Schrdinger equation
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网络 薛定谔方程; 薛定谔方程式; 波动方程
双语例句
- The Schrdinger equation is given directly from the classical Hamiltonian function of a damping harmonic oscillator, and its solution is obtained by the separation of variables.
写出阻尼谐振子的哈密顿函数，对其直接量子化，用分离变量法得出了薛定谔方程的解。 - In2D polar coordinates, the exact solution to the Schrdinger equation was used to calculate the perturbation integral in a parabolic confinement potential.
受限势采用抛物形势，在二维平面极坐标下，用薛定谔方程的精确解析解进行计算。 - Based on the previous works, the Schrdinger equation of the hydrogen-like atom is analytically solved further.
在以往工作基础上对类氢原子体系的薛定谔方程进行了进一步求解。 - Stemming from the coupled nonlinear Schrdinger equation, we use the split-step Fourier transforms ( SSFT) to study the factors which influence the signal pulse's transmission.
从非线性薛定谔耦合方程出发，利用分步傅立叶的方法得到了脉冲的动力学方程。 - The analytical solutions to1D Schrdinger equation ( in depth direction) in double gate ( DG) MOSFETs are derived to calculate electron density and threshold voltage.
推导了双栅MOSFET器件在深度方向上薛定谔方程的解析解以求得电子密度和阈电压。 - The nonlinear Schrdinger equation of laser-plasma interaction is used to study the self-compression of femtosecond intense laser pulse in plasma.
文章从激光等离子体相互作用的非线性薛定谔方程出发，理论研究了飞秒强激光脉冲在等离子体中的自压缩行为。 - An analytic expression of the chirp of orthogonally polarization modes is derived based on coupled nonlinear Schrdinger equation. It is analysised that the walk-off effect of polarization modes and power budget in the fiber influences the chirp.
利用耦合非线性薛定谔方程推导出两垂直偏振耦合模产生啁啾的表达式，分析了偏振模走离效应和入纤功率分配对啁啾的影响。 - The direct tunneling effect in SiC Schottky contacts is simulated based on electron tunneling probabilities through a triangular barrier, which are accurately solved using the one-dimensional time-independent Schrdinger equation.
通过精确求解一维定态薛定谔方程得到电子通过三角形势垒的隧穿几率，模拟了SiC肖特基接触的直接隧穿效应。 - By non-linear Schrdinger equation, soliton interaction in decreasing-dispersion fiber ( DDF) was simulated using split-step Fourier transformation and Matlab program. The results are compared with the soliton interaction in common fiber.
以非线性薛定谔方程为理论依据，应用对称傅立叶变换，采用MATLAB编程，对色散缓变光纤（DDF）中孤子间相互作用进行了理论模拟，并与普通光纤进行了比较。 - In comparison with the methods by solving Schrdinger equation or using group theory, this method is more simple and convenient, and its physical picture is very visual and explicit.
这种方法与严格求解薛定谔方程或群论方法相比，较为简便，且物理图像直观、明确。 - A new spectral fitting method for solving the time-dependent Schrdinger equation has been developed and applied to the atom in intense laser fields.
介绍了一种新的求解含时薛定谔方程的谱拟合法。 - Supercontinuum generation and self-focusing effect of ultra-short pulse propagation in Kerr media were investigated according to ( 3+ 1) dimensions'nonlinear Schrdinger equation.
从（3+1）维非线性薛定谔方程出发，理论上分析了超短脉冲频谱展宽与自聚焦的影响因素。 - Based on Schrdinger equation, the method of analytical continuation in the coupling constant ( ACCC) is employed to investigate the energy and width of single-particle resonance in spherically symmetric square well, harmonic oscillator potential and Woods-Saxon potential.
基于Schr¨odinger方程，利用耦合常数解析延拓方法研究了球对称的方势阱、WoodsSaxon势和谐振子势中的单粒子共振态的能量与宽度。 - A method without any approximation to separate the global rotational degrees of freedom in the Schrdinger equation for an N-body system completely from the internal ones is presented.
介绍一种精确的方法，在质心坐标系中，把量子N体系统的整体转动自由度和内部运动自由度完全地分离开来。 - Exact Solution to the Time-dependent Schrdinger Equation
含时薛定谔方程的精确解 - A perturbation theory of electromagnetic fields in metal cavity has been presented according to the similarity of Helmholtz equation and schrdinger equation. When a dielectric is introduced in metal cavity, the electromagnetic fields and oscillating frequency may be changed.
