Maxwell–Chern–Simons场的Casimir效应

利用约束理论对AbelMaxwell-Chem-Simons场进行路径积分量子化. 并利用复变函数论中Plana求和公式,计算(2+1)维空间中两个平行导线型边界的Casimir效应. 不引任何截断参数,而得出有限的解析表达式.     

有限温度下的Casimir效应

利用路径积分量子化方法,计算出两个平行的、理想的金属板之间,在有限温度下自由的量子电磁场和内部费米子单圈图对Casimir力的贡献.     

二维情况下内部有质量费米子单圈图对Casimir力的贡献

采用Feynman的路径积分量子化方法,计算出两个平行的、理想的金属线之间,在绝对零度下量子电磁场在有质量费米子单圈图近似下的Casimir效应.     

Casimir效应的另一种计算方法

利用Poisson求和公式和简单的正规化手续,给出了Casimir效应的另一种计算方法.     

负折射率材料对Casimir效应的影响

研究了负折射率材料介质板间的Casimir效应.对于负折射率材料中由Drude-Lorentz型色散关系描述的介电常数和磁导率，色散曲线中负值频带的曲线结构由各色散吸收参数所决定，色散曲线负值频带宽度和负区域的深度等性质的变化影响了介质材料板的反射特性，进而对两材料板间的Casimir效应强弱起着重要的作用.     

二维静态时空中Dirac场的重正化能动张量和Casimir效应

在一般渐近平直的二维静态黑洞时空中,利用重正化能动张量的一般性质, 对位于两“平行板”间满足Dirichlet条件的无质量Dirac场的重正化能动张量的真空期待值进行了分析和计算, 得到了一般表达式.利用该表达式可以给出各种具体渐近平直二维静态黑洞时空中的相应Casimir力.对于重正化能动张量及Casimir力与真空态定义(包括Boulware 真空态、Hartle-Hawking真空态和Unrum真空态三种情况)、Hawking辐射和反常迹的关系分别进行了讨论，给出了相应的表达式和计算结果. 关键词： 能动张量 Casimir 效应 黑洞 真空态     

非平行板电容器的电容和电场的计算

本文采用保角变换的方法计算非平行板电容器的电容和场强,本方法与以往所见的方法不同,它简洁、严谨     

利用光晶格自旋链中磁振子的激发模拟有限温度下光子的动力学 Casimir 效应

研究了在静磁场诱导的磁偶极-偶极相互作用和外部激光场诱导产生的偶极-偶极相互作用下光晶格自旋链中磁振子激发的动力学特征. 文中选取了蓝失谐光晶格, 提出了等效温度的概念, 并将系统中磁振子的激发过程与光学振动腔中光子的激发过程进行了类比. 研究表明, 通过选取适当的系统参数, 可以在磁振子系统中重现有限温度下光子的动力学Casimir效应. 关键词： 光晶格 偶极－偶极相互作用 磁振子 Casimir效应     

利用保角变换实现环形光栅的Talbot效应

Talbot效应是一种近场自成像效应,通常只有周期光栅可以产生Talbot效应,而环形光栅无法产生.本文通过引入保角变换,发现可以在环形光栅外部设计适当的折射率渐变层介质,使得其中也能够产生严格的Talbot效应,并计算了对应的自成像半径表达式.本文利用FDTD软件分别将一个环形光栅放置在真空中以及人工设计的折射率渐变层中进行了模拟,并对二者的结果进行了比较分析,发现这种折射率渐变层介质确实对点光源入射的环形光栅的自成像情况有着很好的改善.希望这一工作能够推广Talbot效应的应用范围.     

交换效应对低温~4He能量的影响北大核心CSCD

低温下的~4He系统由于全同粒子交换作用呈现超流等宏观量子效应,交换效应对系统能量的影响尚不明确.本文基于路径积分蒙特卡罗方法计算了不同温度下~4He系统的平均动能以及平均势能.考虑交换效应时,~4He的平均动能增大,但是动能增大幅度不随温度的降低而升高,对关联函数等结构表征几乎不变,势能变化不明显.     

Radiative Corrections to Casimir Force of Maxwell-Chern-Simons Gauge Field

We discuss the two-loop radiative correction to the Casimir force ofMaxwell-Chern-Simons Abelian gaugefield between two parallel ideal conducting wires in terms of Feynman path integral method.     

Maxwell-Chern-Simons Casimir Force in Different Limits

We discuss the Casimir force of Maxwell-Chern-Simons A belian gauge tield in different limits between twoparallel ideal conducting wires by using the Feynman path integral method.     

Maxwell-Chern-Simons Casimir Force in Different Limits

We discuss the Casimir force of Maxwell-Chern-Simons Abelian gauge field in different limits between two parallel ideal conducting wires by using the Feynman path integral method.     

Radiative Corrections to Casimir Force of Maxwell-Chern-Simons Gauge Field

We discuss the two-loop radiative correction to the Casimir force of Maxwell Chern Simons Abelian gauge field between two parallel ideal conducting wires in terms of Feynman path integral method.     

Maxwell-Chern-Simons Casimir Force Between Perfectly Conducting Parallel Lines

Using Feynman path integral method we calculate the Casimir force of Maxwell-Chern-Simons Abelian gauge field between perfectly conducting parallel lines.     

Maxwell-Chern-Simons Casimir Force Between Perfectly Conducting Parallel Lines

Using Feynman path integral method we calculate the Casimir force of Maxwell Chern Simons Abelian gauge field between perfectly conducting parallel lines.``     

Casimir effect for a scalar field via Krein quantization

In this work, we present a rather simple method to study the Casimir effect on a spherical shell for a massless scalar field with Dirichlet boundary condition by applying the indefinite metric field (Krein) quantization technique. In this technique, the field operators are constructed from both negative and positive norm states. Having understood that negative norm states are un-physical, they are only used as a mathematical tool for renormalizing the theory and then one can get rid of them by imposing some proper physical conditions.     

Quantum spring from the Casimir effect

The Casimir effect arises not only in the presence of material boundaries but also in space with nontrivial topology. In this Letter, we choose a topology of the flat (D+1)$(D+1)$-dimensional spacetime, which causes the helix boundary condition for a Hermitian massless scalar field. Especially, Casimir effect for a massless scalar field on the helix boundary condition is investigated in two and three dimensions by using the zeta function techniques. The Casimir force parallel to the axis of the helix behaves very much like the force on a spring that obeys the Hooke's law when the ratio r of the pitch to the circumference of the helix is small, but in this case, the force comes from a quantum effect, so we would like to call it quantum spring. When r is large, this force behaves like the Newton's law of universal gravitation in the leading order. On the other hand, the force perpendicular to the axis decreases monotonously with the increasing of the ratio r. Both forces are attractive and their behaviors are the same in two and three dimensions.     

The Casimir effect for fields with arbitrary spin

The Casimir force arises when a quantum field is confined between objects that apply boundary conditions to it. In a recent paper we used the two-spinor calculus to derive boundary conditions applicable to fields with arbitrary spin in the presence of perfectly reflecting surfaces. Here we use these general boundary conditions to investigate the Casimir force between two parallel perfectly reflecting plates for fields up to spin-2. We use the two-spinor calculus formalism to present a unified calculation of well-known results for spin-1/2 (Dirac) and spin-1 (Maxwell) fields. We then use our unified framework to derive new results for the spin-3/2 and spin-2 fields, which turn out to be the same as those for spin-1/2 and spin-1. This is part of a broader conclusion that there are only two different Casimir forces for perfectly reflecting plates—one associated with fermions and the other with bosons.