{"quality_controlled":"1","day":"01","date_updated":"2021-01-12T06:57:18Z","volume":154,"abstract":[{"text":"Two definitions of the effective mass of a particle interacting with a quantum field, such as a polaron, are considered and shown to be equal in models similar to the Fröhlich polaron model. These are: 1. the mass defined by the low momentum energy E(P)≈E(0)+P2/2 M of the translation invariant system constrained to have momentum P and 2. the mass M of a simple particle in an arbitrary slowly varying external potential, V, described by the nonrelativistic Schrödinger equation, whose ground state energy equals that of the combined particle/field system in a bound state in the same V.","lang":"eng"}],"publication":"Journal of Statistical Physics","_id":"2407","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1304.1780"}],"oa_version":"Submitted Version","title":"Equivalence of two definitions of the effective mass of a polaron","oa":1,"project":[{"_id":"26450934-B435-11E9-9278-68D0E5697425","name":"NSERC Postdoctoral fellowship"}],"date_created":"2018-12-11T11:57:29Z","page":"51 - 57","publication_status":"published","citation":{"chicago":"Lieb, Élliott, and Robert Seiringer. “Equivalence of Two Definitions of the Effective Mass of a Polaron.” <i>Journal of Statistical Physics</i>. Springer, 2014. <a href=\"https://doi.org/10.1007/s10955-013-0791-z\">https://doi.org/10.1007/s10955-013-0791-z</a>.","ama":"Lieb É, Seiringer R. Equivalence of two definitions of the effective mass of a polaron. <i>Journal of Statistical Physics</i>. 2014;154(1-2):51-57. doi:<a href=\"https://doi.org/10.1007/s10955-013-0791-z\">10.1007/s10955-013-0791-z</a>","short":"É. Lieb, R. Seiringer, Journal of Statistical Physics 154 (2014) 51–57.","ista":"Lieb É, Seiringer R. 2014. Equivalence of two definitions of the effective mass of a polaron. Journal of Statistical Physics. 154(1–2), 51–57.","ieee":"É. Lieb and R. Seiringer, “Equivalence of two definitions of the effective mass of a polaron,” <i>Journal of Statistical Physics</i>, vol. 154, no. 1–2. Springer, pp. 51–57, 2014.","mla":"Lieb, Élliott, and Robert Seiringer. “Equivalence of Two Definitions of the Effective Mass of a Polaron.” <i>Journal of Statistical Physics</i>, vol. 154, no. 1–2, Springer, 2014, pp. 51–57, doi:<a href=\"https://doi.org/10.1007/s10955-013-0791-z\">10.1007/s10955-013-0791-z</a>.","apa":"Lieb, É., &#38; Seiringer, R. (2014). Equivalence of two definitions of the effective mass of a polaron. <i>Journal of Statistical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s10955-013-0791-z\">https://doi.org/10.1007/s10955-013-0791-z</a>"},"author":[{"first_name":"Élliott","last_name":"Lieb","full_name":"Lieb, Élliott"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"issue":"1-2","date_published":"2014-01-01T00:00:00Z","type":"journal_article","month":"01","language":[{"iso":"eng"}],"intvolume":"       154","publisher":"Springer","doi":"10.1007/s10955-013-0791-z","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","extern":"1","year":"2014","publist_id":"4519","status":"public"}