| 1. | When the density matrix of the whole ensemble consisted of system - meter is reduced to the microscopic physical system , the system trend quantum decoherence in nature
把由系统与仪器组成的系综的密度矩阵约化到被测系统部分，于是自然趋近量子退相干。 |
| 2. | The model has been generalized to the condition with dissipation , which is an effective work of mine , and the evolution equation of the density operator is present
此外，我的一个有效工作是还把该模型推广到有环境耗散情形，引入系统密度矩阵的演化动力学方程。 |
| 3. | As the representation of the electron spin angular momentum is two - dimensional or three - dimensional , the electron energy is calculated simplier by the theory of density matrix and average value
当电子在磁场中的自旋角动量的表示为二维和三维时，应用密度矩阵原理求解其能量更为简便。 |
| 4. | In chapter 2 , we use an open v - type three - level system model with incoherent pump put forward by yelin , and give a universal nonlinear analytical solution of the steady state by density - matrix equations of motion
第二章中我们使用了yelin等提出的具有非相干泵浦的开放v型三能级系统模型，通过密度矩阵运动方程给出了该系统的定态非线性解析解的普遍表达式。 |
| 5. | ( 3 ) for classification of states , a scheme has been proposed , in which we can translate any three - particle matrix into the special form p3 by random local unitary transform , and make use of this special state p3 to classify quantum state
( 3 )对于量子态的分类问题曾有人提出通过随机局域幺正变换把任意三粒子量子态密度矩阵转化为一种特殊的密度矩阵_ 3的形式，并利用_ 3这一特殊形式对三粒子量子态进行分类。 |
| 6. | After studying the relation of distributive function and density matrix , the electron energy is calculated in magnetic field according to the distributive function in the thermodynamic statistical physics and the density matrix average value principle in the quantum mechanics , respectively
摘要研究正则系综中的配分函数与密度矩阵的关系，分别采用热力学统计物理中的配分函数和量子力学中的密度矩阵与平均值原理，计算电子在磁场中的能量。 |
| 7. | Making use of the wigner transform of the one - body density matrix , the coherent density fluctuation model ( cdfm ) is introduced into semiclassical distorted wave ( scdw ) model . the new model is applied to the analyses of multistep direct processes of ( p , p ' x ) reactions to continuum
本文利用单体密度矩阵的wigner变换，将相干密度涨落模型( cdfm )引入半经典扭曲波( scdw )模型，并将新的scdw模型应用于分析预平衡反应( p ， p ' x )中散射到连续态的多步直接过程。 |
| 8. | This dissertation proves that formation of entanglement is smaller than mutual information . as a by - product , this dissertation also proves that there does not exist this kind of quantum state whose nearest separable state is the product of its two reduced density matrices except the state whose classical correlation is zero
证明了结构纠缠小于互信息，同时证明了对于任意的量子态(除了经典关联为0的态) ，它的两个约化密度矩阵的直积不可能为它的最近分离态。 |
| 9. | Based on the propagation law of the cross - spectral density function in the space - frequency domain , the properties of polychromatic vector gsm beams through a paraxial optical abcd system are studied . the analytical propagation expressions for the cross - spectral density matrix of vector gsm beams passing through a paraxial optical abcd system are derived , which permits us to study the propagation properties of vector gsm beams , including the propagation - induced polarization changes , effect of the spectrum bandwidth and irradiance distributions in a unique way . there are some applications of the theoretical results
基于空间一频率域中交叉谱密度函数的传输理论，研究了多色矢量gsm光束通过abcd光学系统传输时偏振特性的变化规律，首次推出了矢量高斯一谢尔模刑fgsm )光束通过近轴abcd光学系统交叉谱密度矩阵的传输公式，并对矢量gsm光束传输中偏振的变化、谱宽的影响和强度的分布等进行了统一研究。 |
| 10. | It is just the difficulty that the strongly correlated electron systems can not be studied by analytical methods , a variety of simulative numerical methods come out sequentially . there are a few typical methods such as the exact diagonalization ( ed ) , the qutum monte carlo ( qmc ) , the variation monte carlo ( qmc ) , the renormalization group ( rg ) , and the density matrix renormalization group ( dmrg ) and so on
正是强关联系统遇到了解析研究的困难，各种数值模拟方法才相继出现，最典型的数值方法有：严格对角化( ed ) ，量子蒙特卡洛( qmc )模拟、变分蒙特卡洛模拟( vmc ) 、数值重整化群( rg )以及密度矩阵重整化群( dmrg )等。 |
