不同边界条件下一维双原子链的晶格振动

在自由边界条件和驻波边界条件下，讨论分析了一维双原子链晶格振动的振动模和色散关系，并与周期性边界条件下的结果进行了比较；明确了在不同边界条件下讨论实际原子链晶格振动的振动模和色散关系，其结果是相同的。     

超晶格中电场单极畴与偶极畴的形成和输运

采用分立漂移模型,数值模拟和分析直流偏压下超晶格中单极电场畴和偶极电场畴的形成和输运.随着超晶格两端接触层掺杂浓度和阱中掺杂浓度的不同,可以得到单极畴、偶极畴以及单极畴与偶极畴共存 关键词： 超晶格 单极畴 偶极畴 电流自激振荡     

玻璃中的半导体量子点

介绍了玻璃中的半导体量子点。对玻璃中半导体量子点的生长过程、量子的电子态，量子尺寸效应、库仑阻塞效应及介电效应，做了比较全面的介绍。讨论了量子点的应用及发展前景。     

聚乙炔中孤子的理论分析

在连续理论基础上，借助于自陷势分析了二聚化聚乙炔中的更键畴壁即孤子. 由于孤子的长度是原胞长度的10多倍，孤子可以利用连续模型得到很好的分析. 更键畴壁处的电子密度与其他地方不同，可以用电子密度的变化来分析畴壁的形成过程. 通过分析求解，得到聚乙炔链中电子波函数的包络函数满足非线性Schrödinger方程，该方程有孤子解. 由此得到孤子的解析解，与Su, Schrieffer和Heeger的数值计算结果相一致.     

原子链与弦中波包演化的比较分析

分析了一维单原子链中与连续弦中的波包的演化过程.弦中的波包以恒定速度移动,且保持形状不变;而原子链中的波包在演化过程中形状不断地发生变化.通过比较分析一维单原子链与弦振动的色散关系,讨论了波包演化的不同以及离散的原子链到连续弦的过渡.     

Discrete gap breathers in a diatomic K2-K3-K4 chain with cubic nonlinearity

The discrete gap breathers （DGBs） in a one-dimensional diatomic chain with K2-K3-K4 potential are analysed. Using the local anharmonicity approximation, the analytical investigation has been implemented. The dependence of the central amplitude of the discrete gap breathers on the breather frequency and the localization parameter are calculated. With increasing breather frequency, the DGB amplitudes decrease. As a function of the localization parameter, the central amplitude exhibits bistability, corresponding to the two branches of the curve ω = ω（ζ）. With a nonzero cubic term, the HS mode of DGB profiles becomes weaker. With increasing K3, the HS mode of DGB profiles becomes weaker and a bit narrower. For the LS mode, with increasing K3, the central particle amplitude becomes larger, and the DGB profile becomes much sharper. But, as k3 increases further, the central particle amplitude of the LS mode becomes smaller.     

Compact-like discrete breather and its stability in a discrete monatomic Klein--Gordon chain

This paper studies a discrete one-dimensional monatomic Klein--Gordon chain with only quartic nearest-neighbor interactions, in which the compact-like discrete breathers can be explicitly constructed by an exact separation of their time and space dependence. Introducing the trying method, it proves that compact-like discrete breathers exist in this nonlinear system. It also discusses the linear stability of the compact-like discrete breathers, when the coefficient (β) of quartic on-site potential and the coupling constant (K₄) of quartic interactive potential satisfy the given conditions, they are linearly stable.     

Multi-site Compact-Like Discrete Breather in Discrete One-Dimensional Monatomic Chains

Multi-site compact-like discrete breathers in discrete one-dimensional monatomic chains are investigated by discussing a generalized discrete one-dimensional monatomic model. We obtain that the two-site compact-like discrete breathers with codes σ = （0,..., 0, 1, 1, 0,..., 0）and codes σ= （0,..., 0, 1, -1, 0, ..., 0） can exist in discrete one-dimensional monatomic chain with quartic on-site and inter-site potentials. However, the former can only exist in hard quartic on-site potential and cannot exist in soft quartic on-site potential, whereas the latter is just reversed. A11 of the two-site Compact-like discrete breathers with codes σ = （0,..., 0, 1, 1, 0,..., 0） and σ （0,... ,0, 1, -1,0,... ,0} cannot exist in a pure K4 chain.     

Kronig-Penney模型中的电子波函数

利用波函数及其导数的连续性条件,讨论Kronig—Penney模型中的电子波函数,得到Kronig—Penney模型相邻周期中波函数的转移矩阵,通过转移矩阵分析得到Kronig—Penney模型中的电子波函数,并进行了讨论．     

一维单原子链中杂质引起的局域振动模

讨论了一维单原子链中杂质引起的晶格局域振动模和局域振动图像,分析了杂质质量和杂质近邻力常数对振动模的影响,通过数值求解晶格振动运动方程组．给出了局域振动模关于杂质质量和杂质近邻力常数分布的相图;分析了含杂质晶格振动模频率相对于完整晶格振动模频率的变化。