Left-hand and right-hand inverse operators of quantum operators and its mathematical property

Shimin Xu, Yunhai Zhang, Xing-Lei Xu, Hongqi Li · Acta Physica Sinica · 2010

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.

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