eigenstates
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As advantage of this method, at the same time of diagonalization, one can know the algebraic structure in the Hamiltonian and get the eigenstates that are revealed to be an algebraic coherent state as well as some other possible information of the corresponding physical system.
这种方法的优点是,在用代数法将哈密顿量对角化的同时,不但得出了该系统哈密顿量的代数形式,并且可以得知对应的本征态与代数相干态的关系及对应的物理系统的其他物理信息。
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According to that the eigenstates of applied quantum systems, are with discrete or continuous spectrum construction, quantum information is divided into two types of discrete variables and continuous variables. They have different features and application potentials. Both of them are parallelly developing.
量子信息科学根据所利用的量子变量的本征态具有分离谱或是连续谱结构区分为分离变量与连续变量两大类,连续变量和分离变量量子信息有着不同的特点与应用前景,各具特色,目前正在平行发展。
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We employ a simple method to solve the integral equation for the energy eigenstates of the linear harmonic oscillator.
吾人采用一简单方法,以解量子力学简谐振荡器之能量固有态的积分方程式。
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The unitary matrix was constructed by using eigenstates of the controlled quantum system so as to perform a coordinate rotation on the controlled system.
在量子系统中利用被控系统的本征值,构造用来进行坐标旋转的幺正矩阵。
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These results include expectation values for position, momentum and their square, the uncertainty relation in the eigenstates, etc.
由于位置矩阵元的结果较复杂,我们借助海森堡对应原理对半空间谐振子的位置矩阵元及其平方的矩阵元给出了很好的近似表达式。
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