高阶微商规范不变系统的整体对称性和量子守恒律

分别从Faddeev–Popov(FP)和Faddeev–Senjanovic(FS)路径积分量子化方法对高阶微商规范不变系统导致的位形空间和相空间生成泛函出发,导出规范系统在量子水平下的守恒律,用于高阶Maxwell非AbelChern–Simons(CS)理论.得到了高阶Maxwell非AbelCS理论与标量场耦合系统的量子BRS守恒荷和量子守恒角动量,无论从位形空间或相空间的生成泛函出发,其结果是相同的.并对CS理论中的分数自旋性质给予了讨论.     

高介微商规范不变系统的整体对称性和量子守恒律

分别从Faddeev-Popov(FP)和Faddeev-Senjanovic（FS）路径积分量子化方法对高阶微商规范不变系统导致的位形空间和相空间生成泛函出发，导出规范系统在量子水平下的守恒律，用于高阶Maxwell非Abel Chern-Simons（CS）理论，得到了高阶Maxwell非AbelCS理论与标量场耦合系统的量子BRS守恒荷和量子守恒角动量，无论从闰形空间或相空间的生成泛函出发，其结果是相同的，并对CS理论中的分数自旋性质给予了讨论。     

含Chern-Simons项的标量电动力学的BFV量子化

应用BFV路径积分量子化方案,给出含Chern-Simons项的标量电动力学的量子化,得到了量子系统守恒的能量、动量和角动量,指出在量子水平上系统具有分数自旋性质.     

规范理论中的量子守恒荷

从Faddeev-Popov(F-P)方法对规范理论导致的位形空间生成泛函出发,导出了规范系统在量子情形下的守恒律,用于非Abel Chern-Simons(CS)理论,得到了CS场与Fermi场耦合系统的量子BRS守恒荷和量子守恒角动量. 对CS理论中的分数目旋性质给予了讨论.     

非定域量子Noether恒等式及应用

基于高阶微商奇异拉氏量系统的相空间生成泛函,导出了定域和非定域变换下的量子正则Noether恒等式;对高阶微商规范不变系统,导出了位形空间中定域和非定域变换下的量子Noether恒等式.指出在某些情形下,由量子Noether恒等式可导致系统的量子守恒律.这种求守恒律的程式与量子Noether(第一)定理不同.用于高阶微商非AbelChern-Simons(CS)理论,求出某些非定域等变换下的量子守恒量.     

含Hopf项和Maxwell-Chern-Simons项O(3)非线性σ模型的分数自旋和分数统计性质

研究了（2＋1）维时空中含Hopf项和Maxwell-Chern-Simons(MCS)项的非线性σ模型的分数自旋性质.根据约束Hamilton系统的Faddeev-Senjanovic(FS)路径积分量子化方案,对该系统进行量子化，由量子Noether定理给出了量子守恒角动量，说明了在量子水平上该系统仍具有分数自旋的性质. 关键词： 约束Hamilton系统 分数自旋 O(3)σ模型     

光孤子约束系统的量子场论

光孤子系统可用奇异Lagrange量描述,系统含Dirac约束.通常按对应原理写出系统对易关系和量子运动方程时,未计及约束.文中对该系统进行严格的Dirac括号量子化,给出了系统的对易关系和量子运动方程,还对系统进行了路径积分量子化,并根据量子水平的Noether定理,导出了系统在时空平移变换不变性下的量子能量和动量守恒.系统还具有相位变换下的不变性,相应导出了系统的粒子数守恒.     

量子水平的Noether恒等式

基于Green函数的相空间生成泛函,导出了定域变换下的量子正则Noether恒等式;对规范不变系统,导出了位形空间中的量子Noether恒等式.指出在某些情形下由量子Noether恒等式可导致系统的量子守恒律,这种求量子守恒律的方法与量子Noether(第一)定理的程式不同.用于非Abel Chern-Simons(CS)理论,求出了BRS和PBRS守恒荷,这两个守恒荷完全不同.     

含Maxwell–Chern–Simons项CP1非线性σ模型的分数自旋和分数统计性质

在(2+1)维时空中研究了含Maxwell-Chern-Simons(MCS)项的CP¹非线性σ模型的量子对称性质.取库仑规范,用Faddeev-Senjanovic路径积分量子化方案对该系统进行量子化.根据约束Hamilton系统的量子对称性质,在量子水平上得到了系统分数自旋性质     

非定域变换的广义Ward恒等式

基于高阶微商奇异拉氏量系统相空间Green函数的生成泛函,导出了该系统在定域和非定域变换下的广义正则Ward恒等式.对规范不变系统,从位形空间生成泛函出发,导出了该系统在定域、非定域和整体变换下的广义Ward恒等式.用于高阶微商非Abel(Chern-Simons CS)理论,无需作出生成泛函中对正则动量的路径积分,即可导出正规顶角的某些关系.此外还给出了BRS变换下的Ward-Takahashi恒等式.     

