Liouville equation
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美
网络 刘维方程; 刘维尔方程
双语例句
- In this paper, we discuss and replenish Liouville formula of linear differential equation.
对线性微分方程中的刘维尔公式做了适当的补充和讨论。 - The anomalous Langevin equation is proposed as a fundamental equation of statistical physics to replace the Liouville equation.
用刘维空间反常朗之万方程取代刘维方程作为统计物理的基本方程，由此得到了平衡态系综。 - Starting from the Liouville's equation, we have derived an expression for the electrical current and a boltzmann-type equation for diagonal elements of the density matrix in the lowest order of the electron-phonon interaction.
针对低补偿情况，略去复杂能带结构，我们由刘维方程出发，把密度矩阵对电场，然后对电声子作用展开，得到电流表达式及密度矩阵对角元所满足的玻兹曼型方程。 - Applying BBGKY equation obtained from Liouville's equation to a system with many components, the irreversible chemical reaction-diffusion equation can be deduced.
把由刘维方程推得的BBGKY方程用于多元系，可导出不可逆化学反应扩散方程。 - The distributive probability of magnetic field lines in stochastic field region may be obtained by Liouville equation, by which the statistical average of any physical quantity relating to magnetic field can be given.
随机场区的磁力线分布几率可从刘维方程得到，用它可以求任何与磁场有关的物理量的平均。 - Transport process under strong magnetic field and two stationary solutions of the Liouville equation
强磁场下的输运过程与Liouville方程的两种定态解 - In this paper, we analyze the nonlinear response of a three-level A model system, using a perturbation theory based on the Liouville equation. of motion and considering the Lorentz local field effect.
本文中，我们考虑了Lorentz局域场效应的影响，在Liouville运动方程的基础上用微扰理论分析了一个三能级系统的非线性响应。 - The initial water depth, roughness coefficient and channel bottom slope in the equation are taken as random variables, and then the random differential equation is solved numerically with the application of Liouville theorem.
在模型中将初始水深、糙率系数及渠道底坡视为随机变量，采用Liouville定理〔1〕求解相应的微分方程，得到了较好的结果。 - Four Exact Solutions for Liouville Equation in Central Force-field Problems
定态Liouville方程的四类精确解：中心力场问题 - The quantum kinetic equation of Boson gas is derived by means of the Bogoliubov approach and the Wigner distribution function from Liouville Von Neumann equation.
本文从量子统计中最基本的Liouville-vonNeumann方程出发，利用Wigner分布函数与Bogoliubov方法推导了玻色气体的动力学方程，这是一个改进的BUU方程。 - In this paper we obtain a Wigner function for the relativistic fermion in the form of 2 × 2 matrix, and the Liouville equation satisfied by the Wigner function.
本文得到相对论带电费密子的2×2矩阵形式的Wigner函数以及它所满足的Liouville方程。 - The master equations of a reduced system density operator, by means of the Liouville equation and the projection operators techniques have been derived.
在本文中我们利用投影算符技巧通过刘维方程推导了系统约化密度主方程，这种方法特别适合于赝非马尔可夫的库场情况。 - The proposed random model can treat any water quality coefficients, hydraulic parameters and initial conditions in the water quality equations as random variables, and the probability density functions of corresponding random differential equation are obtained by numerically solving Liouville equation.
该模型可将水质方程中的任何水质参数、水力参数、初始条件等视为随机变量，采用Liouville方程计算相应的随机微分方程解过程的联合概率密度函数。 - The relationship between { F-1}-flow, { Fm}-flow of confocal involution system and general Liouville equation are investigated.
共焦对合系的{F-1}流和{Fm}-流在某约束下，联系着一族无穷维可积的广义Liouville发展方程。 - On the Liouville Formulas of Linear Differential Equation
关于线性微分方程的刘维尔公式组 - In this paper, the formula of Liouville is extended to n-th-order linear nonhomogeneous differential equation, and its applications are given.
将Liouville公式推广到n阶线性非齐次方程，并给出了若干应用。 - The Backlund Transformation and Nonlinear Superposition Formula of Solutions for the Liouville's Equation in Higher Dimensions
关于高维Liouville方程的Backlund变换和解的非线性叠加公式 - Liouville Formulas and Their Applicatons for Linear Difference Equation
线性差分方程的Liouville公式及应用 - Lax representations and infinite conservation laws of the Liouville equation
Liouville方程的Lax表述和无穷多守恒律 - Secondly, we introduce the quantum master equation and the particle-number-resolved quantum master equation method of mesoscopic transport in detail based on Liouville equation, and expound the basic thought of the full count statistics theory as well as its application in mesoscopic transport.
接着基于刘维尔方程详细介绍了研究介观输运的量子主方程方法和粒子数分辨的量子主方程方法，并阐述了全计数统计理论的基本思想及其在介观输运中的应用。 - Numerical calculations are performed by solving the quantum Liouville equation based on multilevel Bloch model. The molecular orientation degree is sensitive to the carrier-envelope phase of the THz pulse and the delay time between the two pulses.
通过求解多能级布洛赫模型下的量子刘维尔方程，我们发现：分子定向值对太赫兹脉冲的载波相位和两个脉冲之间的延迟时间很敏感。