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We introduce a new kind of four-mode continuous variable entangledstate in Fock space. The completeness relation and the partlynonorthonormal property of such a state are proven. The scheme togenerate this state is presented by combining a symmetricalbeamsplitter, a parametric down-conversion and a polarizer. Aftermaking a single-mode quadrature amplitude measurement, the remainingthree modes are kept in entanglement. And its applications are alsodiscussed. 相似文献
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利用杨辉三角形对称性推导高阶运动微分方程 总被引:1,自引:0,他引:1
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 相似文献
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The nonclassicality of the two-variable Hermite polynomial state is investigated. It is found that the two-variable Hermite polynomial state can be considered as a two-mode photon subtracted squeezed vacuum state. A compact expression for the Wigner function is also derived analytically by using the Weyl-ordered operator invariance under similar transformations. Especially, the nonclassicality is discussed in terms of the negativity of the Wigner function. Then violations of Bell’s inequality for the two-variable Hermite polynomial state are studied. 相似文献
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从牛顿运动方程出发,推导了完整系统关于广义加速度的Lagrange方程.讨论了该方程与传统分析力学中的Lagrange方程的相容性问题.结果显示,三阶Lagrange方程可以通过对Lagrange方程求一阶时间导数得到,表明它们是相容的.因此三阶Lagrange方程提供了一种不同于传统Lagrange方程方法的求解物体运动方程的途径. 相似文献
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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. 相似文献