距离散数据的不同分布, 大信噪比时呈现高斯分布, 小信噪比时近似瑞利分布, 一般情况符合莱斯分布; 根据恒比定时时刻鉴别方法, 在获取大量实验数据的基础上, 实验结果验证了理论模型的合理性. 对以“方差”定义的测距精度不适用的情况下, 引入测量不确定度的概念, 结合不确定度原理, 通过分布区间概率量化了实验结果, 提出了一种新的评价机载激光测距性能的方法, 该方法能够克服传统评价指标的单一性以及不合理性, 同时为机载光电系统的性能测试与评估提供了参考意义.     

4,9-脱水河豚毒素国家标准样品的研制

研制4,9-脱水河豚毒素国家标准样品。以河豚鱼卵巢为原料,提取制备4,9-脱水河豚毒素,采用红外光谱(IR)、高分辨质谱和核磁共振谱(NMR)进行结构确证。样品分装成140瓶后,采用柱后衍生–高效液相荧光法进行均匀性、稳定性检验和定值分析。从样品中随机抽取15瓶进行均匀性检验,经F检验表明在95%的置信区间范围内样品均匀性良好;稳定性考察按照40℃加速试验稳定性(6个月)进行,结果表明在考察期间内样品稳定性良好;标准样品经国内8家具有分析资质的实验室进行协同定值,并评定了定值结果的不确定度,4,9-脱水河豚毒素标准样品定值结果为97.77%,相对扩展不确定度为0.4%(k=1.96)。该标准样品达到国家标准样品的技术要求,可用于有关脱水河豚毒素的方法校正和质量控制。     

火焰原子吸收光谱法测定空气中铬含量的不确定度评定

用火焰原子吸收光谱法测定空气中铬含量,评定了测定过程的不确定度,把不确定度分解为标准溶液及配制引入的不确定度、标准曲线拟合引入的不确定度和样品重复测定引入的不确定度等七个因素,系统分析并计算各不确定度分量和扩展不确定度.结果表明,其中采集样品引入的不确定度是主要影响因素,空气中铬含量为3.88 μg/m3时,扩展不确定度为0.12 μg/m3.