Exact Solution of the Generalized Rabi Model
Degang Zhang
| The generalized Rabi model is exactly solved by employing the unitary transformation method in the occupation number representation. The analytical expressions for the complete energy spectrum consisting of two sub-energy spectra are presented in the whole range of all the physical parameters. Each energy level possesses twofold degeneracy and is determined by the parameter in the unitary transformation, which obeys a highly nonlinear equation. The corresponding eigenfunction is a convergent infinite series in terms of these physical parameters. Due to the level crossings between the neighboring eigenstates at certain parameter values, such the degeneracies could lead to novel physical phenomena in these quantum systems with the light-matter interaction. |
带逆耗散势的修正牛顿动力学方程-解释暗物质和暗能量的一种可能模型
胡锦文
| 本文在牛顿动力学方程中引入了逆耗散势，并研究孤立引力系统中物体的运动方程，发现在大尺度下它可以推导出与模型相似的宇宙膨胀动力学方程，以及推导出盘状星系的渐近平坦的旋转速度性质，与通常暗物质模型不同的是，这种渐近平坦的旋转速度性质是时间积累的结果，而不是力学直接作用的结果，以及讨论了Tully-Fisher关系，发现MOND模型中的自然常数a0以及u函数的形式在本文的模型中有着明确对应的物理意义。 |
An Explanation of the Interactions between Waves and Electrons: Discussion of Electromagnetic Fields
Weiye Xu
| The interactions between waves and electrons are the basis of vacuum tubes and particle accelerators. In order to further understand the interactions, we proposed a new electromagnetic model. In this model, the photon is composed of two elementary particles – ephoton and mphoton, which are the basic particles that form the electric fields and magnetic fields, respectively. There are many ephotons around the electrons and the electrons can absorb the ephotons. The proposed electromagnetic model can well explain the electromagetic phenomena and the interactions between waves and electrons. |
| 选取西北旱区吉兰泰盐湖盆地为研究对象，土壤按照表土层（0~10cm）、心土层(-50cm)和底土层(-100cm)分层取样，系统采集了120个土壤样品，测定了重金属Cr、Hg和As，以及主要化学成分的含量，以数理统计法、Tomlinson污染负荷指数法、US EPA健康风险评估模型，解析评价了盐湖盆地Cr、Hg和As的污染及污染负荷特征、潜在健康风险水平及空间分布特征。结果表明：① 吉兰泰盐湖盆地土壤各层均含有Cr、Hg、As，以内蒙古地区背景值为基准，盐湖盆地土壤存在Cr、Hg、As的局部超标点或超标区域，Hg和As的超标率高达60%以上；Cr、Hg和As在不同土壤深度重金属含量差异性不显著；相对内蒙古整个地区来说，盐湖盆地土壤Cr、Hg、As含量较高；而对比《土壤环境质量标准》（GB 15618─1995）二级标准值，盐湖盆地的Cr、Hg、As含量均属于国家标准范围以内；② 基于内蒙古地区背景值，吉兰泰盐湖盆地土壤污染负荷整体属于轻微污染，主要在西南图格力高勒沟谷和低山台地区域，为中度污染或强度污染；不同土壤深度污染负荷依次为：表土层>心土层>底土层；③ 盐湖盆地的土壤对于Cr、Hg、As不存在非致癌的健康风险，而对于Cr、As，在沿巴彦乌拉山─贺兰山存在人体可耐受的致癌风险；非致癌风险或致癌风险对于儿童或成人在土壤各层差异不明显，非致癌风险儿童在所有土壤层均大于成年，致癌风险成人均大于儿童；④ 研究成果对于西北旱区盐湖盆地土壤或地下水的安全合理开发利用具有一定实际参考意义。 |
| 本文分析讨论了加速器的百年历史， 从思想的萌芽、理论的突破与准备、技术的准备与储存、实验的成功、加速器的未来与展望等几个方面进行了论述。 |
On the analytical solution of accelerating structure
朱雄伟
| 本文讨论了加速结构中的解析求解问题， 主要讨论了场和等效电路两种求解方法。 |
Comment on ”Integrability of the Rabi Model”
Degang Zhang
| In this Comment, I point out that the Braak's analytical solution doesn't exhibit the true energy spectrum of the Rabi model due to the derivation error in solving the time-independent Schrodinger equation. |
