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linear quantum
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  线性量子
     The Double Wave Description and the Dynamics Description of Probability Fluid to Hamilton Quantity with Time Linear Quantum System
     哈密顿量含时线性量子系统的双波描述与概率流体的动力学描述
短句来源
     For linear quantum systems,our new phase becomes a statistical average of the Berry phases for all eigenstates involved.
     在线性量子系统中,新定义的几何相位是各个本征态Berry相位的权重平均.
短句来源
     The energy eigenvalue,eigenfunction,matrix elements of coordinate and momentum operators in energy representation,and evolution operator for a two-dimentional coupled oscillator are presented by using the general linear quantum transformation theory.
     运用广义线性量子变换理论,给出一类二维耦合量子谐振子的能量本征值、本征函数、坐标和动量算符在能量表象中的矩阵元及演化算符.
短句来源
     Based on the generalized linear quantum transformation theory,we present a new method to solve the time-dependent quantum oscillator,and give the formulae to exactly determine the evolution operator,evolution matrix element and wave function.
     在广义线性量子变换理论基础上 ,提出了一种求解含时量子振子的新方法 ,给出了严格确定演化算符、演化矩阵元和波函数的公式
短句来源
     The double wave function quantum theory is applied to describing the Hamilton quantity with time linear quantum system and it is pointed out that the traditional quantum mechanics to describe this quantum system is the statistics of the double wave theory. The statistics is done in the even ensemble of taking the average from the constant phase factor.
     应用双波函数量子理论描述哈密顿量含时线性量子系统 ,指出传统量子力学对这一量子系统的描述是双波理论描述的统计情况 ,并且是在对常相位因子取平均的均匀系综中进行的 .
短句来源
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  非线性量子
     Routinized calculation of highly vibrational energy spectra of polyatomic molecules with non linear quantum theory
     多原子分子高激发振动能谱的非线性量子理论计算的程序化
短句来源
     IMPROVEMENTS ON THE PERTURBED HARMONIC OSCILLATOR LADDER OPERATORS METHOD IN THE NON LINEAR QUANTUM FIELD THEORY AND THE LASER THEORY
     对非线性量子场论与激光理论中的微扰谐振梯度算子方法的改进
短句来源
     This new phase applies to both linear quantum systems and nonlinear quantum systems,and should be particularly useful for the latter for which the adiabatic evolution of a general quantum state cannot be described in terms of a superposition of eigenstates.
     这个新的几何相位同时适用于线性量子系统和非线性量子系统. 它对于后者尤其重要因为非线性量子系统的绝热演化不能通过本征态的线性叠加来描述.
短句来源
  “linear quantum”译为未确定词的双语例句
     Theory of linear quantum transformation and its application
     量子变换理论及其应用概述
短句来源
     Dynamic Properties of Microscopic Particles Acted by the Non linear Interaction and Non linear Quantum Mechanical Theory
     受非线性作用的微观粒子的运动特性及其非线性量子力学理论(Ⅰ)
短句来源
     Linear Quantum Codes Constructed from Quaternary Cyclic Codes
     用四元循环码构造的线性量子码
短句来源
     Utilizing the General Linear Quantum Theroy to Solve the Two-dimensional Coupled Quantum Harmonic Oscillator
     应用广义量子线性变换理论求解二维耦合量子谐振子
短句来源
     In this paper, by using the linear quantum transformation theory to spin operator, we offer an effective method to study the quantum logic gates based on spin - 1/2 states. The forms of some basic quantum logic operations are also obtained.
     作者利用对自旋算符的量子线性变换理论,提供了一种考察自旋1/2态下量子逻辑门变换的一种有效方法,并给出了几个基本量子逻辑操作的变换表达式。
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  linear quantum
The matrix of dispersions and covariances of the coordinates and momenta is found explicitly with the help of the method of the linear quantum integrals of motion.
      
When static correlations are neglected, this Enskog equation reduces to the inhomogeneous linear quantum Boltzmann equation (containing an exchange-modifiedt-matrix).
      
To this end we introduce the quantum dissipative Villain model (QDVM), which models tunneling of a degree of freedom coupled to a linear quantum environment through an infinite set of states.
      
The "uuud" state shows a very flat spin-wave dispersion, which suggests that this state, though locally stable, will not survive non-linear quantum effects.
      
The ground state energyE of a linear quantum crystal can be calculated exactly by the transfer integral method, if the total wave function is assumed to be a product of single-particle functions ? and Jastrow factorsf between nearest neighbors only.
      
