A Renormalisation Approach to Effective Interactions in Hilbert Space

2002/09/23 by J. Richert, Richert, J.
Physics and Astronomy · #Atomic and Molecular Clusters (physics.atm-clus) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Nuclear Theory (nucl-th) #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Quantum many-body systems #nucl-th #physics.atm-clus #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0209119

5 pages, no figures, LateX file

arxiv created 2002/09/23 · openalex publication_date 2002/09/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The low-lying bound states of a microscopic quantum many-body system of n particles and the related physical observables can be worked out in a truncated n--particle Hilbert space. We present here a non-perturbative analysis of this problem which relies on a renormalisation concept and work out the link with perturbative approaches.

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