{"publisher":"World Scientific Publishing","year":"2011","oa":1,"publist_id":"4607","date_created":"2018-12-11T11:56:58Z","quality_controlled":0,"title":"Binding, stability, and non-binding of multi-polaron systems","status":"public","month":"05","date_updated":"2021-01-12T06:56:45Z","type":"conference","page":"21 - 32","doi":"10.1142/9789814350365_0002","day":"26","author":[{"last_name":"Frank","first_name":"Rupert","full_name":"Frank, Rupert L"},{"last_name":"Lieb","first_name":"Élliott","full_name":"Lieb, Élliott H"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","first_name":"Robert","last_name":"Seiringer"},{"full_name":"Thomas, Lawrence E","first_name":"Lawrence","last_name":"Thomas"}],"_id":"2320","main_file_link":[{"url":"http://arxiv.org/abs/1010.0737","open_access":"1"}],"abstract":[{"text":"The binding of polarons, or its absence, is an old and subtle topic. After defining the model we state some recent theorems of ours. First, the transition from many-body collapse to the existence of a thermodynamic limit for N polarons occurs precisely at U = 2α, where U is the electronic Coulomb repulsion and α is the polaron coupling constant. Second, if U is large enough, there is no multi-polaron binding of any kind. We also discuss the Pekar-Tomasevich approximation to the ground state energy, which is valid for large α. Finally, we derive exact results, not reported before, about the one-dimensional toy model introduced by E. P. Gross.","lang":"eng"}],"conference":{"name":"QMath: Mathematical Results in Quantum Physics"},"extern":1,"publication_status":"published","date_published":"2011-05-26T00:00:00Z","citation":{"short":"R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2011, pp. 21–32.","apa":"Frank, R., Lieb, É., Seiringer, R., &#38; Thomas, L. (2011). Binding, stability, and non-binding of multi-polaron systems (pp. 21–32). Presented at the QMath: Mathematical Results in Quantum Physics, World Scientific Publishing. <a href=\"https://doi.org/10.1142/9789814350365_0002\">https://doi.org/10.1142/9789814350365_0002</a>","ista":"Frank R, Lieb É, Seiringer R, Thomas L. 2011. Binding, stability, and non-binding of multi-polaron systems. QMath: Mathematical Results in Quantum Physics, 21–32.","chicago":"Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Binding, Stability, and Non-Binding of Multi-Polaron Systems,” 21–32. World Scientific Publishing, 2011. <a href=\"https://doi.org/10.1142/9789814350365_0002\">https://doi.org/10.1142/9789814350365_0002</a>.","ama":"Frank R, Lieb É, Seiringer R, Thomas L. Binding, stability, and non-binding of multi-polaron systems. In: World Scientific Publishing; 2011:21-32. doi:<a href=\"https://doi.org/10.1142/9789814350365_0002\">10.1142/9789814350365_0002</a>","ieee":"R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Binding, stability, and non-binding of multi-polaron systems,” presented at the QMath: Mathematical Results in Quantum Physics, 2011, pp. 21–32.","mla":"Frank, Rupert, et al. <i>Binding, Stability, and Non-Binding of Multi-Polaron Systems</i>. World Scientific Publishing, 2011, pp. 21–32, doi:<a href=\"https://doi.org/10.1142/9789814350365_0002\">10.1142/9789814350365_0002</a>."}}