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