Unitary correlation operator method from a similarity renormalization group perspective | Zendy

H. Hergert | Zendy; Robert Roth | Zendy

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Unitary correlation operator method from a similarity renormalization group perspective

Author(s) -

H. Hergert,

Robert Roth

Publication year - 2007

Publication title -

physical review c

Language(s) - English

Resource type - Journals

eISSN - 1089-490X

pISSN - 0556-2813

DOI - 10.1103/physrevc.75.051001

Subject(s) - unitary state , unitary transformation , operator (biology) , renormalization group , space (punctuation) , matrix similarity , similarity (geometry) , mathematics , position and momentum space , unitary operator , group (periodic table) , renormalization , mathematical physics , physics , quantum mechanics , hilbert space , pure mathematics , mathematical analysis , computer science , quantum , partial differential equation , repressor , artificial intelligence , law , image (mathematics) , biochemistry , political science , transcription factor , chemistry , operating system , gene

We investigate how the Unitary Correlation Operator Method (UCOM), developedto explicitly describe the strong short-range central and tensor correlationspresent in the nuclear many-body system, relates to the SimilarityRenormalization Group (SRG), a method to band-diagonalize Hamiltonians bycontinuous unitary transformations. We demonstrate how the structure of theUCOM transformation, originally motivated from the physically intuitive pictureof correlations in coordinate space, arises naturally from the SRG flowequation. Apart from formal considerations we show that the momentum spacematrix elements of the effective interactions obtained in both schemes agreeextremely well.Comment: 5 pages, 2 figures, using REVTEX4; v2: references adde

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