caa a22 4500 445849428 CHVBK 20180317145409.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s10240-011-0031-5 doi (NATIONALLICENCE)springer-10.1007/s10240-011-0031-5 Stability and absence of binding formulti-polaron systems [Elektronische Daten] [Rupert Frank, Elliott Lieb, Robert Seiringer, Lawrence Thomas] 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 $\sqrt{\alpha}$, and with each other by Coulomb repulsion of strengthU. 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 onN. The same results are shown to hold for the Pekar-Tomasevich model. The author(s, 2011 Frank Rupert Department of Mathematics, Princeton University, Washington Road, 08544, Princeton, NJ, USA aut Lieb Elliott Departments of Mathematics and Physics, Princeton University, P.O. Box 708, 08544, Princeton, NJ, USA aut Seiringer Robert Department of Physics, Princeton University, P.O. Box 708, 08544, Princeton, NJ, USA aut Thomas Lawrence Department of Mathematics, University of Virginia, 22904, Charlottesville, VA, USA aut Publications mathématiques de l'IHÉS Springer-Verlag 113/1(2011-06-01), 39-67 0073-8301 113:1<39 2011 113 10240 https://doi.org/10.1007/s10240-011-0031-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10240-011-0031-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Frank Rupert Department of Mathematics, Princeton University, Washington Road, 08544, Princeton, NJ, USA aut NATIONALLICENCE 700 1- Lieb Elliott Departments of Mathematics and Physics, Princeton University, P.O. Box 708, 08544, Princeton, NJ, USA aut NATIONALLICENCE 700 1- Seiringer Robert Department of Physics, Princeton University, P.O. Box 708, 08544, Princeton, NJ, USA aut NATIONALLICENCE 700 1- Thomas Lawrence Department of Mathematics, University of Virginia, 22904, Charlottesville, VA, USA aut NATIONALLICENCE 773 0- Publications mathématiques de l'IHÉS Springer-Verlag 113/1(2011-06-01), 39-67 0073-8301 113:1<39 2011 113 10240 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer