[{"date_published":"2008-05-01T00:00:00Z","publist_id":"4551","intvolume":" 279","status":"public","_id":"2374","type":"journal_article","date_updated":"2021-01-12T06:57:06Z","publication":"Communications in Mathematical Physics","month":"05","extern":1,"date_created":"2018-12-11T11:57:17Z","dini_type":"doc-type:article","citation":{"short":"R. Seiringer, Communications in Mathematical Physics 279 (2008) 595–636.","apa":"Seiringer, R. (2008). Free energy of a dilute Bose gas: Lower bound. *Communications in Mathematical Physics*. Springer. https://doi.org/10.1007/s00220-008-0428-2","mla":"Seiringer, Robert. “Free Energy of a Dilute Bose Gas: Lower Bound.” *Communications in Mathematical Physics*, vol. 279, no. 3, Springer, 2008, pp. 595–636, doi:10.1007/s00220-008-0428-2.","ieee":"R. Seiringer, “Free energy of a dilute Bose gas: Lower bound,” *Communications in Mathematical Physics*, vol. 279, no. 3. Springer, pp. 595–636, 2008.","chicago":"Seiringer, Robert. “Free Energy of a Dilute Bose Gas: Lower Bound.” *Communications in Mathematical Physics*. Springer, 2008. https://doi.org/10.1007/s00220-008-0428-2.","ista":"Seiringer R. 2008. Free energy of a dilute Bose gas: Lower bound. Communications in Mathematical Physics. 279(3), 595–636."},"publication_status":"published","abstract":[{"lang":"eng"}],"day":"01","dc":{"description":["A lower bound is derived on the free energy (per unit volume) of a homogeneous Bose gas at density Q and temperature T. In the dilute regime, i.e., when a3 1, where a denotes the scattering length of the pair-interaction potential, our bound differs to leading order from the expression for non-interacting particles by the term 4πa(2 2}-[ - c]2+). Here, c(T) denotes the critical density for Bose-Einstein condensation (for the non-interacting gas), and [ · ]+ = max{ ·, 0} denotes the positive part. Our bound is uniform in the temperature up to temperatures of the order of the critical temperature, i.e., T ~ 2/3 or smaller. One of the key ingredients in the proof is the use of coherent states to extend the method introduced in [17] for estimating correlations to temperatures below the critical one."],"title":["Free energy of a dilute Bose gas: Lower bound"],"rights":["info:eu-repo/semantics/openAccess"],"publisher":["Springer"],"creator":["Robert Seiringer"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1007/s00220-008-0428-2"],"source":["Seiringer R. Free energy of a dilute Bose gas: Lower bound. *Communications in Mathematical Physics*. 2008;279(3):595-636. doi:10.1007/s00220-008-0428-2"],"identifier":["https://research-explorer.ista.ac.at/record/2374"],"date":["2008"],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"]},"volume":279,"quality_controlled":0,"uri_base":"https://research-explorer.ista.ac.at","main_file_link":[{"url":"http://arxiv.org/abs/math-ph/0608069","open_access":"1"}],"issue":"3","page":"595 - 636","author":[{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"oa":1}]