{"_id":"912","month":"08","day":"01","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","quality_controlled":"1","article_number":"081901","ec_funded":1,"language":[{"iso":"eng"}],"isi":1,"publication_status":"published","date_updated":"2024-02-28T13:07:56Z","publist_id":"6531","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1703.04616"}],"date_created":"2018-12-11T11:49:10Z","oa":1,"abstract":[{"text":"We consider a many-body system of fermionic atoms interacting via a local pair potential and subject to an external potential within the framework of Bardeen-Cooper-Schrieffer (BCS) theory. We measure the free energy of the whole sample with respect to the free energy of a reference state which allows us to define a BCS functional with boundary conditions at infinity. Our main result is a lower bound for this energy functional in terms of expressions that typically appear in Ginzburg-Landau functionals.\r\n","lang":"eng"}],"publication_identifier":{"issn":["00222488"]},"publisher":"AIP Publishing","intvolume":"        58","author":[{"last_name":"Deuchert","full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas"}],"article_processing_charge":"No","external_id":{"isi":["000409197200015"]},"department":[{"_id":"RoSe"}],"title":"A lower bound for the BCS functional with boundary conditions at infinity","doi":"10.1063/1.4996580","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"oa_version":"Submitted Version","scopus_import":"1","issue":"8","status":"public","year":"2017","type":"journal_article","publication":" Journal of Mathematical Physics","citation":{"apa":"Deuchert, A. (2017). A lower bound for the BCS functional with boundary conditions at infinity. <i> Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/1.4996580\">https://doi.org/10.1063/1.4996580</a>","ieee":"A. Deuchert, “A lower bound for the BCS functional with boundary conditions at infinity,” <i> Journal of Mathematical Physics</i>, vol. 58, no. 8. AIP Publishing, 2017.","mla":"Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions at Infinity.” <i> Journal of Mathematical Physics</i>, vol. 58, no. 8, 081901, AIP Publishing, 2017, doi:<a href=\"https://doi.org/10.1063/1.4996580\">10.1063/1.4996580</a>.","chicago":"Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions at Infinity.” <i> Journal of Mathematical Physics</i>. AIP Publishing, 2017. <a href=\"https://doi.org/10.1063/1.4996580\">https://doi.org/10.1063/1.4996580</a>.","short":"A. Deuchert,  Journal of Mathematical Physics 58 (2017).","ista":"Deuchert A. 2017. A lower bound for the BCS functional with boundary conditions at infinity.  Journal of Mathematical Physics. 58(8), 081901.","ama":"Deuchert A. A lower bound for the BCS functional with boundary conditions at infinity. <i> Journal of Mathematical Physics</i>. 2017;58(8). doi:<a href=\"https://doi.org/10.1063/1.4996580\">10.1063/1.4996580</a>"},"date_published":"2017-08-01T00:00:00Z","volume":58}