Salomon S Mizrahi and Diógenes Galetti 2002 J. Phys. A: Math. Gen. 35 3535 doi:10.1088/0305-4470/35/15/312
Salomon S Mizrahi1 and Diógenes Galetti2
Show affiliationsHere we explore the link between the moments of the Laguerre polynomials or Laguerre moments and the generalized functions (as the Dirac delta-function and its derivatives), presenting several interesting relations. A useful application is related to a procedure for calculating mean values in quantum optics that makes use of the so-called quasi-probabilities. One of them, the P-distribution, can be represented by a sum over Laguerre moments when the electromagnetic field is in a photon-number state. Consequently, the P-distribution can be expressed in terms of Dirac delta-function and derivatives. More specifically, we found a direct relation between P-distributions and the Laguerre factorial moments.
Issue 15 (19 April 2002)
Received 16 January 2002, in final form 15 February 2002
Published 5 April 2002
Salomon S Mizrahi and Diógenes Galetti 2002 J. Phys. A: Math. Gen. 35 3535
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