{"language":[{"iso":"eng"}],"oa":1,"publisher":"AIP Publishing","year":"2017","volume":58,"day":"01","external_id":{"isi":["000409197200015"]},"publication_status":"published","issue":"8","doi":"10.1063/1.4996580","publist_id":"6531","_id":"912","publication":" Journal of Mathematical Physics","date_updated":"2024-02-28T13:07:56Z","main_file_link":[{"url":"https://arxiv.org/abs/1703.04616","open_access":"1"}],"article_number":"081901","date_created":"2018-12-11T11:49:10Z","oa_version":"Submitted Version","date_published":"2017-08-01T00:00:00Z","article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","type":"journal_article","publication_identifier":{"issn":["00222488"]},"month":"08","ec_funded":1,"status":"public","title":"A lower bound for the BCS functional with boundary conditions at infinity","department":[{"_id":"RoSe"}],"isi":1,"author":[{"first_name":"Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas","last_name":"Deuchert"}],"citation":{"ista":"Deuchert A. 2017. A lower bound for the BCS functional with boundary conditions at infinity.  Journal of Mathematical Physics. 58(8), 081901.","short":"A. Deuchert,  Journal of Mathematical Physics 58 (2017).","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>","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>.","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>.","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>"},"intvolume":"        58","abstract":[{"lang":"eng","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"}],"project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"scopus_import":"1","quality_controlled":"1"}