In this paper,by using crystal-field theory and analyzing the formular of Hamiltonian matrix element,the characteristics of the element-to-be-zero of static matrix,crystal field matrix,spin-orbit coupling matrix,Trees correction matrix and spin-spin matrix are obtained respectively.

In this paper,the concept of nilpotent matrix is used to discuss some characters of the nilpotent matrix in general number field.

However, the properties of nilpotent matrix have not been much explored although its definition is given in discussing the multiplication of matrix.

This paper is derived to the study of the equation X~m=A where A is a n×n nilpotent matrix with 2≤m∈N.

On Nilpotent Matrices over Idempotent and Right-sided Quantale;

In this paper,we characterize isotropy subgroups of Jordan normal form of 3-nilpotent matrices under the conjugate action of GLn(F).

This paper devotes to an approach to nilpotent matrices and gives a classification theorem on lower dimensional nilpotent algebras.

This paper studied all the situations that the zero matrix and identity can be denoted by the linear combination of three nonzero idempotent matrices,which are not different from each other and the product of any two matrices is commutative.