Phase correlation function of complex random Gaussian fields

The phase correlation function $\langle \exp[i\theta({\bf x+s})-i\theta({\bf x})]\rangle $ for the complex random Gaussian field $\psi ({\bf x})=|\psi ({\bf x})|{\rm exp}[i\theta ({\bf x})]$ is derived. It is compared to the numerical scattering wave function in the open Sinai billiard.

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Bibliographic Details
Published in:Europhysics letters 2007-12, Vol.80 (5), p.50003-3
Main Authors: Maksimov, D. N, Sadreev, A. F
Format: Article
Language:English
Subjects:
03.65.-w
05.45.Mt
05.60.Gg
TECHNOLOGY
TEKNIKVETENSKAP
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Summary:The phase correlation function $\langle \exp[i\theta({\bf x+s})-i\theta({\bf x})]\rangle $ for the complex random Gaussian field $\psi ({\bf x})=|\psi ({\bf x})|{\rm exp}[i\theta ({\bf x})]$ is derived. It is compared to the numerical scattering wave function in the open Sinai billiard.
ISSN:0295-5075
0749-1581
1286-4854
1286-4854
1097-458X
DOI:10.1209/0295-5075/80/50003