On convergence of a semi-analytical method for American option pricing

We examine the valuation of American put options by a semi-analytical method, and obtain the prior estimate and the convergence of the approximate solution. Our proofs are based on the embedding theorem in Sobolev space and the theory of functional analysis, in particular, the theory of weak compactness. The results in this paper theoretically confirm empirical observations that these methods are accurate and computationally efficient.     

Effect of magnetic field on the TC and magnetic properties for the aligned MnBi compound

In the compound MnBi, a first-order transition from the paramagnetic to the ferromagnetic state can be triggered by an applied magnetic field and the Curie temperature increases nearly linearly with an increase in magnetic field by ∼2 K/T. Under a field of 10 T, T_C increases by 20 and 22 K during heating and cooling, respectively. Under certain conditions a reversible magnetic field or temperature induced transition between the paramagnetic and ferromagnetic states can occur. A magnetic and crystallographic H-T phase diagram for MnBi is given. Magnetic properties of MnBi compound aligned in a Bi matrix have been investigated. In the low temperature phase MnBi, a spin-reorientation takes place during which the magnetic moments rotate from being parallel to the c-axis towards the basal plane at ∼90 K. A measuring Dc magnetic field applied parallel to the c-axis of MnBi suppresses partly the spin-reorientation transition. Interestingly, the fabricated magnetic field increases the temperature of spin-reorientation transition T_s and the change in magnetization for MnBi. For the sample solidified under 0.5 T, the change in magnetization is ∼70% and T_s is ∼91 K.     

固态富马酸单乙酯在变温1H MAS与CRAMPS研究

富马酸单乙酯(FAME)的单脉冲¹H MAS谱由-高分辨成分与-宽线谱成分组成.高分辨成分可由Hahn回波脉冲序列单独获得.文中通过变温¹H MAS与CRAMPS实验对两组分的性质进行了系统的研究.发现当温度趋于样品的熔点时,其¹H CRAMPS谱可观察到化学位移明显区别的两套谱,它们分别对应于¹H MAS谱的高分辨与宽线组分.实验表明:高分辨成分来自FAME样品的-塑性相,而宽线组分来自通常的刚性相.文中所给出的实验事实充分说明¹H MAS与CRAMPS技术是研究有机塑性固体的强有力的工具.     

直线感应加速器加速腔物理设计与研究

简要介绍直线感应加速器（ＬＩＡ）加速腔物理设计的几个关键问题．讨论了加速电压及其平顶和腔参数的关系．对腔的耦合阻抗与束流不稳定性的关系作了概念性介绍，分析了降低耦合阻抗的途径．并给出两个加速腔设计原型．     

用于扩展目标自适应光学校正的相关波前传感器的理论和实验

研究了使用非相干、扩展光源的波前误差测量技术，分析了使用强度透过串型像面掩模的扩展目标相关波前探测原理，讨论了模拟目标的选择问题，探讨了根据目标图像生成像面掩模图像、进而制作像面掩模的方法，给出了所生成的像面掩模图像的典型结果，进行了以强度透过率型掩模为特征的单子孔径扩展目标波前传感器原理实验，比较了两种不同掩模的波前探测效果，获得了与理论分析一致的实验结果。     

有矩形脉冲内热源的平板中非傅里叶导热研究

 对矩形激光短脉冲能量以内热源形式在有限厚绝热平板内释放所导致的非傅里叶导热过程进行了理论研究，利用格林函数与有限积分变换方法求得了绝热平板内温度分布的解析解,分析了平板内热波传播与反射行为以及温度场的特征。研究结果表明，温度波动频率取决于平板厚度和材料的热弛豫时间，而其幅值则与内热源释放区域的大小和脉冲宽度的长短有关。     

一类含非局部源的非线性退化抛物型方程

The global existence and finite time blow up of the positive solution for a nonlinear degenerate parabolic equation with non-local source are studied.     

Blue/green light‐emitting diode based on diethyl[N‐arylmethylenethiobenzahydrazonato]gallium complexes

Three diethylgallium complexes of type Et₂GaL [L = N‐(4‐methoxy) benzylidenethiobenzahydrazonato ( 1 ), N‐(4‐N,N‐dimethylamino)benzy lidenethiobenzahydrazonato ( 2 ) and N‐(9‐anthryl)methylenethio benzahydrazonato ( 3 )] were synthesized by the reaction of triethylgallium with appropriate N‐arylmethylenethiobenzahydrazones. The compounds obtained were characterized by elemental analysis, ¹H NMR, IR and mass spectroscopy, respectively. Monolayer light‐emitting diodes based on the diethyl[N‐arylmethylenethio benzahydrazonato]gallium doped poly(vinylcarbazole) were fabricated using a spin coating method. The photoluminescent and electroluminescent emission spectra of 1 and 3 were measured (429 and 479 nm for 1 and 3 , respectively). The electroluminescent properties of 1 and 3 were also studied. The electroluminscence bands are located in the blue/green region (465 and 510 nm for complexes 1 and 3 , respectively). Copyright © 2006 John Wiley & Sons, Ltd.     

Theory of Atom Optics: Feynman''s Path Integral Approach

The present theory of atom optics is established mainly on the Schr?dinger equations or the matrix mechanics equation. The authors present a new theoretical formulation of atom optics: Feynman’s path integral theory. Its advantage is that one can describe the diffraction and interference of atoms passing through slits (or grating), apertures, and standing wave laser field in Earth’s gravitational field by using a type of wave function and calculation is simple. For this reason, we derive the wave functions of particles in the following configurations: single slit (and slit with the van der Waals interaction), double slit, N slit, rectangular aperture, circular aperture, the Mach-Zehnder-type interferometer, the interferometer with the Raman beams, the Sagnac effect, the Aharonov-Casher effect, the Kapitza-Dirac diffraction effect, and the Aharonov-Bohm effect. The authors give a wave function of the state of particles on the screen in abovementioned configurations. Our formulas show good agreement with present experimental measurements.     

m-Uniformization and metrization of fuzzy topological spaces

In this paper the fuzzy pseudo metric is introduced in the fuzzy unit interval and based on it theorems on m-uniformization and metrization of fuzzy topological spaces are proved.