High-resolution infrared spectra of OOO ozone isotopomer in the range 900-5000 cm: line positions

Continuing the systematic study of ozone high-resolution infrared spectra, we present in this paper the measurements and analyses of line positions for the ¹⁸O¹⁶O¹⁸O isotopomer. In the range 900-5000 cm⁻¹, corresponding to the observed spectra, 15 bands are analysed: ν₁, ν₃, ν₂+ν₃, ν₁+ν₂, 2ν₃, ν₁+ν₃, 2ν₁, ν₂+2ν₃, ν₁+ν₂+ν₃, 3ν₃, 2ν₁+ν₃, ν₂+3ν₃, ν₁+3ν₃, ν₁+ν₂+3ν₃, and 5ν₃. As in the case of ¹⁶O₃, ¹⁸O₃, and ¹⁶O¹⁸O¹⁶O, the analysis of these bands is performed using effective rovibrational Hamiltonians for nine polyads of interacting upper vibrational states. To correctly reproduce all observed transitions, we have to account for resonance perturbations due to 13 “Dark” states: (0 3 0), (0 4 0), (2 1 0), (0 3 1), (1 0 2), (0 4 1), (1 1 2), (3 1 0), (0 3 2), (0 0 4), (3 2 0), (0 1 4), and (0 4 2). We present the range of observed transitions, the results for spectroscopic parameters (vibrational energy levels, rotational and centrifugal distortion constants, and resonance coupling parameters), as well as the statistics for rovibrational energy levels, calculations and measurements. A comparison of observed band centres with those predicted from an isotopically invariant potential function is discussed. The RMS deviation between predicted and directly observed band centres is ≈0.03 cm⁻¹ up to 3000 and ≈0.25 cm⁻¹ for all 16 bands up to 5000 cm⁻¹.     

带斯塔克势的非线性Schroedinger方程解的不稳定性

研究带斯塔克势的非线性Schroedinger方程iut=-1/2Δu＋V（x）u-k｜u｜^4/nu,t≥0,x∈R^N,u（0,x）=u0（x）的解的性质．运用能量方法得到了当初值满足一定条件时，方程的解会在有限时间里发生爆炸的充分条件．     

The Role of Frame Force in Quantum Detection

A general method is given to solve tight frame optimization problems, borrowing notions from classical mechanics. In this article, we focus on a quantum detection problem, where the goal is to construct a tight frame that minimizes an error term, which in quantum physics has the interpretation of the probability of a detection error. The method converts the frame problem into a set of ordinary differential equations using concepts from classical mechanics and orthogonal group techniques. The minimum energy solutions of the differential equations are proven to correspond to the tight frames that minimize the error term. Because of this perspective, several numerical methods become available to compute the tight frames. Beyond the applications of quantum detection in quantum mechanics, solutions to this frame optimization problem can be viewed as a generalization of classical matched filtering solutions. As such, the methods we develop are a generalization of fundamental detection techniques in radar.      

Ni2分子结构和分子轨道密度(DMO)的成键贡献

用密度泛函(B3P86/6-311g*)方法研究了Ni2分子结构和势能函数.结果表明基态Ni2为5Πg,平衡间距为Re=0.223 196 nm,离解能为1.851 16 eV.定义了分子轨道密度(DMO, density of molecular orbital)并研究了镍双原子分子的s, p, d, f的DMO对成键的贡献,为进一步研究金属的态密度提供了有益的参考价值.     

植物病毒电免疫检测方法研究

用制备的电极测试提纯的 TMV病毒 ,在 p H6 .0 ,6 .5,7.0 ,7.5,0 .0 1mol/ L PBS缓冲液中平衡得电极 ,用对应 p H的 TMV(0 .1mg/ m L)测试 ,电极电位都增大 ,且随 p H升高 ,增大幅度减小 ;在 p H8.0 ,8.5PBS缓冲液中平衡好的电极 ,同上测试 ,电极电位下降。电极在 p H2 .8,0 .2 mol/ L甘氨酸 -盐酸缓冲液中再生后可重复使用 ,电极至少可重复使用一月。用珊西烟 TMOV病叶的粗汁液与健康叶粗汁液测试 ,前者电位变化明显比后者大 ,说明粗汁液对电位有影响 ,但不会掩盖由于免疫反应引起的电位变化     

H2Cl^＋（X^1A1）体系的结构与势能函数

在ａｂｉｎｉｔｉｏ计算的基础上，应用多体展式理论方法导出了Ｈ２Ｃｌ＋（Ｘ１Ａ１）体系的全势能表面。结果表明在Ｃｌ＋Ｈ＋２通道上存在一鞍点，垒高０．５ｅＶ。     

Congestion games revisited

Strategic games are considered where the players derive their utilities from participation in certain “processes”. Two subclasses consisting exclusively of potential games are singled out. In the first, players choose where to participate, but there is a unique way of participation, the same for all players. In the second, the participation structure is fixed, but each player may have an arbitrary set of strategies. In both cases, the players sum up the intermediate utilities; thus the first class essentially coincides with that of congestion games. The necessity of additivity in each case is proven. Financial support from Presidential Grants for the State Support of the Leading Scientific Schools (NSh-1843.2003.01 and NSh-5379.2006.1), the Russian Foundation for Basic Research (grant 05-01-00942), the Spanish Ministry of Education (project SEJ2004-00968), and the Lady Davis Foundation (a fellowship at the Technion, Haifa) is acknowledged. I thank Francisco Marhuenda and Dov Monderer, respectively, for procuring the last two grants. My deepest gratitude and apology are due to an anonymous referee, who carefully read two versions of the paper, suggested several improvements, and uncovered several errors, including a wrong formulation of Theorem 1. Finally, I apologize to Mikhail Gorelov, who had warned me that something was wrong with the theorem (unfortunately, I failed to pay proper attention).     

Two-weight Inequalities for Commutators of Potential Operators on Spaces of Homogeneous Type

We derive the two-weight inequalities for the commutators of potential integral operators in the context of spaces of homogeneous type. The conditions required of the weights involve the Orlicz bumps. As a consequence, we obtain the norm estimates for these commutators for arbitrary weights. Supported by the National Natural Science Foundation of China (Nos. 10771049, 60773174) and the Natural Science Foundation of Hebei Province (08M001).     

双芯光纤孤子开关及其势函数研究

根据耦合非线性薛定谔方程研究孤子在双芯光纤中的传输,讨论了两芯具有不同增益或损耗的双芯光纤孤子开关特性。并用势函数的概念解释孤子在双芯光纤中的传输与开关行为。