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．     

基态分子波函数对N2分子在强激光场中产生高次谐波的影响

在强场近似下,利用简单的近似波函数作为分子基态最高占据轨道的波函数,研究了N2分子在强激光场中产生高次谐波的特性,并将结果与用精确的分子波函数作为基态波函数得到的结果进行了比较.结果表明.采用这两种不同的分子基态波函数得到的高次谐波在分子轴与激光偏振方向间的夹角较小时符合得很好,而在夹角较大的情况下,两者的结果差异较大.通过分析不同波函数所给出的电子密度分布,给出了产生这种差异的原因.     

三维各向同性谐振子波函数的递推关系(英文)

本文应用拉普拉斯变换得到了三维各向同性谐振子波函数边界的精确解,同时,利用同种方法还得到了利用产生算符和湮灭算符表达的该波函数的递推关系.     

强耦合SU(3)极限基带波函数的计算

用群论方法给出了IBM4中强耦合SU(3)极限的内禀态波函数,然后用投影方法由内禀态波函数得到了基带波函数.     

纤锌矿GaN柱形量子点中类氢施主杂质态

在有效质量近似和变分原理的基础上,选取含两个变分参数的波函数,研究了纤锌矿结构的GaN/AlxGa1-xN单量子点中类氢施主杂质体系的结合能随量子点(QD)尺寸以及杂质在量子点中位置的变化,并与以前使用不同尝试波函数的计算结果进行了比较。结果表明:由我们选取的两变分参数波函数得到的结果与前人选取的两变分参数波函数得到的结果相比有所改进,而与选取一个变分参数波函数得到的结果一致。同时我们还计算了体系的维里定理值随量子点半径的变化情况,所得结果与前人工作结果一致,说明本文选取的两变分参数波函数能很好地描述柱形量子点中施主杂质态的运动。     

强激光等离子体中的自由电子波函数

借助激光等离子体的光学度规,严格求解了弯曲时空中的狄喇克方程,得到了强激光等离子体中的自由电子波函数。当激光场为零时,该波函数自然地过渡到相对论的自由电子波函数。简单地讨论了该波函数可能的应用。 关键词：     

有源RLC电路量子化的双波描述

采用正则变换量子化以及规范变换方案,得到有源RLC电路量子化哈密顿算符及其波函数.引入双波函数描述其量子状态,得到了电荷、电流等物理量的时间演化方程.对有源RLC电路给出更完整的描述.     

基态分子波函数对N2分子在强激光场中产生高次谐波的影响

在强场近似下,利用简单的近似波函数作为分子基态最高占据轨道的波函数,研究了N₂分子在强激光场中产生高次谐波的特性,并将结果与用精确的分子波函数作为基态波函数得到的结果进行了比较.结果表明,采用这两种不同的分子基态波函数得到的高次谐波在分子轴与激光偏振方向间的夹角较小时符合得很好,而在夹角较大的情况下,两者的结果差异较大.通过分析不同波函数所给出的电子密度分布,给出了产生这种差异的原因. 关键词： 强激光场 强场近似 分子的高次谐波     

Be++离子基态非相对论能量和波函数的变分计算

采用了一种包含坐标张弛系数的试探波函数,对Be++离子的基态能量和解析波函数进行了变分计算,得到了比较理想的结果.     

稀磁半导体Zn1-xMnxTe吸收光谱压力红移的理论研究

以自由Mn²⁺离子的径向波函数为基础,通过引入电子云延伸效应系数κ来修正这一径向波函数,得到了稀磁半导体Zn_1-xMn_xTe晶体中Mn²⁺离子的径向波函数.以此波函数为基础,研究了Zn1-xMnxTe晶体吸收光谱的高压谱移特性,并且得到了吸收谱中四条谱线随压力的红移规律.     

矩形单元声场波函数构造及其应用

在波叠加法中,结构外部声场是在离散边界上对Green函数进行积分并叠加得到,但数值积分的计算效率较低。而等效源法虽然提高了计算效率,但其面源简化为点源的过程中存在较大的积分近似误差。针对上述两种方法的缺陷,构造了一种波函数以替代离散单元关于Green函数积分的声场。首先,利用球坐标系下Helmholtz方程的解,推导了替代矩形单元积分的一般形式波函数及效率更高的内推波函数。其次,当离散单元为正方形时,将其近似成圆形域,进一步简化了内推波函数的表达式。最后,将所构造的波函数应用于声场计算。数值结果表明,在计算单个矩形单元外部辐射声场时,构造的波函数不仅保证了计算精度,而且相比于直接积分大幅度提高了计算效率。其中,矩形域一般形式和内推形式的波函数计算效率是直接积分的5～6倍,圆形域内推波函数计算效率达到了直接积分的12～13倍。在简支板声源和立方箱体辐射声源数值算例中,圆形域内推波函数在整个计算频段的声场计算精度均高于等效源法。     

