Physics – Mathematical Physics
Scientific paper
2006-02-12
Physics
Mathematical Physics
13 pages; several typos have been removed; a new section (V) has been added; it deals with the numerical implementation of the
Scientific paper
We present an integral transformation capable of extracting moments of arbitrary Paley-Wiener entire functions against a given spectral distribution based solely on short-time values of the correlation function in a small open disk about the origin. The integral is proven to converge absolutely to the expected result for those correlation functions that can be extended analytically to the entire complex plane, with the possible exception of two branch cuts on the imaginary axis. It is only the existence of an analytic continuation that is required and not the actual values away from the small disk about the origin. If the analytic continuation exists only for a strip |Im(z)| < \tau_0, then the integral transformation remains valid for all Paley-Wiener functions obtained by Fourier-Laplace transforming a compactly supported distribution, with the support included in the interval (-2\tau_0, 2\tau_0). Finally, if the support of the distribution is contained in the interval $(-\tau_0, \tau_0)$, then the generalized moment can be evaluated from the short-time values of the correlation function exponentially fast
No associations
LandOfFree
Generalized moments of spectral functions from short-time correlation functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Generalized moments of spectral functions from short-time correlation functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized moments of spectral functions from short-time correlation functions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-167316