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Similarity renormalization group for nucleon-nucleon interactions

2006/11/30 by S. K. Bogner, R. J. Furnstahl, R. J. Perry +1
Mathematics · Physics and Astronomy · #Artificial intelligence #Atomic and Molecular Physics #Computer science #Convergence (economics) #Diagonal #Diagonal matrix #Hamiltonian (control theory) #Mathematical physics #Mathematics #Matrix similarity #Nuclear physics research studies #Nucleon #Observable #Particle physics #Physics #Political science #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Renormalization #Renormalization group #Similarity (geometry) #Simple (philosophy) #Unitary state #Unitary transformation #cond-mat.str-el #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevc.75.061001

published as Phys.Rev.C75:061001,2007 · 5 pages, 6 figures (8 figure files); references updated and acknowledgment added

arxiv created 2007/06/04 · openalex publication_date 2007/06/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08

Abstract

The similarity renormalization group (SRG) is based on unitary transformations that suppress off-diagonal matrix elements, forcing the Hamiltonian toward a band-diagonal form. A simple SRG transformation applied to nucleon-nucleon interactions leads to greatly improved convergence properties while preserving observables and provides a method to consistently evolve many-body potentials and other operators.

Citations