夸克的半经典输运方程

对夸克的量子输运方程取半径典近似时保留到Wigner函数的一次微商项;在色空间和自旋空间展开这个半经典输运方程,得到了色单态自旋标量和色单态自旋矢量的输运方程:并把得到的结果和阿贝尔等离子体进行比较讨论了QGP的非阿见尔性质.     

自旋玻璃系统的量子输运方程

通过引入电子的弹性散射和非弹性散射的自能和相应的物理格林函数，将磁场中的Ｍａｈａｎ－Ｈ?ｎｓｃｈ量子输运方程推广到自旋玻璃系统中，在电子的近弹性散射近似下，求解了ｓ－ｄ交换相互作用导致的自旋玻璃态霍耳电导；获得了电阻率与自旋玻璃Ｅｄｗａｒｄｓ－Ａｎｄｅｒｓｏｎ（ＥＡ）序参数和局域磁化率之间的关系；讨论了自旋玻璃热电势和特征温度。 关键词：     

QGP中胶子的经典输运方程

建立了夸克胶子等离子体中胶子的经典输运方程, 并讨论了它与胶子的量子输运方程以及它与夸克的经典输运方程之间的关系.     

在弛豫时间近似下QGP中夸克输运系数的一种计算

从动力论方程出发,考虑QGP中平均场效应,采用弛豫时问近似,给出了关于QGP输运系数的一种分析方法,推导出QGP中夸克输运系数解析式,讨论了QGP粘滞效应与导热效应.     

双阱结构含时量子输运的微扰论及输运方程

利用Lewis-Riesenfeld不变量理论和与不变量有关的幺正变换方法研究了双阱结构含时量子 输运的微扰论.获得了双阱内含时薛定谔方程的精确解的完备集，在此基础上，把双阱与左 右热库的相互作用作为微挠，获得了双阱结构一阶近似下的输运方程，并在绝热近似下提供 了一种用于研究量子输运过程中几何相因子(Berry相因子)的方法. 关键词： 含时量子输运 输运方程 不变量 几何相因子     

相互作用量子点的自旋相关输运

介绍了与磁性电极耦合的量子点的近藤共振、单电子能级自旋劈裂、磁化和线性电导等物理性质．研究结果显示，当磁性电极磁矩取向相同的时候，线性电导在低温下呈现双峰结构．而近藤共振和单电子能级的自旋劈裂都可以通过电极的内部磁化强度来控制，可以用来产生自旋阀效应．     

等时量子输运理论

在普遍量子情形下,建立了协变Ｗｉｇｎｅｒ函数的能量矩的等时动力论链和链的截断方案,得到了与低阶矩相关的物理密度量的输运方程和约束方程,并且证明高阶矩都能通过低阶矩表示．     

夸克激发与质子自旋

提出一种新的重子波函数,它由SU(6)对称的三夸克组态和伴随的海夸克激发与价夸克激发组态构成.用此波函数对GA/GV,μP/μn及夸克自旋对质子自旋贡献的计算结果与实验数据符合甚好.     

夸克-反夸克束缚态的B-S方程与介子谱的计算

本文对瞬时近似的夸克-反夸克体系的Bethe-Salpeter方程中的γ-矩阵给出正确的Gordon约化的结果,并恰当地考虑了方程中投影算子及B-S振幅的小分量的贡献.在此基础上推导出准至p²/m²级近似的B-S方程的正确形式.进而利用B-S振幅的归一化条件,找到了B-S振幅与Pauli-Schrodinger波函数之间的关系.据此求得了包含相对论修正的Pauli-Schrodinger方程.利用变分法求解此方程,得到了与实验符合较好的介子谱.     

平衡方程输运理论与电子关联

１９３４年丁秦生和雷啸霖提出的热载流子输运平衡方程理论把电场作用下多电子运动化为一个单粒子（质心）的力学运动加上相对电子的统计运动，这使得非线性输运得到简洁描述，成为实际系统输运研究中很有用的方法。它的成功也重新引发了学术界的与之争。争论使人们认识到当前存在两类不同的输运理论。通常的玻耳兹曼方程、久保公式等代表弱电子耦合极限，得出的线性电阻率正比于；而雷－丁平衡方程理论、力关联函数公式等则代表强电子耦合极限，得出的线性电阻率正比于．两种理论都在广泛使用，各有自己的适用范围和局限。     

QGP中夸克静色电波的辐射研究

利用QGP中存在德拜屏蔽现象以及高温极限下QGP中夸克的分布函数和色电势,得到QGP中夸克静色电波的辐射功率. 讨论了夸克静色电波的辐射功率与德拜长度λ_D的关系,有助于利用辐射功率研究德拜屏蔽位势.     

Quantum Transport and Boltzmann Operators

In this paper the transport of quantum particles in time-dependent random media is studied. In the white noise limit, a quantum model for collisions is obtained. At the level of Wigner equation, this limit is described by a linear Wigner-Boltzmann equation. AMS subject classifications: 35Q40, 35S10, 81Q99, 81V99 á Fredo. Frédéric Poupaud deceased October 13th 2004. This research was partially supported by the EU financed network IHP-HPRN-CT-2002-00282 and by MCYT (Spain), Proyecto BFM2002–00831.     

Propagators and Masses of Light Quarks

Based on Dyson-Schwinger equations in “rainbow“ approximation, fully dressed confining quark propagator is obtained, and then the masses of light quarks (mu, md, and ms) are derived from the fully dressed confining quark propagator. At the same time, the local and non-local quark vacuum condensates as well as the quark-gluon mixed condensate are also predicted. Furthermore, the quark masses are also deduced from the Gell-Mann-Oakes-Renner relation and chiral perturbative theory. The results from different methods are consistent with each other.     

Propagators and Masses of Light Quarks

Based on Dyson-Schwinger equations in “rainbow” approximation, fully dressed confining quark propagator is obtained, and then the masses of light quarks (mu, md, and ms) are derived from the fully dressed confining quark propagator. At the same time, the local and non-local quark vacuum condensates as well as the quark-gluon mixed condensate are also predicted. Furthermore, the quark masses are also deduced from the Gell-Mann-Oakes-Renner relation and chiral perturbative theory. The results from different methods are consistent with each other.     

Spinor Boltzmann Equation with Two Momenta at the Fermi Level

Based on the formalism of Keldysh's nonequilibrium Green function, we establish a two momenta spinor Boltzmann equation for longitudinal scalar distribution function and transverse vector distribution function. The longitudinal charge currents, transverse spin currents and the continuity equations satisfied by them are then studied, it indicates that both the charge currents and spin currents decay oscillately along with position, which is due to the momenta integral over the Fermi surface. We also compare our charge currents and spin currents with the corresponding results of one momentum spinor Boltzmann equation, the differences are obvious.     

Classical Theory of Hot-Electron Transport in Electric and Magnetic Fields

Balance equation approach to the hot-electron transport in electric and magnetic fields is reformulated.The balance equations are re-derived from the Boltzmann equation. A new expression for the distribution function isreported in the present paper. It is homogeneous steady solution of the Boltzmann equation in constant relaxation timeapproximation. It holds when ωocτ < i or ωc < Te. As an example, the mobility of 2D electron gas in the GaAs-AlGaAsheterojunction is computed as a function of electric field and magnetic field.