---
_id: '2390'
abstract:
- lang: eng
text: 'We resolve several longstanding problems concerning the stability and the
absence of multi-particle binding for N≥2 polarons. Fröhlich''s 1937 polaron model
describes non-relativistic particles interacting with a scalar quantized field
with coupling √α, and with each other by Coulomb repulsion of strength U. We prove
the following: (i) While there is a known thermodynamic instability for U<2α,
stability of matter does hold for U>2α, that is, the ground state energy per
particle has a finite limit as N→∞. (ii) There is no binding of any kind if U
exceeds a critical value that depends on α but not on N. The same results are
shown to hold for the Pekar-Tomasevich model.'
author:
- first_name: Rupert
full_name: Frank, Rupert L
last_name: Frank
- first_name: Élliott
full_name: Lieb, Élliott H
last_name: Lieb
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Lawrence
full_name: Thomas, Lawrence E
last_name: Thomas
citation:
ama: Frank R, Lieb É, Seiringer R, Thomas L. Stability and absence of binding for
multi-polaron systems. Publications Mathematiques de l Institut des Hautes
Etudes Scientifiques. 2011;113(1):39-67. doi:10.1007/s10240-011-0031-5
apa: Frank, R., Lieb, É., Seiringer, R., & Thomas, L. (2011). Stability and
absence of binding for multi-polaron systems. Publications Mathematiques de
l Institut Des Hautes Etudes Scientifiques. Springer. https://doi.org/10.1007/s10240-011-0031-5
chicago: Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Stability
and Absence of Binding for Multi-Polaron Systems.” Publications Mathematiques
de l Institut Des Hautes Etudes Scientifiques. Springer, 2011. https://doi.org/10.1007/s10240-011-0031-5.
ieee: R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Stability and absence of
binding for multi-polaron systems,” Publications Mathematiques de l Institut
des Hautes Etudes Scientifiques, vol. 113, no. 1. Springer, pp. 39–67, 2011.
ista: Frank R, Lieb É, Seiringer R, Thomas L. 2011. Stability and absence of binding
for multi-polaron systems. Publications Mathematiques de l Institut des Hautes
Etudes Scientifiques. 113(1), 39–67.
mla: Frank, Rupert, et al. “Stability and Absence of Binding for Multi-Polaron Systems.”
Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques,
vol. 113, no. 1, Springer, 2011, pp. 39–67, doi:10.1007/s10240-011-0031-5.
short: R. Frank, É. Lieb, R. Seiringer, L. Thomas, Publications Mathematiques de
l Institut Des Hautes Etudes Scientifiques 113 (2011) 39–67.
date_created: 2018-12-11T11:57:23Z
date_published: 2011-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:12Z
day: '01'
doi: 10.1007/s10240-011-0031-5
extern: 1
intvolume: ' 113'
issue: '1'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1004.4892
month: '06'
oa: 1
page: 39 - 67
publication: Publications Mathematiques de l Institut des Hautes Etudes Scientifiques
publication_status: published
publisher: Springer
publist_id: '4534'
quality_controlled: 0
status: public
title: Stability and absence of binding for multi-polaron systems
type: journal_article
volume: 113
year: '2011'
...