eigenfunction
英
美
n. 本（特）征函数
双语例句
- Perturbation of Eigenvalue and Eigenfunction for Higher Order Ordinary Differential Equation in the Case of Boundary Perturbation Combined with Operator Perturbation
在边界和算子摄动相结合的情况下高阶常微分方程特征值与特征函数的摄动 - The parity of the eigenfunction is found by determining what happens to the wave function when r is replaced by-r.
本征函数的宇称可以这样确定：当r用－r代替时看波函数的变化。 - Based on the deep analysis of the principle of parametric polynomial method, shape eigenfunction method is presented in this paper.
在深入分析参数多项式方法数学原理的基础上，提出了参数分布形状特征式法。 - We always reject zero as an eigenfunction on the ground of physics.
根据物理上的理由，我们总是剔除把零作为本征函数。 - Gaussian peak area computation of NaI gamma spectrometry based on the eigenfunction
基于特征函数的NaIγ能谱高斯峰面积计算 - Since we get continuous rather than discrete allowed values for E ≥ 0, the positive-energy eigenfunctions are called continuum eigenfunction.
由于对E≥0得到连续的而非分立的允许值，正能量的本征函数叫做连续谱本征函数。 - Analysis of doubly periodic in-plane cracks using the eigenfunction expansion-variational method
双周期平面裂纹问题的特征展开-变分方法多次电渗展开在平面电色谱中的应用探索 - The uniform differentiability of characteristic function and conditional characteristic function and reversion formula of conditional eigenfunction are obtained in this paper.
得到了特征函数、条件特征函数的一致可微性和条件特征函数的反演公式。 - Comparison of Modal Function Expansion Method with Eigenfunction Expansion Method for Prediction of Hydroelastic Responses of VLFS
预报超大型浮体水弹性响应的模态函数展开方法和特征函数展开方法比较 - By means of introducing eigenfunction and eigenvalue and constructing blow-up factor it is proved that the solution of the equation will blow up in finite time when its initial value satisfies with the given condition.
通过引入特征函数和特征值以及构造爆破因子的方法，证明了在满足一定的初始条件和边界条件下方程的解会在有限时间里发生爆破。 - Research on a solution method by eigenfunction expansion
特征函数展开解法的研究 - In this paper we use the method of supersymmetry and shape invariance in the quantum mechanics to find energy eigenvalues and eigenfunction of ring shaped oscillator.
文章应用量子力学中超对称性和形不变性的方法求解环形振子的能量本征值和本征函数。 - Besides, by giving a Dirac eigenvalue problem example and studying the eigenvalue and eigenfunction of it and its adjoint problem, we can obtain an eigenfunction expansion theorem.
此外讨论了一个非自伴的问题，对它和它的伴随问题的特征值、特征函数进行了详细的讨论，得到了一特征展开定理。 - Based on the acoustic wave equation in a spherical coordinate system, the eigenfunction expansion method and interface boundary conditions are used to derive the inside scattered sound field of a double layered elastic enclosed spherical shell in this paper.
从球坐标中声波波动方程出发，利用本征函数展开方法和界面边界条件，导出了双层弹性封闭球壳的内部散射声场表达式。 - The Completeness of Generalized Eigenfunction System of the Transport Operator for a Nonhomogeneous Convex Medium
一般非均匀凸介质的迁移算子广义本征函数系统的完整性 - Some embedded inequalities of eigenfunction polynomials are presented and error transformations in polynomial approximation are dealt with by using Wu Xuemou's MSP Transforming Principle.
本文证明了一些特征函数多项式的嵌入不等式，并利用MSP转化原则来处理特征函数多项式逼近中的误差转化问题。 - A new kind of eigenfunction is presented.
提出了一类新的本征函数。 - The degree of approximation of Fourier partial summation by eigenfunction expansion and the linear summation of eigenfunction expansion are discussed. An improvement on the condition for uniqueness theorem of the Borg-type is made.
本文讨论了按特征函数展开的Fourier部分和的逼近度和特征函数展式的线性求和法，并对Borg型的唯一性定理的条件作了改进。 - The expansion of a wave function, according to eigenfunction series of mechanical quantity operator.
波函数按力学量算符的本征函数系展开是量子力学的基本问题之一。 - In this paper, The dyadic Green's function for nonradiative dielectric ( NRD) waveguide is derived by the eigenfunction expansion method. The complete electric dyadic Green's function for this guide is given.
本文利用本征函数展开法推导了无辐射介质（NRD）波导中的并矢格林函数，给出了其中电型并矢格林函数的完备形式。 - In this paper, a biorthogonal mode eigenfunction method is presented and applied to the analysis of EM radiation and scattering problems.
本文提出了一种双正交本征函数方法并用于对电磁辐射和散射问题的分析。 - In combination with the Floquet theory, the method is employed to analyze rectangular dielectric waveguide array and to derive the coupled eigenfunction equation of one dimension periodic structure.
根据Floquet理论和该方法，分析了矩形介质波导阵列，推得两个一维周期介质结构的耦合特征方程。 - Two Eigenfunction Expansions of Dirac Operator with Three-point Boundary Condition
两个三点边值的Dirac问题的特征展开定理 - The Stability of B é nard System and the Orthogonality of Eigenfunction
Bénard系统的稳定性与本征函数的正交性 - A theoretical study on surface acoustic waves ( SAW) generated by a pulsed laser is presented, using the eigenfunction expansion method.
本文运用本征函数展开的方法对固体材料中脉冲激光激发的声表面波进行了理论研究。 - At first, all the eigenvalues and their eigenfunction vectors in rectangular domain are solved directly with rational analyses.
首先，通过理性分析直接求解出矩形域问题所有的本征值及其本征函数向量。 - The transformation relation of momentum operator and eigenfunction in the different representation is discussed;
利用矩阵表示，讨论了角动量算符及本征函数在不同表象中的标准变换关系； - An appendix is in the end to exhibit an Euclidean version of bilinear eigenfunction estimates and estimate on Weyl sums.
最后的附录包括一个双线性特征值估计在欧氏空间的版本和Weyl和式的估计。 - Eigenfunction of the electron and hole and their corresponding eigenvalues are investigated. The simulation can be generalized to solve the time-independent Schrodinger equations with arbitrary potentials. 2.
计算得到电子和空穴的各级本征函数和本征值，该方法可以推广到求解任意势中的定态薛定谔方程。