| 1. | We can not say for certain which eigenvalue will be obtained .
我们不能说一定得到哪个本征值。 |
| 2. | Notice that the energy eigenvalues are not equally spaced .
注意，这些本征值并不是等距离分布的。 |
| 3. | To this end we shall first consider the following eigenvalue problem .
为此目的，我们将首先考虑下列的本征值问题。 |
| 4. | the roots of the characteristic equations are known as eigenvalues, or characteristic values.
特征方程之根称为本征值或特征值。 |
| 5. | The procedure described above applies to the eigenvalues and eigenfunctions of any hermitian operator .
用上述运算方法也能求出任一厄密算符的本征值和本征函数。 |
| 6. | 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。 |
| 7. | 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。 |
| 8. | 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。 |
| 9. | If only the eigenvalue of a and not the eigenfunctions are desired, it is not necessary, according to section 3. 3, to obtain the transformation matrix s .
假如仅需求出A的本征值而不要求出本征函数，那么按照本章第33节，就不必求出变换矩阵S。 |
| 10. | Estimates for eigenvalues of positive definite operators in l2 spaces
的本征值估计 |
