Abstract:Employing the general ordering theorem (GOT), operational methods and incomplete 2-D Hermite polynomials, we derive the t-ordered expansion of Fock space projectors. Using the result, the general ordered form of the coherent state projectors is obtained. This indeed gives a new integration formula regarding incomplete 2-D Hermite polynomials. In addition, the orthogonality relation of the incomplete 2-D Hermite polynomials is derived to resolve Dattoli's failure.
(Calculations and mathematical techniques in atomic and molecular physics)
引用本文:
. [J]. 中国物理快报, 2012, 29(9): 90301-090301.
Farid Shähandeh, Mohammad Reza Bazrafkan, Mahmoud Ashrafi. The s-Ordered Fock Space Projectors Gained by the General Ordering Theorem. Chin. Phys. Lett., 2012, 29(9): 90301-090301.