非对易克莱因-高登朗道问题的海森伯代数

文中我们在非对易量子力学(NCQM)的框架下讨论了克莱恩-高登朗道问题.分别在非对易空间(NCS)和非对易相空间(NCPS)中给出了海森伯代数和克莱恩-高登朗道能级.     

激光尾场第一周期加速带电粒子模拟

在关于激光尾场加速(LWFA)的很多文献中,都暗示了尾场有周期性结构.可是激光驱动尾场可以不是周期性的,尾场第一周期可以捕获和加速外来电子束.Esirkepov和Bulanov等人提出了带电粒子在激光高斯脉冲驱动尾场第一周期加速的处理方法.本文在此理论基础上进一步讨论电子在尾场第一周期中能获得的最大能量与激光脉冲的强度和脉冲的波长之间的关系.结果显示,捕获电子最大能量与脉冲激光强度成正比.适当的选择脉冲激光波长也直接影响到捕获电子的最大能量值.     

The Aharonov–Casher effect for spin-1 particles in non-commutative quantum mechanics

By using a generalized Bopp’s shift formulation, instead of the star product method, we investigate the Aharonov–Casher (AC) effect for a spin-1 neutral particle in non-commutative (NC) quantum mechanics. After solving the Kemmer equations both on a non-commutative space and a non-commutative phase space, we obtain the corrections to the topological phase of the AC effect for a spin-1 neutral particle both on a NC space and a NC phase space. PACS 02.40.Gh, 11.10.Nx, 03.65.-w     

The He--McKellar--Wilkens effect for spin-1 particles on non-commutative space

By using star product method, the He-McKellar-Wilkens （HMW） effect for spin-one neutral particle on noncommutative （NC） space is studied. After solving the Kemmer-like equations on NC space, we obtain the topological HMW phase on NC space where the additional terms related to the space-space non-commutativity are given explicitly.     

Relativistic Hydrogen-Like Atom on a Noncommutative Phase Space

The energy levels of hydrogen-like atom on a noncommutative phase space were studied in the framework of relativistic quantum mechanics. The leading order corrections to energy levels 2S _1/2, 2P _1/2 and 2P _3/2 were obtained by using the ?? and the \(\bar \theta \) modified Dirac Hamiltonian of hydrogen-like atom on a noncommutative phase space. The degeneracy of the energy levels 2P _1/2 and 2P _3/2 were removed completely by ??-correction. And the \(\bar \theta \)-correction shifts these energy levels.     

Noncommutative Quantum Hall Effect of Bilayer Systems

In this paper we study the bilayer quantum Hall （QH） effect on a noncommutative phase space （NCPS）. By using perturbation theory, we calculate the energy spectrum, eigenfunction, Hall current, and Hall conductivity of the bilayer QH system, and express them in terms of noncommutative parameters θ and θ^-, respectively. In our calculation, we assume that these parameters vary from laver to laver.