查询词典 Schrodinger

Amukhin et al.,and convert it into an effective1D chain with particular distribution of equivalent coupling bonds.Then we use the single-electron Schrodinger equation to calculatewave functions of electrons in the chain by transfer matrix method,without using the assumption of Samukhin et al.On variable hoppingmechanism and critical percolation condition.From this calculationwe obtain the dc conductance directly from Landauer-Buttikarformula.

mukhin提出的多层次等级分形结构模型，将其简化为耦合键强度t具有特殊分布的等效一维链，舍弃前人假设的变程跳跃机制与临界渗流条件，从单电子薛定谔方程出发，用转移矩阵方法计算一维链的透射系数，再利用Landauer-Buttickar公式直接求出直流电导。

It shows that a remarkable advantage of the symplectic methods applied to the Schrodinger equation is the precise preservation of charge conservation law. In order to study the numerical stability, we also adopt the different time step sizes.

为了比较，我们还给出了同阶的非辛算法的数值模拟，从而得到辛摄动配置算法和其在理论上等价的辛龙格-库塔方法在数值上的等效性以及辛算法在数值计算中的优越性。

In this paper, we mainly discuss the perturbed collocation method. We apply the method to the Schrodinger equation which is a very importent model in quantum mechanics.

本文对摄动配置算法进行了一定的研究，并将其应用到含时薛定谔方程这一极其重要的量子力学模型。

By solving the Schrodinger equation and using the boundary conditions of delta function, We can get the Buttiker scattering Matrix.

通过解薛定谔方程求得自旋空间的波函数，再由边界条件确定波函数的振幅，进而求出散射矩阵。

His main research direction is System of Hamiltonian, Table of Operator of Schrodinger, Differential operator and Small Wave Theory.

主要研究方向：Hamiltonian系统，Schrodinger算子的谱，微分算子、小波理论。

In this paper we review some recent progress on the nucleation of zeros and the structure of the nodal sets of the complex-valued solutions of Ginzburg-Landau system for superconductivity and of more general partial differential equations with magnetic Schrodinger operator.

本文考察了近年来对超导的Ginzburg-Landau方程复值解的零点的产生与零点集的结构的研究进展，也考察了含有磁Schrodinger算子的更一般的偏微分方程的相关问题。

This article is applying the second theorem of dimension to dimensionless the different potential function of Schrodinger equation.

量纲Ⅱ定理是物理学中处理量纲问题的一个重要定理，应用量纲Ⅱ定理对不同势函数薛定谔方程无量纲化。

Indeed, it is not clear whether one should interpret the Dirac equation as a quantum mechanical evolution equation, like the Schrodinger equation for single particle.

事实上，人们是否应该将Dirac方程解释为量子力学的进展方程也不是清楚的，像单粒子的Schrodinge方程那样。

Then time-dependent invariant is introduced and a kind of method to solve the Schrodinger equation explicitly called Gauge transformation method.

稍后引入含时不变量的定义，以及精确求解薛定谔方程的含时规范变换方法，再次讨论了Aharonov-Bohm效应，Berry相位和绝热近似。

Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative Ginzburg—Landau equation converges to the solution of derivative nonlinear Schrodinger equation correspondently in one-dimension; The existence of global smooth solution for a class of generalized derivative Ginzburg—Landau equation are proved in two-dimension, in some special case, we prove that the solution of GGL equation converges to the weak solution of derivative nonlinear Schr〓dinger equation; In general case, by using some integral identities of solution for generalized Ginzburg—Landau equations with inhomogeneous boundary condition and the estimates for the L〓 norm on boundary of normal derivative and H〓 norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized Ginzburg—Landau equations.

第三部分：在一维情形，我们考虑了一类带导数项的Ginzburg—Landau方程，通过构造一些类似于发展方程守恒律的泛函及巧妙的积分估计，证明了当粘性系数趋于零时，Ginzburg—Landau方程的解逼近相应的带导数项的Schr〓dinger方程的解，并给出了最优收敛速度估计；在二维情形，我们证明了一类带导数项的广义Ginzburg—Landau方程整体光滑解的存在性，以及在某种特殊情形下，GL方程的解趋近于相应的带导数项的Schr〓dinger方程的弱解；在一般情形下，我们讨论了一类Ginzburg—Landau方程的非齐次边值问题，通过几个积分恒等式，同时估计解的H〓模及法向导数在边界上的模，证明了整体弱解的存在性。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。