速度算符和电子的颤动

指出了国外某些量子力学教材中关于速度算符的概念错误和相对论自由电子进行颤动的错误,分析了错误的原因.     

几类粒子密度算符和粒子流密度算符的讨论

从粒子密度和粒子流密度出发,分析了几类相关的算符,讨论了它们的性质与相互关系;从具体的物理意义出发,明确了合适的粒子密度算符和粒子流密度算符的表达形式.     

光场位相算符和逆算符的Weyl编序展开

用有序算符内的积分技术, 推导了光场位相算符和逆算符的Weyl编序展开形式, 并利用该结果获得了相算符的经典对应以及某些新的特殊函数的生成函数和新的积分公式, 尤其是导出了带负次幂的复高斯积分的积分公式. 关键词： Weyl编序 位相算符 有序算符内的积分     

谐振子产生算符和湮没算符的逆算符

本引入谐振子产生算符和湮没算符的逆算符，导出它们在Ｆｏｃｋ空间的表达式，并给出了一些简单应用。     

也谈概率密度和概率流密度算符

针对<大学物理>2008年第8期上关于粒子概率密度算符和概率流密度算符的讨论一文进行了补充,对一般空间(如动量空间)中的概率和概率流进行了较系统的阐述,并纠正了该文中的有关错误论断.     

谐振子任意次幂动量算符矩阵元的计算

本文利用一维谐振子的升降算符合出了计算动量算任意次幂Ｐ＾ｋ的矩阵元及平均值通式，并建立了与坐标算符矩阵元的转换关系。     

对动量算符的讨论

既肯定Ｐ＝－ｉｈ△↓在任何坐标系中都是动量算符矢量,又否定它在曲线坐标系中的分量是动量分量的算符,作出这种判断不是出于主观认识,而是源于量子理论本身,分别在非相对论和相对论两种情形下导出了曲线坐标系中动量分量的算符,表明造成两者之间差别的原因是粒子的自旋。．     

以HGTF为基函数的单电子算符积分

使用HGTF作为基函数,导出了单电子电场积分,单电子电场梯度积分等单电子算符积分的解析表示式。     

Damping of electron Zitterbewegung in carbon nanotubes

Zitterbewegung (ZB, trembling motion) of electrons in semiconductor carbon nanotubes is described taking into account dephasing processes. The density matrix formalism is used for the theory. Differences between decay of ZB oscillations due to electron localization and that due to dephasing are discussed.     

Zitterbewegung in Bogoliubov's System

We show that Bogoliubov's quasiparticle in superfluid 3He-B undergoes the Zitterbewegung, as a free relativistic Dirac's electron does. The expectation value of position, as well as spin, of the quasiparticle is obtained and compared with that of the Dirac's electron. In particular, the Zitterbewegung of Bogoliubov's quasiparticle has a frequency approximately 105 lower than that of an electron, rendering a more promising experimental observation.     

Revisiting Zitterbewegung

The Dirac wave equation for the electron soon lead to the recognition of the Zitterbewegung. This was studied both by Schrodinger and Dirac. Later there were further elegant and sometimes dissenting insights, from different authors. We briefly review some of these developments. However in more recent times with dark energy and noncommutative spacetime coming to centre stage, the earlier studies of Zitterbewegung become questionable.     

Zitterbewegung and gravitational Berry phase

Berry phases mix states of positive and negative energy in the propagation of fermions and bosons in external gravitational and electromagnetic fields and generate Zitterbewegung oscillations. The results are valid in any reference frame and to any order of approximation in the metric deviation.     

Velocity modulation of electron transport through a ferromagnetic silicene junction

We address velocity-modulation control of electron wave propagation in a normal/ferromagnetic/normal silicene junc tion with local variation of Fermi velocity, where the properties of charge, valley, and spin transport through the junction ar investigated. By matching the wavefunctions at the normal-ferromagnetic interfaces, it is demonstrated that the variation of Fermi velocity in a small range can largely enhance the total conductance while keeping the current nearly fully valley and spin-polarized. Further, the variation of Fermi velocity in ferromagnetic silicene has significant influence on the valley and spin polarization, especially in the low-energy regime. It may drastically reduce the high polarizations, which can b realized by adjusting the local application of a gate voltage and exchange field on the junction.     

Confinement and Zitterbewegung in a spin-orbit-coupled Bose-Einstein condensate with a spatially localized Raman coupling

Artificial spin-orbit coupling has been successfully implemented in many atomic experiments by so-called Raman addressing, and various interesting phenomena have already been investigated in such spin-orbit-coupled atomic systems. In this paper, we study spin-orbit-coupled Bose-Einstein condensates addressed by spatially localized Raman lasers. The localized Raman coupling effectively generates a spatial inhomogeneous spin-orbit coupling. The ground states of this system are spatially confined into the localization region. We excite Zitterbewegung dynamics by an experimentally realizable quench. By making advantage of Zitterbewegung, we propose to implement an atomic device to control over atoms.     

Revivals of Zitterbewegung in the Bernevig Hughes Zhang model in the quantum spin Hall regime with a laser pulse

We theoretically investigate the Zitterbewegung （ZB） behavior of electrons in the Bernevig-Hughes-Zhang model with a short laser pulse. To obtain a steady picture, we fix the electron on the Landau levels with a magnetic field. The ZB motion and the electromagnetic radiations in the quantum spin Hall regime are given. We find that over a shorter time, the electromagnetic radiations show a quasi-classical cyclotron oscillation, while over a longer time, they exhibit a clear revival picture. The resulting revival time and excited electric field are large enough to make experimental detection accessible.     

Ultrarelativistic electron optics in a weak magnetic field

Within an unprecedented analytical formulation, we find an approximate relationship for the ultrarelativistic velocity of electrons in the presence of a weak, time-independent and uniform magnetic field acting perpendicularly to the trajectory of the electrons. We also determine the corresponding velocity quantum operator whose eigenvalues are also determined as well as their corresponding Landau states. In addition, the corresponding synchrotron radiation losses are calculated.