Left-hand and right-hand inverse operators of quantum operators and its mathematical property
量子算符的左逆右逆及其数学性质

The right-hand inverse operator of the annihilation operators and the left-hand inverse operator of the creation operator are given by using the contour integration. Furthermore, the corresponding relation between the right-hand inverse or left-hand inverse operator derived and the column elementary transformation or row transformation of a matrix is investigated.