简谐振子波函数的代数解及Hermite多项式的递推

简谐振子模型是量子力学中极其简单又重要的模型,其物理思想在其他相关的学科中都有着广泛的应用,通过多种途径去深入理解简谐振子模型,对理解量子力学的实质和运用量子力学作为工具去研究微观物理模型都有重要的意义;另一方面在实际工作中应用代数方法去求解力学量的本征值和波函数是研究量子力学的主要手段.以简谐振子为例,运用代数方法,先给出一维简谐振子的波函数,从而推广到多维简谐振子,并结合相应算符的对易关系给出Hermite多项式及其递推关系,回避了通过级数展开去求解Hermite方程的过程;同时指出<厄米本征值问题的探究>一文中的不足之处.     

微波、超声及其联用萃取黄柏中总生物碱的研究

采用紫外分光光度法,以黄柏中总生物碱提取量为评价指标,对微波辅助萃取、超声辅助萃取和微波．超声联用辅助萃取黄柏中总生物碱进行了对比研究,比较了3种不同萃取方式对提取量的影响．研究结果表明,微波-超声联用辅助萃取黄柏中总生物碱比单独使用微波或超声辅助萃取黄柏中总生物碱效果好．     

Determination of discontinuities in marble blocks via a nondestructive ultrasonic technique

Miners working in the marble industry have always been interested in identifying structural weaknesses in marble blocks before they are transported to marble processing plants. To achieve this difficult task, several simple methods have been developed among miners but observation-based methods do not consistently provide satisfactory results. A nondestructive method developed for testing concrete could be used for this purpose. In this study, this simple method based on differences in ultrasonic wave propagation in different materials was presented, and the test results performed both in the laboratory and a marble quarry were discussed.     

超声法提取朝天椒辣椒素工艺条件研究

采用超声法从辣椒中提取辣椒素,以辣椒素的提取量为评价指标,利用正交实验确定乙醇在超声功率为120 W时超声提取辣椒素的最佳条件为：液固比为5∶1、超声时间为40 min.对比试验结果显示,超声提取比传统提取的提取率有明显提高.     

样品厚度误差对THz波段样品折射率的影响

本文用THz时域光谱技术对不同厚度的同种维生素进行了探测,并得到了它们在0.2-2.5 THz波段范围的折射率谱.通过对比实验结果发现：厚度不同的同种样品在相同的频率下具有不同的折射率;样品越厚,折射率的误差就越小.这一实验结果与理论推导相一致.本文的研究结果可以作为利用THz时域光谱技术依据折射率鉴别物质的参考因素.     

张峰变电站防雷保护设计

从变电站直击雷防护、入侵波防护、进线段保护、防雷保护、防雷接地几个方面介绍了变电站防雷保护的设计方法,指出雷击是造成跳闸停电的主要原因.     

大准铁路黍地沟牵引变电站谐波和负序（基波）评估报告

对大准铁路黍地沟牵引变电站接入电力系统谐波和负序(基波)进行了评估计算.计算结果表明,该工程产生并注入系统的谐渡电流和引起的三相电压不平衡度均超出国家标准的允许值.     

全视场显示系统的偏振特性分析

利用斯托克斯矢量法分析偏振片和1/4波片产生各种偏振光的原理,以及如何多次使用偏振片和1/4波片,达到无限远的全视场显示效果。实验验证了方法的可行性。     

振动曲线与波形的相互转换方法

根据简谐振动过程和平面简谐横波传播过程的相位及相位随时间和质元位置变化的关系,提出一种实现振动曲线与波形之间的相互转换方法.该方法操作简单,不容易出错.     

Model tests on anomalous low friction and pendulum-type wave phenomena

The anomalous low friction (ALF) and pendulum-type wave (μwave) phenomena were two typical,nonlinear,geo-mechanical,and dynamic responses in deep-block rock mass discovered from in situ observations,which occurred from the movement of the geo-blocks under the impact of external pulses,such as deep confined explosion,earthquake,and rock bursts.With the aim to confirm the existence of the above two phenomena and study the variation laws of them experimentally,laboratory tests on the granite and cement mortar continuum and blocks models were conducted on the self-independently developed multipurpose testing system,respectively.The ALF phenomenon was realized under two loading schemes,the blocks model and working block were acted upon by the joint action of vertical impact and horizontal static force as well as the joint action of both vertical and horizontal impacts with different time intervals.It revealed that the discrete time delays corresponding to the local maximums and minimums of the horizontal displacement amplitudes and residual horizontal displacements of the working block satisfied the canonical sequences with the multiple of √2,most of which satisfied the quantitative expression (√2)~i △/V_p.Besides,the one-dimensional impact experiments were carried out on the blocks granite model,continuum,and blocks cement mortar models,respectively.Based on the comparison and analysis of the propagation properties (amplitudes and the Fourier spectrums of acceleration time histories of blocks) of the 1D stress wave in the above models,it is indicated that the fractures in rock mass have tremendous effect on the attenuation of acceleration amplitudes and high-frequency waves.By comparison of the model test data with the in situ measurement conclusions,the existence of the μ wave was confirmed experimentally in the cement mortar blocks model with larger dimensions,and the frequencies corresponding to the local maximums of spectral density curves of three-directional acceleration time histories of sub-blocks also satisfied several canonical sequences with the multiple of √2.