{"day":"01","external_id":{"arxiv":["1703.04616"],"isi":["000409197200015"]},"author":[{"orcid":"0000-0003-3146-6746","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas","last_name":"Deuchert","full_name":"Deuchert, Andreas"}],"year":"2017","issue":"8","type":"journal_article","oa_version":"Submitted Version","publist_id":"6531","ec_funded":1,"date_created":"2018-12-11T11:49:10Z","department":[{"_id":"RoSe"}],"citation":{"apa":"Deuchert, A. (2017). A lower bound for the BCS functional with boundary conditions at infinity. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/1.4996580","ista":"Deuchert A. 2017. A lower bound for the BCS functional with boundary conditions at infinity. Journal of Mathematical Physics. 58(8), 081901.","mla":"Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions at Infinity.” Journal of Mathematical Physics, vol. 58, no. 8, 081901, AIP Publishing, 2017, doi:10.1063/1.4996580.","chicago":"Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions at Infinity.” Journal of Mathematical Physics. AIP Publishing, 2017. https://doi.org/10.1063/1.4996580.","short":"A. Deuchert, Journal of Mathematical Physics 58 (2017).","ama":"Deuchert A. A lower bound for the BCS functional with boundary conditions at infinity. Journal of Mathematical Physics. 2017;58(8). doi:10.1063/1.4996580","ieee":"A. Deuchert, “A lower bound for the BCS functional with boundary conditions at infinity,” Journal of Mathematical Physics, vol. 58, no. 8. AIP Publishing, 2017."},"corr_author":"1","volume":58,"date_published":"2017-08-01T00:00:00Z","_id":"912","article_processing_charge":"No","isi":1,"status":"public","arxiv":1,"publication":" Journal of Mathematical Physics","publication_status":"published","title":"A lower bound for the BCS functional with boundary conditions at infinity","article_number":"081901","doi":"10.1063/1.4996580","oa":1,"language":[{"iso":"eng"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":" 58","publisher":"AIP Publishing","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"}],"scopus_import":"1","publication_identifier":{"issn":["0022-2488"]},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1703.04616"}],"date_updated":"2025-06-04T08:19:58Z","quality_controlled":"1","month":"08","project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}]}