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Physics Letters A

New antinormal ordering expansion for density operators

Hong-Yi Fan

Published Dec 1, 1991• 51 citations
Publisher
DOI
10.1016/0375-9601(91)90533-e

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Based on the newly constructed overcompleteness relation of the nonlinear coherent states (NLCSs) and corresponding 𝒫-representation we derive: (1) a new antinormally ordered expansion of density matrices; and (2) the corresponding positive 𝒫-representation. Our derivation employs the technique of integration within an ordered product of nonlinear Bose operator functions. A relationship between the positive 𝒫-representation and the generalized characteristic function in the context of NLCSs is also obtained.