--- _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' ...