Stability and absence of binding for multi-polaron systems

R. Frank, É. Lieb, R. Seiringer, L. Thomas, Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques 113 (2011) 39–67.


Journal Article | Published
Author
; ; ;
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.
Publishing Year
Date Published
2011-06-01
Journal Title
Publications Mathematiques de l Institut des Hautes Etudes Scientifiques
Volume
113
Issue
1
Page
39 - 67
IST-REx-ID

Cite this

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
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. https://doi.org/10.1007/s10240-011-0031-5
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 113, no. 1 (2011): 39–67. https://doi.org/10.1007/s10240-011-0031-5.
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, pp. 39–67, 2011.
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.
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.

Link(s) to Main File(s)
Access Level
OA Open Access

Export

Marked Publications

Open Data IST Research Explorer

Search this title in

Google Scholar