Establishing path integral in the entangled state representation for Hamiltonians in quantum optics

Based on two mutually conjugate entangled state representations, we establish the path integral formalism for some Hamiltonians of quantum optics in entangled state representations. The Wigner operator in the entangled state representation is presented. Its advantages are explained.     

在美术学习中感受美术

本文针对美术学科的特点既美术是艺术学科有着独特的性格,同时美术是人文学科又有其特殊性,教师是学生学习的主导,应针对美术的这些特点通过创设情境、探究释疑、表现发挥、讲评拓展四个反面对学生进行引导。让学生在美术学习的过程中感受美术。     

Investigating mesoscopic circuits with entangled state representations

By employing the continuous parameter entangled state representations, we investigate the energy level and the wave function for a capacitively and mutual-inductively coupled LC mesoscopic circuit. It is found that investigating the meso- scopic circuit in such representations can bring us the following conveniences. Firstly, the dynamical equation is naturally transformed into a single-variable differential equation. Secondly, the center-of-mass kinetic energy is included in the energy level of the system. Thus it is instructive to introduce the entangled state representation into the investigation of mesoscopic circuits.     

圆形载流导线的磁场

给出了圆形载流导线产生的矢势，并利用磁感应强度与矢势的关系导出了此导线在空间任意点的磁场．     

匀质薄圆盘引力势的计算与讨论

利用Taylor级数展开的惟一性给出满足Laplace方程的细圆环的引力势u，再根据引力势的叠加原理直接导出匀质薄圆盘产生的引力势．     

Nonclassicality of photon-modulated spin coherent states in the Holstein—Primakoff realization

Two new photon-modulated spin coherent states (SCSs) are introduced by operating the spin ladder operators J_± on the ordinary SCS in the Holstein-Primakoff realization and the nonclassicality is exhibited via their photon number distribution, second-order correlation function, photocount distribution and negativity of Wigner distribution. Analytical results show that the photocount distribution is a Bernoulli distribution and the Wigner functions are only associated with two-variable Hermite polynomials. Compared with the ordinary SCS, the photon-modulated SCSs exhibit more stronger nonclassicality in certain regions of the photon modulated number k and spin number j, which means that the nonclassicality can be enhanced by selecting suitable parameters.     

Kraus operator solutions to a fermionic master equation describing a thermal bath and their matrix representation

We solve the fermionic master equation for a thermal bath to obtain its explicit Kraus operator solutions via the fermionic state approach. The normalization condition of the Kraus operators is proved. The matrix representation for these solutions is obtained, which is incongruous with the result in the book completed by Nielsen and Chuang [Quantum Computation and Quantum Information, Cambridge University Press, 2000]. As especial cases, we also present the Kraus operator solutions to master equations for describing the amplitude-decay model and the diffusion process at finite temperature.     

Investigating mesoscopic circuits with the entangled state representations

By employing the continuous parameter entangled state representations, we investigate the energy level and the wave function for a capacitively and mutual-inductively coupled LC mesoscopic circuit. It is found that investigating the mesoscopic circuit in such representations can bring us the following conveniences. Firstly, the dynamical equation is naturally transformed into a single-variable differential equation. Secondly, the center-of-mass kinetic energy is included in the energy level of the system. Thus it is instructive to introduce the entangled state representation into the investigation of mesoscopic circuits.     

气压对于低气压双频容性耦合Ar/O2 等离子体放电特性影响的研究

 研究了气压对双射频氩氧混合等离子体电子温度和电子密度的影响。在13.56MHz低频功率和94.92MHz高频功率固定为60W和氩氧气体比为1:9的情况下,利用发射光谱法分析了气压不同时氩氧混合等离子体的放电光谱中的特征谱线的变化规律。使用一维质点网格法(PIC-MC)静电模型计算了电子温度和电子密度。结果表明：电子温度随着气压的增加先降低后升高,与实验结果趋势相吻合;电子密度随着气压的增加先增大后减小。     

汽车换档规律及其应用

依据汽车换档规律研制的汽车换档指示器,可以提供合理档位、换档时机和最佳车速等操作信息。它明显地促进了汽车驾驶技术水平的提高,并可以获得10％左右的节油效果。