eigenfunction 中文意思是什麼

eigenfunction 解釋
n. 名詞 【數學】特徵函數，固有函數。

  1. We always reject zero as an eigenfunction on the ground of physics.

    根據物理上的理由，我們總是剔除把零作為本徵函數。
  2. The parity of the eigenfunction is found by determining what happens to the wave function when r is replaced by －r.

    本徵函數的宇稱可以這樣確定：當r用r代替時看波函數的變化。
  3. ( 2 ) morphology of stationary state eigenfunction

    定態波函數形態特徵。
  4. Generalized eigenfunction expansion concerning normal operators

    與正常運算元相關的廣義特徵函數展開
  5. The eigenvalue and eigenfunction of a coupled quantum oscillator

    二維耦合量子諧振子的本徵值和本徵函數
  6. The solutions of eigenvalue and eigenfunction for three non - self - adjont situation are summrized

    對三種非自共軛情形下的本徵值和本徵函數的求解方法進行了歸納總結。
  7. Comparison of modal function expansion method with eigenfunction expansion method for prediction of hydroelastic responses of vlfs

    預報超大型浮體水彈性響應的模態函數展開方法和特徵函數展開方法比較
  8. 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維力學和2維彈性力學問題的特徵函數展開解法。
  9. < uk > since we get continuous rather than discrete allowed values for e 0, the positive - energy eigenfunctions are called continuum eigenfunction. < / uk >

    < uk >由於對e 0得到連續的而非分立的允許值，正能量的本徵函數叫做連續譜本徵函數。 < / uk >
  10. 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，陳金全等人在點群的表示理論上提出了一種新的方法，對稱化玻色表象方法（ sbr ） 。
  11. Since we get continuous rather than discrete allowed values for e≥0, the positive-energy eigenfunctions are called continuum eigenfunction.

    由於對E0得到連續的而非分立的允許值，正能量的本徵函數叫做連續譜本徵函數。
  12. 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

    利用特徵方程展開方法，可獲得分析裂紋尖端處二維熱傳導特徵解的一維有限元列式。
  13. 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

    在平面彈性問題中，由變量代換及變分原理，方程可導向哈密頓體系，從而通過分離變量法及共軛辛本徵函數向量展開法，以解析的方法來進行求解。
  14. 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

    由於從一個空間到另外一個空間的光束傳播伴隨著界面上各個模式能量之間的耦合，作為應用，本文介紹了完備性在三個情況下的應用：平面波導出射光束的衍射性質、波導的橫向和縱向耦合以及標量光柵的測試。
  15. 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

    本文通過計算有限深方形量子線中單電子的基態能、第一激發態能和振子強度研究了以二維諧振子本徵函數為基展開的波函數以及它在這些問題中的應用，此波函數的顯著優點是：在邊界處滿足波函數的連續性條件和粒子流的守恆條件，並且展開項數少，計算方便。
  16. 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

    眾所周知，對于黎曼幾何，調和映射是調和函數的推廣，且當目標流形為r時，二（喲二撇el ] .因此對于屍『 nsler流形m上的函數。可以定義laptace運算元為。
  17. 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

    本文選取了以二維諧振子本徵函數為基展開的波函數，並且考慮了有效質量的失配性，計算了有限深方形量子線中單電子的基態能，激發態能和振子強度。
  18. 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

    摘要運用廣義線性量子變換理論，給出一類二維耦合量子諧振子的能量本徵值、本徵函數、坐標和動量算符在能量表象中的矩陣元及演化算符。
  19. 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

    楊教授多年來從事理論物理學研究，包括基本粒子、場論、高能唯象、耗散系統及本徵態展開，以及對光學和引力波等開放系統的應用。
  20. is the eigenvector corresponding to, and y(t)= is the associated eigenfunction.

    即為對應于的本徵矢量，而y（t）為相應的本徵矢量。
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