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Czechoslovak Journal of Physics

Normal and antinormal ordering of field operators in quantum optics

Jan Peřina

Published Feb 1, 1968• 16 citations
Publisher
DOI
10.1007/bf02101446

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In this paper by virtue of the technique of integration within an ordered product (IWOP) of operators and the intermediate coordinate-momentum representation in quantum optics, we derive the normal ordering and antinormal ordering products of the operator ( fQ + gP ) n when n is an arbitrary integer. These products are very useful in calculating their matrix elements and expectation values and obtaining some useful mathematical formulae. Finally, the applications of some new identities are given.