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