2007/03/31 by H. Hergert, R. Roth, Robert Roth · 47 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Computer science #Group (periodic table) #Hilbert space #Mathematical analysis #Mathematical physics #Mathematics #Matrix similarity #Nuclear physics research studies #Operator (biology) #Partial differential equation #Physics #Position and momentum space #Pure mathematics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Renormalization #Renormalization group #Similarity (geometry) #Space (punctuation) #Unitary operator #Unitary state #Unitary transformation #nucl-th
paper · pdf · doi:10.1103/physrevc.75.051001
published in Physical Review C 75(5) (American Institute of Physics) · 5 pages, 2 figures, using REVTEX4; v2: references added
arxiv created 2007/04/24 · openalex publication_date 2007/05/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate how the unitary correlation operator method (UCOM), developed to explicitly describe the strong short-range central and tensor correlations present in the nuclear many-body system, relates to the similarity renormalization group (SRG), a method to band-diagonalize Hamiltonians by continuous unitary transformations. We demonstrate that the structure of the UCOM transformation, originally motivated from the physically intuitive picture of correlations in coordinate space, arises naturally from the SRG flow equation. Apart from formal considerations we show that the momentum space matrix elements of the effective interactions obtained in both schemes agree extremely well.