{"user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","volume":154,"month":"01","date_published":"2014-01-01T00:00:00Z","oa":1,"publication_status":"published","quality_controlled":"1","abstract":[{"lang":"eng","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."}],"publisher":"Springer","author":[{"last_name":"Lieb","first_name":"Élliott","full_name":"Lieb, Élliott"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"issue":"1-2","year":"2014","oa_version":"Submitted Version","language":[{"iso":"eng"}],"page":"51 - 57","title":"Equivalence of two definitions of the effective mass of a polaron","type":"journal_article","extern":"1","intvolume":"       154","project":[{"name":"NSERC Postdoctoral fellowship","_id":"26450934-B435-11E9-9278-68D0E5697425"}],"citation":{"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.","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>.","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>","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>","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."},"doi":"10.1007/s10955-013-0791-z","publication":"Journal of Statistical Physics","_id":"2407","date_updated":"2021-01-12T06:57:18Z","status":"public","day":"01","date_created":"2018-12-11T11:57:29Z","main_file_link":[{"url":"http://arxiv.org/abs/1304.1780","open_access":"1"}],"publist_id":"4519"}