Exact Solution for Three-Dimensional Ising Model
Zhang, Degang
| Three-dimensional Ising model in zero external field is exactly solved by operator algebras, similar to the Onsager's approach in two dimensions. The partition function of the simple cubic crystal imposed by the periodic boundary condition along both $(0 1 0)$ and $(0 0 1)$ directions and the screw boundary condition along the $(1 0 0)$ direction is calculated rigorously. In the thermodynamic limit an integral replaces a sum in the formula of the partition function. A order-disorder transition in the infinite crystal occurs at a temperature $T=T_c$ determined by the condition: $\sinh\frac{2J}{k_BT_c}\sinh\frac{2(J_1+J_2)}{k_BT_c}=1$, where $(J_1 J_2 J)$ are the interaction energies in three directions, respectively. The analytical expressions for the internal energy and the specific heat are also given. It is also shown that the thermodynamic properties of 3D Ising model with $J_1=J_2$ are connected to those in 2D Ising model with the interaction energies $(J_1 J_{2D})$ by the relation $(\frac{J_{2D}}{k_BT})^*=(\frac{J}{k_BT})^*-\frac{J_1}{k_BT}$, where $x^*=\frac{1}{2}{\rm ln coth} x={\rm tanh}^{-1}(e^{-2x})$. |
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世界遗产地对具有突出普遍价值的生物多样性和珍稀濒危物种及其栖息地等的保护具有重要作用。该文在申遗文本和大量文献资料的基础上，以峨眉山世界遗产地原生植物及植被群落为研究对象，从物种多样性、物种组成、植物区系、植被类型及垂直分布格局等方面，分析论证了峨眉山世界遗产地植物多样性的全球突出普遍价值，并简要概述了当前峨眉山世界遗产地植物受威胁状况以及在保护与发展中出现的问题。结果表明：（1）峨眉山世界遗产地目前拥有高等植物242科3200种以上，特有植物、孑遗植物种类丰富；（2）与中国其他湿润性亚热带山地森林垂直带谱相比，峨眉山亚热带森林植被类型完整，常绿阔叶林东部类型在山地垂直带谱中占据显著地位，海拔上限最高，跨度最大，具有典型的亚热带常绿阔叶林东部亚区森林群落特点；（3）植物区系复杂，既有热带、亚热带和温带植物区系成份，又有中国—日本与中国—喜马拉雅植物区系分布；（4）受人为活动（旅游发展、基础设施建设等）和自然扰动（气候变暖、地质灾害等）影响，峨眉山世界遗产地植物多样性下降明显，珍稀濒危植物受威胁程度增加，典型群落面积退化，稳定性降低。建议在划定珍稀植物保护区，对植物栖息地进行专门保护的基础上，开展植物多样性、环境因子、人为活动动态监测，预见性的保护其突出普遍价值，实现世界遗产地的可持续发展。 |
Synchrotron radiation intensity and energy of runaway electrons in EAST Tokamak.pdf
张永宽
| A detailed analysis of the synchrotron radiation intensity and energy of runaway electrons are presented for EAST. In order to make the energy of the calculated runaway electrons more accurate, we take the shafranov shift into account. The results of the analysis show that the synchrotron radiation intensity and energy of runaway electrons did not reach the maximum at the same time. The energy of runaway electrons reached the maximum value first, and then the synchrotron radiation intensity of the runaway electrons reached the maximum. We also analyzed the runaway electrons density, and it shows the density of runaway electrons continuously increased. For this reason, although the energy of the runaway electrons drops but the synchrotron radiation intensity of the runaway electrons will continue rising for a while |