2010/08/31 by E. R. Anderson, S. K. Bogner, R. J. Furnstahl +2 · 68 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced NMR Techniques and Applications #Algorithm #Decoupling (probability) #Factorization #Hamiltonian (control theory) #Mathematical analysis #Mathematical optimization #Mathematical physics #Mathematics #Multiplicative function #Nuclear physics research studies #Observable #Operator (biology) #Physics #Quantum mechanics #Renormalization group #Unitary group #Unitary state #Unitary transformation #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevc.82.054001
published in Physical Review C 82(5) (American Institute of Physics) · 33 pages, 19 figures. Improved figures 17 and 18. Expanded comments on OPE in text
openalex publication_date 2010/11/03 · arxiv created 2011/04/05 · arxiv updated 2011/04/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Similarity renormalization group (SRG) flow equations can be used to unitarily soften nuclear Hamiltonians by decoupling high-energy intermediate-state contributions to low-energy observables while maintaining the natural hierarchy of many-body forces. Analogous flow equations can be used to consistently evolve operators so that observables are unchanged if no approximations are made. The question in practice is whether the advantages of a softer Hamiltonian and less-correlated wave functions might be offset by complications in approximating and applying other operators. Here we examine the properties of SRG-evolved operators, focusing in this article on applications to the deuteron but leading toward methods for few-body systems. We find the advantageous features generally carry over to other operators with additional simplifications in some cases from factorization of the unitary transformation operator.