量子化电磁场在色散吸收有限介质中的传播

通过量子化吸收和色散介质中的电磁场,研究线极化波垂直入射至吸收和色散介质界面处的反射和折射行为,给出介质界面处光的正则量子理论.     

Transverse Motion of Energy on Reflection and Refraction of Electromagnetic Waves

The equation of motion of the centre of energy of the reflected and refracted electromagnetic waves on the interface of dielectric media is obtained, it is shown that the physical reason leading to the transverse shift (TS) is the spin-momentum coupling of the electromagnetic waves near the interface.     

Surface electromagnetic waves on magnetic media

We assume complex magnetic and dielectric properties of two adjacent, isotropic, semi-infinite media and examine surface electromagnetic waves (SEW) at their plane interface. The dispersion curves and non-radiative conditions are derived and compared with other results. Comments are made about which materials will allow surface electromagnetic waves. The importances of the dielectric constants of the sample and the overlayer materials are emphasized with an example, Si and NiO.     

Van der Waals force derived from a quantum statistical mechanical path integral method

The main purpose of this paper is to apply the quantum statistical mechanical model for polarizable fluids, used by Høye-Stell and others, to the calculation of the van der Waals force (dispersion force) between monatomics. The results are in agreement with those obtained by quantum perturbation theory. The quantum statistical method implies considerable formal simplifications.The introductory sections of the paper show, for illustrative purposes, how the dispersion forces in limiting cases also can be obtained from macroscopic quantum electromagnetic theory when two dilute dielectric media with plane-parallel surfaces are separated by a vacuum (Casimir effect).     

On generation of electromagnetic waves in the terahertz frequency range in a multilayered open dielectric waveguide

We show that it is possible to produce terahertz wave generation in an open waveguide, which includes a multilayer dielectric plate. The plate consists of two dielectric layers with a corrugated interface. Electrons, drifting in the potential well, interact with the non-uniform electric field which is induced near the dielectric interface by the natural wave of the waveguide. The corrugated period and parameters of the electronic system are chosen in order to ensure the most effective interaction of electrons with a wave. Generation of electromagnetic waves is achieved by converting the electrons? energy into the electromagnetic wave energy.     

Quantum Mechanical Model Calculations of Phonon Polaritons in Two-Dimensional Crystals

The properties of the simplest phonon-polaritons exist in a two-dimensional diatomic ionic or polar dielectric are investigated by the quantum field theory methods. We considered the two-dimensional crystal as a simple model of a thin slab, an interface or a heterojunction. The Hamiltonian operator describing the interaction between a photon and the phonon mode of the two-dimensional medium is calculated. Anharmonic effects are neglected. The dispersion curves of the phonon-polaritons and the k‖-dependence of the electric field strength in each polaAton branch are calculated and presented for various cases in a graphical form. It is shown that these properties have close relations with the distributidn of the electromagnetic field in the z direction.     

Refraction of a surface polariton by an interface

We have calculated the transmission and reflection coefficients for a surface polariton that is incident normally on the interface between two different surface active dielectric media characterized by real, scalar, frequency dependent dielectric functions. Numerical solutions are obtained by matching the boundary conditions for the electromagnetic fields at the interface between the media and between each medium and the vacuum above it. The energy carried away by the vacuum modes is also calculated.     

Electromagnetic waves and oscillations in the layered semiconductor-dielectric-semiconductor structure

Theoretical and numerical studies of the electromagnetic properties of the layered semiconductor — dielectric — semiconductor (SDS) structure was carried out. It was shown that the weak damping guide and surface waves may exist in this structure and retardation of surface waves may be several times more than for the semiconductor — dielectric (SD) interface. If this structure contains reflections it leads to the formation of high Q-factor resonance oscillations. It was found that at the beginning of intermode coupling of two surface oscillations in the studied resonance structure, hybrid surface oscillations with near resonance frequencies are formed. Their electromagnetic field components along the wave propagation direction are orthogonal to each other and modulated along the SD interface by orthogonal envelopes.