is the eigenvector corresponding to , and y(t)= is the associated eigenfunction. 即为对应于的本征矢量，而y（t）为相应的本征矢量。
This firmly establishes the nature of the oscillations as low acoustic eigenmodes of the subphotospheric layers . 这就确凿地证实了振荡的本质是次光球层的低频声波本征模式。
In fact, we could make the substitution and still wind up with the correct eigenfunctions and eigenvalues . 事实上，我们可以做这种代换而仍能绕弯得出正确的本征函数和本征值。
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。
One significance of the eigenvectors is seen to be that they determine the values of the state variables in a characteristic mode . 本征矢量的重要意义之一是，它们决定了在一定模态中状态变量的相对值。
the value of the stationary states but also the corresponding functions ψ(orψ=ψe), the so-called eigenfunctions. 并且还给出相应的函数（e），这就是所谓的本征函数。
The process of finding the eigenvalues of operators without using their explicit forms has an elegance that will reward the persistent student . 不用算符的显形式来求算符的本征值的步骤是坚持不懈的学生值得做的一件美事。
The process of finding the eigenvalues of operators without using their explicit forms has an elegance that will reward the persistent student . 不用算符的显形式来计算符的本征值的步骤是坚持不懈的学生值得做的一件美事。
This variation hampered the study of the "intrinsic" properties as one could never be quite sure that an observed effect was not due to impurities . 这种变化妨碍了“本征”性质的研究，因为总不能十分确信所观察到的效应不是由杂质引起的。
since we get continuous rather than discrete allowed values for e≥0, the positive-energy eigenfunctions are called continuum eigenfunction. 由于对E0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。
