电子对於原子半导体晶格的形变作用

乾根—别卡曾经分析过原子晶体中的极化子问题。文中指出,其中弹性形变的考虑是不正确的,而且“绝热型”的极化子,在例如Ge,Si等原子晶体中存在的可能性是十分微小的。以微扰论为基础的计算证明,电子引起的局部体积变化发生在半径≈λ的范围内,λ是以声速运动的电子的德布罗意波长。局部体变的数值等於E/(α+4/3μ)(E为形变势常数,α和μ分别为体变和切变模量)。局部体变还在样品中引起一个均匀的形变,两者合起来使样品体积改变E/α。具体的分析证明,在类氢的杂质能级中的电子使样品体积产生同样的体积变化。这个效应是相当大的;例如,在Ge和Si这样的晶体中,效应甚至可以舆实验所观测到Ⅲ,Ⅴ族杂质原子的体积效应相比拟。导带中低速电子能量的改变约等於(电子质量/原胞质量)(E/(kΘ_D))E;在Ge晶体中,如果E=1—10电子伏,能量改变是0.001—0.1电子伏。相应的有效质量改变是1/1000—1/10电子质量。在类氢杂质能级中,电子能量改变远比上值为小;理论上电子—晶格互作用有着可能致使类氢能级自发电离。     

利用Brevibacillus laterosporus YMF3.00003菌株研制生物杀菌剂

 Brevibacillus laterosporus YMF3.00003菌株具有广谱抗真菌活性,摇瓶培养发酵液对所测的植物病原菌Cylindrocarpon didynum,C.destructans,Magnaporthe grisea,Rhizoctonia solani的菌丝生长有较强的抑制作用,最强抑制率分别为81.5%,71.0%,60.7%和60.2%.确定了该菌株在20 L发酵罐中的发酵条件,绘制了生长曲线及得到了不同生长时期的抑菌率.其中,培养21 h时细胞数最多,达到5.1×109;25 h时发酵物对R.solani的抑菌率最高,达到90.5%.通过对几种吸附剂的筛选,确定用锯木屑作为吸附剂,将发酵终产物用锯木屑吸附,制成约2×10¹¹g^-1的菌剂.     

An MRI perfusion model incorporating nonequilibrium exchange between vascular and extravascular compartments

A model of MRI signal intensity which is a function of perfusion is developed based upon the assumption that biological tissue can be represented by a blood and tissue compartment. The longitudinal magnetization is derived from the Bloch equations which are modified to model the magnetization in both the blood and tissue as a function of the following physiological parameters: blood flow velocity; perfusion fraction, which in the model is parameterized in terms of the ratio of the cross-sectional areas of the tissue and blood compartments; diffusion; rate of exchange between the blood and extravascular tissue compartments. Simulations of slice profiles excited by a repetitive sequence of 90 degrees slice-selective pulses show that the signal intensity in the blood and tissue compartments are modulated by the physiological parameters. A key factor in the modulation of the MRI signal is a time-of-flight effect whereby unexcited spins perfuse the excited region and exchange with blood and tissue compartments, thus immediately increasing the slice signal intensity but also delaying the spin exits from the slice, thereby decreasing their contribution to slice signal intensity in future repetitive pulse measurements.     

Fisher information as the basis for Maxwell's equations

Maxwell's equations of classical electrodynamics may be derived on the following statistical basis. Consider a gedanken experiment whereby the mean space-time coordinate for photons in an electromagnetic field is to be determined by observation of one photon's space-time coordinate. An efficient (i.e. optimum) estimate obeys a condition of minimum Fisher information, or minimum precision, according to the second law of thermodynamics. The Fisher information I is a simple functional of the probability law governing space-time coordinates of the “particles” of the field. This probability law is modeled as the source-free Poynting energy flow density, i.e., the ordinary local intensity in the optical sense, or, the square of the four-vector potential. When the Fisher information is extremized subject to an additive constraint term in the total interaction energy, Maxwell's equations result.     

Environmental analysis using gas chromatography — atomic absorption spectrometry

The combination of gas chromatography and atomic absorption spectrophotometry offers high sensitivity and specificity in the analysis of volatile organometallic species, and has been applied to alkyl derivatives of As, Pb, Se and Sn in environmental samples of air, water, sediment and biological tissues. Techniques of sample introduction and detector design are discussed with regard to the sensitivity attainable.     

Truncated harmonic oscillator and parasupersymmetric quantum mechanics

We discuss in detail the parasupersymmetric quantum mechanics of arbitrary order where the parasupersymmetry is between the normal bosons and those corresponding to the truncated harmonic oscillator. We show that even though the parasusy algebra is different from that of the usual parasusy quantum mechanics, still the consequences of the two are identical. We further show that the parasupersymmetric quantum mechanics of arbitrary orderp can also be rewritten in terms ofp supercharges (i.e. all of which obeyQ _i ² =0). However, the Hamiltonian cannot be expressed in a simple form in terms of thep supercharges except in a special case. A model of conformal parasupersymmetry is also discussed and it is shown that in this case, thep supercharges, thep conformal supercharges along with HamiltonianH, conformal generatorK and dilatation generatorD form a closed algebra.     

Operator method and eigenvalues of the triple-well anharmonic oscillator

Using an algebraic technique based on the Lie algebra of the group SO(2, 1) the eigenvalues of the triple-well anharmonic oscillator are calculated for all ranges of the coupling constant. Approximate analytic formulas for the eigenvalues up to second order are given. The results obtained are compared with those of other authors.     

高阶拟线性椭圆型方程奇摄动问题

本文利用微分不等式和多重尺度，研究了一个高阶椭圆型偏微分方程摄动边值问题，并得到了一致有效的渐近展开式。     

Shock solution for quasilinear singularly perturbed Robin problem

The shock solution for the quasilinear singularly perturbed Robin problem is considered. Under suitable conditions and using the theory of differential inequalities the existence and asymptotic behavior of the shock solution for the original boundary value problems are studied.