Four-mode continuous-variables entangled state: generation from beam splitter, a parametric down-conversion and a polarizer

We introduce a new kind of four-mode continuous variable entangled state in Fock space.The completeness relation and the partly nonorthonormal property of such a state are proven.The scheme to generate this state is presented by combining a symmetrical beamsplitter,a parametric down-conversion and a polarizer.After making a single-mode quadrature amplitude measurement,the remaining three modes are kept in entanglement.And its applications are also discussed.     

利用杨辉三角形对称性推导高阶运动微分方程

利用Mathematica数学软件计算函数r=r(q(t),t)各变量之间偏导和高阶导数的关系，发现具有杨辉三角形对称性.结合杨辉三角形的对称性规律和牛顿第二定律推导出了高阶运动微分方程，并讨论了理想约束系统下的高阶运动微分方程. 关键词： 杨辉三角形 牛顿第二定律 高阶运动微分方程 高阶力变率 高阶速度能量 理想约束     

角急动度与单摆的受迫振动

本文用四维相空间和四阶自洽常微分方程描写了单摆的受迫振动．     

跟踪碰撞的图形描述

借碰撞的图形描述法,澄清了碰撞分类中的一些相关问题。     

双模压缩热态经过分束器前后的纠缠变化

本文采用对数负值来度量双模压缩热态通过分束器前后的纠缠属性的变化情况。结果表明,当输入对称双模压缩热态,无论如何调整分束器的相关参数,纠缠不会发生变化;而对于非对称双模压缩热态,在适当选择的分束器参数范围内,纠缠可能会发生变化。     

New Poisson Sum Formula Derived by Squeezing Transformation in Quantum Optics

Using squeezing transform in the context of quantum optics and based on the Fourier series expansion we rigorously derive a new Poisson sum formula. Application of this new formula to the representation transformation of kq-wave function for describing electrons in periodic lattice is demonstrated. In so doing, the transition matrix element of harmonic oscillator in kq representation is derived.     

Optical Four-Wave Mixing Operator, Fresnel Operators and Three-Mode Entangled State Representation

We analyse the optical four-wave mixing operator S and relate it to the two-mode Fresnel operator. It is shown that the direct product of the two-mode Fresnel operator and the single-mode Fresnel operator has a natural representation on the basis of a three-mode entangled state, which is constructed by S and a beam splitter transform.     

从传统牛顿力学到当今猝变动力学

引入急动度和猝变动力学等新概念,用以充实大学物理教学内容,是一种正在形成的趋势.本文提供了一个关于猝变动力学新概念教学的初步框架.     

急动度概念在混沌理论中的新应用

 在物理学术语中,急动度(jerk)是最丑陋的单词之一,斯勒格(slug)和磅达(pounda)(分别为质量和力的单位)等一样丑陋的单词,已被废弃了。其他的,包括不恰当的新词,如超电子(selectron)、胶微子(gluino)和W微子(wino)等一些猜测中的、至今未发现的基本粒子,或许不会变成常用词汇。但是急动度既未被废弃,又不是假想的词汇,很早以前就已用于科学领域。而且目前这一概念已经与理论物理的一些热点问题联系起来。假如因为名称古怪而遭废弃,那将是一件憾事。