根据电磁场Helmholtz方程与定态薛定谔方程的相似性，给出了金属谐振腔电磁场的微扰理论：在金属腔中放入一介质体时，原来空腔中电磁场的分布和谐振频率会发生改变。 - Stationary solutions of the nonlinear Schrdinger equation for neutral atoms
简谐势阱中中性原子非线性薛定谔方程的定态解 - Modulation instability ( MI) in single-mode optical fibers is investigated analytically and numerically using a modified nonlinear Schrdinger equation.
基于修正的非线性薛定谔方程，利用线性扰动理论和数值方法研究了单模光纤中的调制不稳定性。 - Based on the linearization approximation, nonlinear Schrdinger equation is quantized, the influences of the initial chirp on soliton squeezing ratio was studied by using back propagation method.
在线性近似条件下，量子化了非线性薛定谔方程，用后向传播法数值求解了初始啁啾对光孤子压缩比的影响。 - In the paper, from the definition of Legendre elliptic integration and Jacobi elliptic function, new transformations are obtained and applied to construct the exact solutions of nonlinear Schrdinger equation, KdV equation and BBM equation.
从Legendre椭圆积分和Jacobi椭圆函数的定义出发，得到了新的变换，并把它用于非线性Schrdinger方程、KdV方程和BBM方程的求解中。 - The Schrdinger equation and Poisson equation are solved self-consistently to calculate the new two dimensional surface states.
从薛定谔方程和泊松方程的自洽计算中得到了新的二维表面态。 - Exact Soliton Solutions and Interaction for the Nonlinear Schrdinger Equation with Time-dependent Linear Potential
含时线性势非线性薛定谔方程的孤子解 - We analyse the common radial and time Schrdinger equation using finite differential approach, get dispersion equations of two kinds of Schrdinger equation by finite differential approach.
对普通的径向薛定谔方程和含时的薛定谔方程进行了有限差分法的分析，给出了两种薛定谔方程的有限差分法的离散方程。 - The effect of third order and fourth order dispersion on cross phase modulational instability based on extended nonlinear Schrdinger equation is investigated.
以包含了三、四阶色散项的耦合非线性薛定谔方程为基础，重点研究了三、四阶色散对交叉相位调制不稳定性的影响。 - Wei-Norman decomposition is a well known theory for solving matrix differential equations. The Schrdinger Equation with unitary evolution equations is a matrix differential equations, so Wei-Norman decomposition can be used for solving the multi-level quantum systems.
Wei-Norman分解对于分析矩阵微分方程的解是比较成熟的理论，含有幺正演化矩阵的薛定谔方程是矩阵微分方程，所以可以利用Wei-Norman分解来分析求出多能级量子系统的解。 - The time-dependent Schrdinger equation is numerically solved by the combing transfer matrix and the Runge-Kutta method. The temporal evolution of the wave functions and tunneling time are discussed within a GaAs-Al_xGa_1-xAs double barriers structure.
采用转移矩阵和数值计算相结合的方法求解含时Schrdinger方程，计算了电子在双势垒结构中的构建时间和隧穿寿命。 - The fiber propagation model can be described by the nonlinear Schrdinger equation. In this paper, a numerical approach ( split-step Fourier method) for solving the equation is discussed.
光纤传播模型可以用非线性薛定谔方程描述，本文介绍了求解此方程的数值方法（分步傅立叶法）。 - Spatiotemporal instability of ultrashort pulse beam propagating through cubic nonlinear dispersive media is studied by using an extended nonlinear Schrdinger equation ( NLSE).
利用一个拓展的非线性薛定谔方程，研究了高强度超短脉冲光束在三阶非线性介质中传输时的时空调制不稳定现象。 - Through directly evolving a one-dimensional Schrdinger equation, we find that multiple focusing appears when laser intensity is larger than that required for simple focusing.
通过直接演化一维薛定谔方程，发现当激光的强度较大时，原子束将会聚焦形成几个焦点。 - Another Way to Establish Schrdinger Equation
建立薛定谔方程的另一种方法