# Unitary correlation operator method from a similarity renormalization group perspective

## 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 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.

- Authors:

- Institut fuer Kernphysik, Technische Universitaet Darmstadt, D-64289 Darmstadt (Germany)

- Publication Date:

- OSTI Identifier:
- 20995253

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevC.75.051001; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CORRELATIONS; EQUATIONS; HAMILTONIANS; INTERACTIONS; MANY-BODY PROBLEM; MATRIX ELEMENTS; RENORMALIZATION; TENSORS

### Citation Formats

```
Hergert, H., and Roth, R..
```*Unitary correlation operator method from a similarity renormalization group perspective*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVC.75.051001.

```
Hergert, H., & Roth, R..
```*Unitary correlation operator method from a similarity renormalization group perspective*. United States. doi:10.1103/PHYSREVC.75.051001.

```
Hergert, H., and Roth, R.. Tue .
"Unitary correlation operator method from a similarity renormalization group perspective". United States.
doi:10.1103/PHYSREVC.75.051001.
```

```
@article{osti_20995253,
```

title = {Unitary correlation operator method from a similarity renormalization group perspective},

author = {Hergert, H. and Roth, R.},

abstractNote = {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.},

doi = {10.1103/PHYSREVC.75.051001},

journal = {Physical Review. C, Nuclear Physics},

number = 5,

volume = 75,

place = {United States},

year = {Tue May 15 00:00:00 EDT 2007},

month = {Tue May 15 00:00:00 EDT 2007}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.