多用户类多准则交通分配的势博弈与拥挤定价

交通管理者在解决路网拥挤问题时,并不知道出行者的出行效用,同时管理者难以对出行者的路径选择行为做出准确的观测.运用势博弈理论分析多用户类多准则交通行为的演化过程,得到了固定需求和弹性需求情形下的可容许动态(一种刻画出行者通过转换路径增加当前效用的近似调整行为的演化动态),证明当路段时间函数和逆需求函数为严格单调、连续、可微时,所对应的交通分配是势博弈问题的惟一Nash均衡点.进一步研究了固定需求下的可变拥挤道路收费问题,得到了在当前系统状态下实现系统最优交通分配的拥挤收费水平.     

反对称线性变换与Gram-Schmidt正交化

利用反对称矩阵可实施反对称变换,将任意非零向量转变为与之正交的向量.基于这一考虑,可对给定向量组实施反对称线性变换,将其转化为一个与之等价的正交向量组.该种线性变换从另一角度解释了Gram-Schmidt正交化.     

公路客运监管的进化博弈分析

运用进化博弈理论研究公路客运监管问题,建立了公路客运监管问题的博弈模型,分析了公路客运车主和公路客运管理者之间的行为选择,得到了博弈方的复制动态方程,研究了博弈模型的进化稳定策略。探讨了影响进化稳定策略的因素。研究结果表明公路客运车主和公路客运管理者在有限理性基础上得到的进化稳定策略与博弈双方的收益、系统所处的初始状态有关,并根据所提出的博弈模型,提出了合理性建议。     

客运问题的进化博弈分析

构建了客运车主群体之间以及客运车主群体与客运管理部门之间的博弈模型及其复制动态方程,并对复制动态方程做了分析与讨论,得出了博弈模型中各博弈方的进化稳定策略,并根据所提出的博弈模型,提出了合理性建议.     

Continuum Structures at the Second Dissociation Limit of Hydrogen Molecules

We describe near-threshold high-resolution spectra and continuum resonance dynamical behaviour of all three stable hydrogen isotopic variants, and finally obtain improved values for the dissociation energies of hydrogen molecule and its ion. The second dissociation limit is determined by analysing the onset of the vibrational continuum.     

Fifth-order attosecond polarization beats using twin color-locked noisy lights in cascade three-level system with Doppler-free approach

Fifth-order attosecond sum-frequency polarization beat (FASPB) is studied in a cascade three level system with the phase-conjugation fourth-order coherence function theory. An improved schematic diagram of geometry, which is different from that inducing fifth-order femtosecond different-frequency polarization beat (FFDPB), is used to obtain FASPB. By analyzing the cases that pump beams have either narrow or broad bandwidth, it is found that the temporal behavior of the sum-frequency polarization beat signal depends on the properties of the lasers and transverse relaxation rate of the atomic energy-level system. Finally, the cascaded four-wave mixing (FWM) processes and the difference between attosecond and femtosecond polarization beats have been discussed, it is found that cascaded or sequential lower processes can often obscure the direct fifth-order polarization beat processes.     

基于双光子不对称色锁二阶随机关联的阿秒极化拍研究

基于两双光子过程的相位共轭二阶极化干涉，从理论上研究了四能级系统在阿秒量级的不对称和频极化拍频(FASPB).在抽运光束为窄带情形下，场关联对FASPB信号影响很弱.在宽带情形下，FASPB信号表现出共振-非共振交叉关联，双光子信号展现出混合辐射-物质失谐的THz阻尼振荡，即当激光频率偏离双光子共振跃迁的条件时，信号将呈现阻尼振荡，而且其双光子自相关信号的包络还呈现最大值零延时不对称.还研究了由于两双光子自相关过程零延时的偏差导致的阿秒拍频信号的不对称性，和两个双光子信号的最大值分别向相反的方向偏离零延时点的现象.FASPB作为一种阿秒超快调制过程，从理论上说它可以扩展到任何两偶极禁戒跃迁激发态的能级和系统. 关键词： 阿秒和频 极化拍 四能级 双光子     

阿秒极化拍的V型三能级对称二阶相干理论

基于两单光子过程的相位共轭二阶极化干涉，从理论上研究了V型三能级系统在阿秒量级的对称和频极化拍频（SFPB），考虑了抽运光束为窄带线宽或宽带线宽的情形，发现测得的信号对任意带宽的马可夫随机光场的统计特征非常敏感，其在测量偶极禁界跃迁两激发态之间的能级和时并不受激光线宽的限制，仅取决于光学跃迁均匀增宽，而且可以得到消除多普勒增宽的测量精度.在窄带情形下，场关联对SFPB信号影响很弱.在宽带情形下，SFPB信号表现出共振 非共振交叉关联.SFPB作为一种阿秒超快调制过程，从理论上说它可以扩展到任何和频能级系统. 关键词： 阿秒 和频 极化拍 二阶相干     

Near-Threshold Low Rydberg Depletion Spectroscopy of H2, D2, and HD

Using high-resolution depletion spectroscopy, we have experimentally studied the physics of near-threshold low Rydberg states of all three stable isotopic variants of molecular hydrogen. The experiments were required to calibrate the absolute wavelength, including several transitions from the EF (v = 0) and EF (v = 6 or v = 9) to the same low-n Rydberg states. The measurements have been performed for several initial rotational levels in all three stable isotopic variants. Transitions to very high vibrational levels of the B, Bt, and C states have been measured with accuracy 0.002cm^-1. The pulsed amplifier perturbations were also measured by opticalhe terodyne methods.