Multidimensional Hermite polynomials and photon distribution for polymode mixed light

Details Multidimensional Hermite polynomials and photon distribution for polymode mixed light Multidimensional Hermite polynomials and photon distribution for polymode mixed light

1993-08-07

arxiv.org/abs/hep-th/9308033v2

Physics

High Energy Physics

High Energy Physics - Theory

LATEX,10 pages,INFN-Na-IV-93/36,DSF-T-93/36

Scientific paper

10.1103/PhysRevA.50.813

For N-mode light described by the Wigner function of generic Gaussian form the photon distribution function is obtained explicitly and expressed in terms of Hermite polynomial of $2N$ variables with equal pairs of indices.The mean values and dispersions of photon numbers are obtained for this generic mixed state.Generating function for photon distribution is obtained explicitly. The expression for $N$-mode photon distribution function for squeezed photon number states in terms of Hermite polynomials of $2N$ variables and for squeezed coherent states in terms of Hermite polynomials of $N$ variables is discussed.

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