Prony's method and the connected-moments expansion

DOI10.1088/0031-8949/87/02/025006zbMATH Open1264.81203arXiv1111.3797OpenAlexW1972501246MaRDI QIDQ4924371

Publication date: 31 May 2013

Published in: Physica Scripta (Search for Journal in Brave)

Abstract: We show that Prony's method provides the full solution to the nonlinear equations of the connected--moments expansion (CMX). Knowledge of all the parameters in the CMX ansatz is useful for the analysis of the convergence properties of the approach. Prony's method is also suitable for the calculation of the correlation function for simple quantum--mechanical models.

Full work available at URL: https://arxiv.org/abs/1111.3797

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

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