DISTRIBUTIONS OF LIMIT CYCLES FOR POLYNOMIAL VECTOR FIELDS (P_2, Q_3)

The distributions of limit cycles of cubic vector fields (P2, Q3) are considered in this paper, where P2 and Q3 are polynomials of x and y of order two and three, respectively. It is possibly seven different distributions of limit cycles given in [1]. We now prove that in which three kinds of distributions are impossible and other four kinds all can be realized by concrete vector fields of (P2,Q3). Some related results are also given.     

BIFURCATION DIAGRAMS OF SYSTEM =-y δx lx~2 ny~2,=x ax~2

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SPR棱镜传感器测量液体折射率的原理

推导了消失波函数的表达式,介绍了衰减全反射现象及SPR传感器测量液体折射率的原理,并利用SPR传感器测量了牛奶样品的反射系数及折射率与脂肪等主要成分含量的关系曲线.     

Compact Single-Stage Femtosecond Multipass Ti：Sapphire Amplifier at 1 kHz with High Beam Quality

A compact femtosecond Ti：sapphire amplifier system is reported using single-stage multipass configuration with high beam quality. A high dispersion glass stretcher and a pair of double prisms for compression are introduced based on broadband femtosecond seed pulses. The non-grating-based pulse stretcher and compressor are advantageous to increase high beam quality and to reduce the high-order dispersion. A Gaussian filter is used to reduce the gain narrowing effect in amplification. The compact femtosecond Ti：sapphire nine-pass amplifier delivers pulses with a duration of 26 fs and an energy of 800μJ at 7mJ pumping pulses energy at I kHz. The 1-kHz femtosecond amplifier with high beam quality and high stability is very suitable for ultrafast physics research applications, such as attosecond science, ultra-precision micromachining, and THz wave generation.     

关于自双反函数的性质之研究

阐述了双反函数、自双反函数和多数函数的定义,提出了自双反函数的性质.根据上述定义利用布尔代数中的基本概念、定理和公式证明了这些性质,展示了自双反函数在RM展开系数图(bj图)中的特点,讨论了自双反函数在函数分类中的应用.     

改进的本征态展开方法求解含时薛定谔方程

本改进了原有的本征态展开方法。通过从能量E到q=（2E）的平方根的表象变换，不仅准确地计算了在此方法中起重要作用的低能电子布居，而且大幅度地减少了计算时间。利用这个高效的方法，我们计算了在强激光作用下一个模型原子的高次谐波发射谱。     

Dynamic Mechanism of Sustainable Molecular Orientation Generated From Cyclic Rotational States

Recently, two papers presented by Ortigoso et al. [Phys. Rev. Lett. 93 （2004） 073001 and Phys. Rev. A 72 （2005） 053401] develop a novel strategy in which the best sustainable molecular alignment/orientation has been achieved. We intend to analyse the dynamic mechanisms, including those Ortigoso et al. have not clarified.     

OClO与OH反应机理的理论研究

用密度泛函B3LYP/-311+G~(* *)和级电子相关倒映 合簇CCSD(T)/6-311+G~(* *)方法研究了OClO与OH反应的微观机理，研究结果表明：该反应经过缔合、H转移 和离解等复杂过程，最终得到四种产物，分别为HOCl+O_2，HCl+O_3,ClO+HO_2和 HOClO_2,从能量上看，形成HOCl+O_2和HCl+O_3的通道更容易进行，而形成 ClO+HO_2的通首在动力学上是最不利的。     

碱性溶液中金电极上氧还原中间物研究

应用改进了的旋转全电极上的电势阶跃计时库仑法,分别测定了不同电极电势下氧还原过程中电极吸附中间物和溶解中间物氧化所需的电量,实验证明,在此过程中电极上确有吸附中间物存在,而且是电极电势的函数,但其分子属性尚需进一步鉴别。