查询词典 Schrodinger

The one-dimensional time-dependent Schrdinger equation was numerically solved with the symmetric splitting of the short-time exponential propagator and the fast Fourier transformation, and influence of intensity and pulse with on ionization of linear multi-ation molecular ion in two-color laser fields was researched.

利用短时指数传播子对称分割法和快速傅里叶变换技术，数值求解了一维含时Schrodinger方程，探讨了双色激光场中激光的基波和谐波强度之间的不同配比以及脉宽对线性多原子分子离子电离的影响。

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。

By making use of standard transformation and selecting proper gauge transformation conditions, I try to solve the time dependent Schringer equation and derive the exact solution. Under the population representation.

然后采用规范变换的方法，通过选取适当的规范变换条件求解含时Schrodinger方程，在粒子数表象中求得了精确解。

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。

The time evolution of a quantum state is described by the Schrodinger equation, in which the Hamiltonian, the operator corresponding to the total energy of the system, generates time evolution.

薛定谔方程描述量子态的时间演化，在量子态哈密尔敦函数中，操作者与系统的总能量通讯，引起时间演化。

We investigate similar questions for other elliptic operators, such as the Schrodinger operator, non homogeneous membranes, or the bi-Laplacian, and we look at optimal composites and optimal insulation problems in terms of eigenvalues.

我们对相似的问题进行其他椭圆的操作者的研究，例如薛定鄂算子，非同类的膜或者双Laplacian，并且我们就eigenvalues而言看最佳的混合物和最佳的绝缘问题。

In Kuksin's the monograph, assuming the potential depends on n-parameters, he showed that the Schrodinger equation with Dirichlet boundary condition possesses many invariant tori for "most"(in the sense of Lebesgue measure) parameters.

Kuksin 在他 1993 年的专著当中表明，对于依赖于参数的势函数来说，满足 Dirichlet 边值条件的非线性薛定谔方程，对于大多数(在 lebesgue 测度意义下)的参数，存在许多不变环面。

An integrated Hamiltonian theory was constituted in Classical Mechanics and applied to studying the form of Lagrange equation in theory of electromagnetic, the Schrodinger equation and the Liouville theorem in statistical Physics.

经典力学利用Hamilton系统建立了一套完整的Hamilton理论，用以研究电磁场理论的拉格朗日方程形式，薛定谔波方程，统计物理学中的Liouville定理等。

Schrodinger equations are important equations in the mathematical physics,they de-scribe many phenomena of p...

〓方程是数学物理中的一类非常重要的方程，它解释很多物理现象。

With a unitary transformation, the Schrodinger equation becomes the standard mathieu equation, then the energy spectrum and the wave functions of the system are obtained.

用幺正变换将薛定谔方程变换为标准的马丢方程，通过对薛定谔方程的求解，得到了系统的能级和波函数。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。