dorsal/arxiv
View SchemaThe Unitary Correlation Operator Method from a Similarity Renormalization Group Perspective
| Authors | H. Hergert, R. Roth |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0703006 |
| URL | https://arxiv.org/abs/nucl-th/0703006 |
| DOI | 10.1103/PhysRevC.75.051001 |
| Journal | Phys.Rev.C75:051001,2007 |
Abstract
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 how 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.
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"abstract": "We investigate how the Unitary Correlation Operator Method (UCOM), developed\nto explicitly describe the strong short-range central and tensor correlations\npresent in the nuclear many-body system, relates to the Similarity\nRenormalization Group (SRG), a method to band-diagonalize Hamiltonians by\ncontinuous unitary transformations. We demonstrate how the structure of the\nUCOM transformation, originally motivated from the physically intuitive picture\nof correlations in coordinate space, arises naturally from the SRG flow\nequation. Apart from formal considerations we show that the momentum space\nmatrix elements of the effective interactions obtained in both schemes agree\nextremely well.",
"arxiv_id": "nucl-th/0703006",
"authors": [
"H. Hergert",
"R. Roth"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.75.051001",
"journal_ref": "Phys.Rev.C75:051001,2007",
"title": "The Unitary Correlation Operator Method from a Similarity Renormalization Group Perspective",
"url": "https://arxiv.org/abs/nucl-th/0703006"
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