---
res:
bibo_abstract:
- '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.@eng'
bibo_authorlist:
- foaf_Person:
foaf_givenName: Rupert
foaf_name: Frank, Rupert L
foaf_surname: Frank
- foaf_Person:
foaf_givenName: Élliott
foaf_name: Lieb, Élliott H
foaf_surname: Lieb
- foaf_Person:
foaf_givenName: Robert
foaf_name: Robert Seiringer
foaf_surname: Seiringer
foaf_workInfoHomepage: http://www.librecat.org/personId=4AFD0470-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0002-6781-0521
- foaf_Person:
foaf_givenName: Lawrence
foaf_name: Thomas, Lawrence E
foaf_surname: Thomas
bibo_doi: 10.1007/s10240-011-0031-5
bibo_issue: '1'
bibo_volume: 113
dct_date: 2011^xs_gYear
dct_publisher: Springer@
dct_title: Stability and absence of binding for multi-polaron systems@
...