Simple Approach to Deriving Some Operator Ordering Formulas in Quantum Optics |
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Authors: | Heng-Mei Li and Hong-Chun Yuan |
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Institution: | 1.School of Science,Changzhou Institute of Technology,Changzhou,China;2.Department of Physics,Shanghai Jiao Tong University,Shanghai,China |
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Abstract: | In this paper, we provide a simple and neat approach to some operators’ normal ordering and antinormal ordering formulas in
quantum optics. Namely, we directly adopt the generating function of Hermite polynomial and the Baker-Hausdorff formula, which
differs from the existing ways. As an important byproduct, based on these operator identities, some useful mathematical integral
formulas are easily given without really performing these integrations. |
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Keywords: | |
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