# Quantitative estimates on the enhanced binding for the Pauli-Fierz operator

## Abstract

For a quantum particle interacting with a short-range potential, we estimate from below the shift of its binding threshold, which is due to the particle interaction with a quantized radiation field.

- Authors:

- Centre de Physique Theorique, Luminy Case 907, 13288 Marseille Cedex 9 (France)
- (France)
- (Chile)
- (Germany)

- Publication Date:

- OSTI Identifier:
- 20768688

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Mathematical Physics; Journal Volume: 46; Journal Issue: 12; Other Information: DOI: 10.1063/1.2142835; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MATHEMATICAL OPERATORS; PARTICLE INTERACTIONS; QUANTUM ELECTRODYNAMICS; QUANTUM MECHANICS; SCHROEDINGER EQUATION

### Citation Formats

```
Barbaroux, Jean-Marie, Linde, Helmut, Vugalter, Semjon, Departement de Mathematiques, Universite du Sud-Toulon-Var, Avenue de l'Universite, 83957 La Garde Cedex, Facultad de Fisica, P. Universidad Catolica de Chile, Casilla 306, Santiago 22, Mathematisches Institut, Ludwig-Maximilians-Universitaet Muenchen, Theresienstrasse 39, 80333 Munich, and Institut fuer Analysis, Dynamik und Modelierung, Universitaet Stuttgart, Stuttgart.
```*Quantitative estimates on the enhanced binding for the Pauli-Fierz operator*. United States: N. p., 2005.
Web. doi:10.1063/1.2142835.

```
Barbaroux, Jean-Marie, Linde, Helmut, Vugalter, Semjon, Departement de Mathematiques, Universite du Sud-Toulon-Var, Avenue de l'Universite, 83957 La Garde Cedex, Facultad de Fisica, P. Universidad Catolica de Chile, Casilla 306, Santiago 22, Mathematisches Institut, Ludwig-Maximilians-Universitaet Muenchen, Theresienstrasse 39, 80333 Munich, & Institut fuer Analysis, Dynamik und Modelierung, Universitaet Stuttgart, Stuttgart.
```*Quantitative estimates on the enhanced binding for the Pauli-Fierz operator*. United States. doi:10.1063/1.2142835.

```
Barbaroux, Jean-Marie, Linde, Helmut, Vugalter, Semjon, Departement de Mathematiques, Universite du Sud-Toulon-Var, Avenue de l'Universite, 83957 La Garde Cedex, Facultad de Fisica, P. Universidad Catolica de Chile, Casilla 306, Santiago 22, Mathematisches Institut, Ludwig-Maximilians-Universitaet Muenchen, Theresienstrasse 39, 80333 Munich, and Institut fuer Analysis, Dynamik und Modelierung, Universitaet Stuttgart, Stuttgart. Thu .
"Quantitative estimates on the enhanced binding for the Pauli-Fierz operator". United States.
doi:10.1063/1.2142835.
```

```
@article{osti_20768688,
```

title = {Quantitative estimates on the enhanced binding for the Pauli-Fierz operator},

author = {Barbaroux, Jean-Marie and Linde, Helmut and Vugalter, Semjon and Departement de Mathematiques, Universite du Sud-Toulon-Var, Avenue de l'Universite, 83957 La Garde Cedex and Facultad de Fisica, P. Universidad Catolica de Chile, Casilla 306, Santiago 22 and Mathematisches Institut, Ludwig-Maximilians-Universitaet Muenchen, Theresienstrasse 39, 80333 Munich and Institut fuer Analysis, Dynamik und Modelierung, Universitaet Stuttgart, Stuttgart},

abstractNote = {For a quantum particle interacting with a short-range potential, we estimate from below the shift of its binding threshold, which is due to the particle interaction with a quantized radiation field.},

doi = {10.1063/1.2142835},

journal = {Journal of Mathematical Physics},

number = 12,

volume = 46,

place = {United States},

year = {Thu Dec 15 00:00:00 EST 2005},

month = {Thu Dec 15 00:00:00 EST 2005}

}

DOI: 10.1063/1.2142835

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