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In this paper, the quantum energy levels and the level splitting of the firstand the second excited states generated by the stretching vibration of CH and CD bondsin normal benzene C6H6 (vapour and liquid) and deuterated benzene C6D6 (vapour andliquid) haye been studied in detail by new non-linear quantum mechanical theory in weakdisperse limit. The distribution of energy levels of benzene molecules has been also obtained, and is consistent with experimental data.

用最近发展起来的非线性量子力学的定态本征方程的理论去计算蒸气和液体的苯(C6H6)和重苯(C6D6)的CH和CD键的振动所产生的量子能态。同时用非线性简并微扰理论计算了在弱色散极限下苯的稳定态的能态劈裂,得到较为满意的结果.

The changes of properties and natures of microscopic paticles to be acted by non linear interactions or in the non lineaar fields are studied,as compared with one described by linear quantum mechanics.The results studied show that the inherent natures of microscopic particles in the non linear fields are completely different from one in linear fields,in the fore an elementary distinction is that the microscopic particles have evidently localized...

The changes of properties and natures of microscopic paticles to be acted by non linear interactions or in the non lineaar fields are studied,as compared with one described by linear quantum mechanics.The results studied show that the inherent natures of microscopic particles in the non linear fields are completely different from one in linear fields,in the fore an elementary distinction is that the microscopic particles have evidently localized feature,its position and momentum can be determinated simaltaneously,and their motion obeys the classical law,but they have also wave corpuscle double properties.These results obtained necessitate us to establish,of necessity,a new theory of motion of microscopic particals in the non linear fields.Thus the essences and properties of macroscopic quantum effects are studied again,which are obviously different from microscopic quanturm effects described by linear quantum mechanics,and, its relationship with non linear interaction and soliton motion is studied,too.Combined with modern Soliton theory and superconductivity and superfliedity theories,first of all,basic principles and theory of non linear quantum mechanics are introduced,namely,the state of particle in non linear quantum mechanics is described by a wave function concerning the non linear feature;the wave function satisfies generalizing non linear Schrodinger equations in non relativity case or non linear Klein Gordon equations in relativity case.Based on the principles and theory,the theoretical systems of non linear quantum mechanics are established integally and completely and a lot of new results are obtained.Finally the validity and self consistency and application regions of the non linear quantum mechanics are proved. This theory has advanced the development of quantum mechamics from linear region to non linear region,which could solve the serious difficulties and problems of the linear quantum mechanics.And this is a great development and progress of physics.

与线性场的情况相比,微观粒子在非线性作用下的运动特性和本性发生很大变化,这说明在线性作用和非线性场中微观粒子的性质是明显不同的.这启示我们必须建立微观粒子在非线性体系或非线性场中运动规律的新理论.为此研究了与线性量子力学描写的微观量子效应迥然不同的宏观量子效应与非线性作用下的孤立子运动的紧密关系.结合现代孤立子理论和超导与超流理论,首先提出了非线性量子力学的基本原理及在此基础上建立了系统、完整的非线性量子力学理论体系,以及由此理论得出的一些新结论.最后还论证这个理论的正确性和自洽性,理论的运用范围及它的重大意义.

A three-parameter dynamical model in non-linear quantum theory-the quantized discrete self-trapping equation-has been presented to calculate the stretching spectrum of PH bonds of phosphine at high-energy vibrational states until total vibrational quantum number n=7.The model calculations,which agree well with the experimental data and predict the centres of some overtone and combination bands with many excited quanta,show that PH 3 molecule has a remarkable local mode vibrational behaviour.

利用非线性量子理论中的一个三参数模型-量子化的离散自陷方程-对PH3分子处于高能振动态下的PH键的伸缩振动能谱进行了理论计算(1≤n≤7,n为PH3分子的总振动量子数),获得了与实测谱数据符合较好的结果(其均方根RMS偏差约为3.88cm-1),预测了一些泛频和组频谱带的中心位置,并将振动能级按对称性进行了归类。在计算过程中,模型Hamilton算符H中所包含的描述PH键非谐振动的参数λ和描述PH键之间的偶极-偶极相互作用的参数ε由实测谱数据拟合出,波函数|Ψn>按形式为|n,α>=|n1>n2>|n3>的基函数集展开(其中,n=n1+n2+n3,α=1,2,…,c(n),c(n)为所有可能的基函数的个数),从而把复杂的Hamiton本征方程转化为简单的矩阵代数方程。计算结果显示,PH3分子具有显著的局域振动行为,其振动能谱的分布具有局域对的结构;在较低的能态下(n=3),能级的局域简并现象就会出现,从而可以认为|n00>(n≥3)是具有较长寿命的振动态。

 
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