Publication: Laguerre moments and generalized functions
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Date
2002-04-19
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Undergraduate course
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Publisher
Iop Publishing Ltd
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Article
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Acesso restrito
Abstract
Here 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.
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Language
English
Citation
Journal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 35, n. 15, p. 3535-3546, 2002.
