One kind of inverse eigenvalue problems, whose solutions are required to be normal or diagonalizable matrices, is investigated in quaternionic quantum mechanics.

摘要本文研究了四元数量子力学中一类要是正规或可对四元数矩阵的特征值反题。

This paper discusses the structure, calculation of multiplication and power, eigenvalue and eigenvector, and diagonalizable problems of matrix of rank equal to 1.

摘要对秩于1的矩阵的结构、乘法与乘幂运算、特征值与特征向量和对题进行了讨论。

Each eigenstate of an observable corresponds to an eigenvector of the operator, and the associated eigenvalue corresponds to the value of the observable in that eigenstate.

每个可见特征值符合操作者一特征向量，而相关的特征值符合特征值里的可见值。

In the practical applications of highly nonnormal matrices, these theorems may be more useful than their generalized eigenvalue special cases and may provide more descriptive information.

在对高度非正规矩阵的研究应用中，这些定理将比它们的特例-广义特征值定理更可靠，能提供更多的信息。