如何“写”出平面简谐波的波函数

介绍了大学物理课堂中讲授平面简谐波波函数的一种教学设计,其核心是在课堂教学中归纳总结出平面简谐波波函数的一般形式,为学生提供处理波函数问题的简单方法,该方法只要给定任意点的振动方程及波的传播方向,就可依据一般形式"写"出平面简谐波的波函数.     

Applications of Jacobi Elliptic Function Expansion Method for Nonlinear Differential-Difference Equations

The Jacobi elliptic function expansion method is extended to derive the explicit periodic wave solutions for nonlinear differential-difference equations. Three well-known examples are chosen to illustrate the application of the Jacobi elliptic function expansion method. As a result, three types of periodic wave solutions including Jacobi elliptic sine function, Jacobi elliptic cosine function and the third elliptic function solutions are obtained. It is shown that the shock wave solutions and solitary wave solutions can be obtained at their limit condition.     

On Recent Analytical Results for Solution of the Scattering Problem for the Sharply Screened Coulomb Potential

Exact representations for the wave function and for the Green function of the Hamiltonian with the sharply screened Coulomb potential are given. The representations are obtained by summing up the partial wave series. The final form of the wave function and the Green function in the region of the coordinate space where the potential is not zero are given in terms of the Coulomb wave function and the Coulomb Green function, respectively. The exact representation has been obtained for the transition operator in the configuration space.     

Visualizing quantum phenomena at complex oxide interfaces:An atomic view from scanning transmission electron microscopy

Complex oxide interfaces have been one of the central focuses in condensed matter physics and ma-terial science.Over the past decade,aberration corrected scanning transmission electron microscopy and spectroscopy has proven to be invaluable to visualize and understand the emerging quantum phenomena at an interface.In this paper,we briefly review some recent progress in the utilization of electron microscopy to probe interfaces.Specifically,we discuss several important challenges for electron microscopy to advance our understanding on interface phenomena,from the perspective of variable temperature,magnetism,electron energy loss spectroscopy analysis,electronic symmetry,and defects probing.     

Translationally Invariant Single Particle Picture of the Three-Nucleon System

An ansatz of a single particle picture, known for example from the shell model, has been used to construct a model wave function which is as close as possible to an exact three-body wave function. The exact wave function is obtained by solving the Faddeev equation with the Malfliet–Tjon potential. In order to judge the quality of the model wave function, we compare correlation functions of the model wave function and the exact solution. The correlation functions differ significantly at small distances but are close to each other for larger values of their arguments.     

Wave packet dynamics of the photodetachment of H~- near dielectric surface

<正>The wave packet dynamics of the photodetachment of H~- near dielectric surface are studied by using the wave packet evolution and the autocorrelation function.The results show that the evolutions of the autocorrelation function and the wave packet in the time domain correspond well with each other. Besides,we consider the influence of the electronic state lifetime on the wave packet evolution and the autocorrelation function.Numerical simulation shows that the evolution of the photodetached electronic wave packet near the dielectric surface exhibits some properties similar to the time-resolved two-photon photoemission intensity of surface electron.     

Interference, Reduced Action, and Trajectories

Instead of investigating the interference between two stationary, rectilinear wave functions in a trajectory representation by examining the trajectories of the two rectilinear wave functions individually, we examine a dichromatic wave function that is synthesized from the two interfering wave functions. The physics of interference is contained in the reduced action for the dichromatic wave function. As this reduced action is a generator of the motion for the dichromatic wave function, it determines the dichromatic wave function’s trajectory. The quantum effective mass renders insight into the behavior of the trajectory. The trajectory in turn renders insight into quantum nonlocality.     

Photon wave function formalism for analysis of Mach–Zehnder interferometer and sum-frequency generation

Biakynicki-Birula introduced a photon wave function similar to the matter wave function that satisfies the Schrödinger equation. Its second quantization form can be applied to investigate nonlinear optics at nearly full quantum level. In this paper, we applied the photon wave function formalism to analyze both linear optical processes in the well-known Mach–Zehnder interferometer and nonlinear optical processes for sum-frequency generation in dispersive and lossless medium. Results by photon wave function formalism agree with the well-established Maxwell treatments and existing experimental verifications.