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Kubo Lineshape and its Fitted q-Gaussian Tsallis Function

Amelia Carolina SparavignaDepartment of Applied Science and Technology, Polytechnic University of Turin, Italy
2024en
ABI

Abstract

Here we consider the Kubo lineshape, that is the Fourier transform of Kubo stochastic time-correlation function, and its fitted q-Gaussian function. In particular we investigate how q-Tsallis Gaussian functions can be used as a substitute of a Kubo lineshape. In fact, the q-Gaussian has a simple analytic expression, whereas the Kubo lineshape requires a numerical calculation of Fourier transform. The aim of this investigation is to further generalize the application of q-Gaussian Tsallis functions in Raman spectroscopy.

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