eigenfunction造句

• 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。
• 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。
• ( 2 ) morphology of stationary state eigenfunction
  定态波函数形态特征。
• Generalized eigenfunction expansion concerning normal operators
  与正常算子相关的广义特征函数展开
• The eigenvalue and eigenfunction of a coupled quantum oscillator
  二维耦合量子谐振子的本征值和本征函数
• The solutions of eigenvalue and eigenfunction for three non - self - adjont situation are summrized
  对三种非自共轭情形下的本征值和本征函数的求解方法进行了归纳总结。
• 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
• In chapter 8 solutions by eigenfunction expansion to 1 - dimensional problems of mechanics and 2 - dimensional problems of theory of elasticity are researched
  第八章研究1维力学和2维弹性力学问题的特征函数展开解法。
• < uk > since we get continuous rather than discrete allowed values for e 0 , the positive - energy eigenfunctions are called continuum eigenfunction . < / uk >
  < uk >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。 < / uk >
• In 1990s based on the eigenfunction method of representation theory of groups , a new method , the symmetrized boson representation ( sbr ) method , was brought forward
  90年代，陈金全等人在点群的表示理论上提出了一种新的方法，对称化玻色表象方法( sbr ) 。
• By using the eigenfunction expansion technique , a one - dimension finite element formulation is then developed to determine the eigensolutions to the 2d heat conduction problem at the crack tip , which discretizes the sectorial domain circumferenially
  利用特征方程展开方法，可获得分析裂纹尖端处二维热传导特征解的一维有限元列式。
• His research interests include elementary particles , field theory , high energy phenomenology , dissipative systems and especially their eigenfunction representation and application to optics , gravitational waves and other open systems
  杨教授多年来从事理论物理学研究，包括基本粒子、场论、高能唯象、耗散系统及本征态展开，以及对光学和引力波等开放系统的应用。
• When target manifold is r , . if u is a function of finsler manifold , we can define laplace operator , it is well - defined . if u is called the eigenvalue of the laplacian a and u is called the corresponding eigenfunction
  众所周知，对于黎曼几何，调和映射是调和函数的推广，且当目标流形为r时，二(哟二撇el ] .因此对于尸‘ nsler流形m上的函数。可以定义laptace算子为。
• In the method , rendering level to correlative characteristic is enormously raised with three parameters , which are image eigenfunction originated , style of drawing primitives selected , and quantity of drawing primitives confirmed
  在该方法中，建立图像的特征函数，选取绘图图元的类型，确定绘图图元的数量，用上述的三个参量可以大大提高图像相关特征信息的再现能力。
• The energy eigenvalue , eigenfunction , matrix elements of coordinate and momentum operators in energy representation , and evolution operator for a two - dimentional coupled oscillator are presented by using the general linear quantum transformation theory
  摘要运用广义线性量子变换理论，给出一类二维耦合量子谐振子的能量本征值、本征函数、坐标和动量算符在能量表象中的矩阵元及演化算符。
• The governing equations of the problem are derived in hamiltonian form by using variable substitution and variational principle . then the methods of separation of variables and conjugate symplectic eigenfunction expansion are developed to solve the equations of plate bending problem . the result can be derived by analytical method
  在平面弹性问题中，由变量代换及变分原理，方程可导向哈密顿体系，从而通过分离变量法及共轭辛本征函数向量展开法，以解析的方法来进行求解。
• This thesis tries to modify the perfect set of waveguide mode theory and gives several examples of its application . firstly , from the functional analysis , the eigenfunction series of vectorial partial differential operator is studied . the property of complete space is gotten
  本文首先从泛函分析的方法出发，研究了矢量偏微分算子本征函数系的性质，得到了矢量偏微分算子正交完备归一化本征函数的存在证明，研究了maxwell方程组的情况，证明了电磁场在均匀和非均匀介质条件下的正交本征函数系的完备性质。
• And this result is extended to the eigenfunction of maxwell ' s equations . then the mode series of step index planar dielectric waveguide and circular optical fiber are studied , including propagation modes and radiation modes . as application , there are three examples : the emergent wave from planar waveguide to free space , the transverse and longitudinal coupling of waveguide and the measurement of scalar gratings
  由于从一个空间到另外一个空间的光束传播伴随着界面上各个模式能量之间的耦合，作为应用，本文介绍了完备性在三个情况下的应用：平面波导出射光束的衍射性质、波导的横向和纵向耦合以及标量光栅的测试。
• In this paper , the wavefunction is expanded in terms of the two - dimensional harmonic oscillator eigenfunction and the mismatch of the effective mass is considered . we calculate the energy of the ground state , the energy of the first excited state and the oscillator strength of the single electron in a square quantum wire with finite barriers
  本文选取了以二维谐振子本征函数为基展开的波函数，并且考虑了有效质量的失配性，计算了有限深方形量子线中单电子的基态能，激发态能和振子强度。
• This paper has studied the wavefunction expanded in terms of the two - dimensional harmonic oscillator eigenfunction through calculating the energy of the ground state , the energy of the first excited state and the oscillator strength in a square wire with finite barriers and studied its application in these fields . the most remarkable advantage of this wavefunction is that it can satisfy the continuity of the function and of its derivative divided by the band - mass and it is convenient to calculate some physical magnitudes because the number of the terms is small
  本文通过计算有限深方形量子线中单电子的基态能、第一激发态能和振子强度研究了以二维谐振子本征函数为基展开的波函数以及它在这些问题中的应用，此波函数的显著优点是：在边界处满足波函数的连续性条件和粒子流的守恒条件，并且展开项数少，计算方便。