{"author":[{"orcid":"0000-0001-5366-9603","full_name":"László Erdös","first_name":"László","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Schlein","first_name":"Benjamin","full_name":"Schlein, Benjamin"},{"first_name":"Horng","last_name":"Yau","full_name":"Yau, Horng-Tzer"}],"title":"Ground-state energy of a low-density Bose gas: A second-order upper bound","date_created":"2018-12-11T11:59:26Z","publist_id":"4137","publisher":"American Physical Society","date_published":"2008-01-01T00:00:00Z","quality_controlled":0,"type":"journal_article","publication_status":"published","year":"2008","volume":78,"date_updated":"2021-01-12T06:59:29Z","intvolume":" 78","abstract":[{"lang":"eng","text":"Consider N bosons in a finite box Λ= [0,L]3⊂ R3 interacting via a two-body non-negative soft potential V=λ V with V fixed and λ>0 small. We will take the limit L,N→∞ by keeping the density =N/L3 fixed and small. We construct a variational state, which gives an upper bound on the ground-state energy per particle ε, ε≤4πa [1+ (128/15π) (a3) 1/2 Sλ] +O (2 ln ), as →0, with a constant satisfying 1≤ Sλ ≤1+Cλ. Here a is the scattering length of V and thus depends on λ. In comparison, the prediction by Lee and Yang [Phys. Rev. 105, 1119 (1957)] and Lee, Huang, and Yang [Phys. Rev. 106, 1135 (1957)] asserts that Sλ =1 independent of λ."}],"status":"public","doi":"10.1103/PhysRevA.78.053627","month":"01","citation":{"mla":"Erdös, László, et al. “Ground-State Energy of a Low-Density Bose Gas: A Second-Order Upper Bound.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 78, no. 5, American Physical Society, 2008, doi:10.1103/PhysRevA.78.053627.","ama":"Erdös L, Schlein B, Yau H. Ground-state energy of a low-density Bose gas: A second-order upper bound. Physical Review A - Atomic, Molecular, and Optical Physics. 2008;78(5). doi:10.1103/PhysRevA.78.053627","short":"L. Erdös, B. Schlein, H. Yau, Physical Review A - Atomic, Molecular, and Optical Physics 78 (2008).","chicago":"Erdös, László, Benjamin Schlein, and Horng Yau. “Ground-State Energy of a Low-Density Bose Gas: A Second-Order Upper Bound.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2008. https://doi.org/10.1103/PhysRevA.78.053627.","ista":"Erdös L, Schlein B, Yau H. 2008. Ground-state energy of a low-density Bose gas: A second-order upper bound. Physical Review A - Atomic, Molecular, and Optical Physics. 78(5).","ieee":"L. Erdös, B. Schlein, and H. Yau, “Ground-state energy of a low-density Bose gas: A second-order upper bound,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 78, no. 5. American Physical Society, 2008.","apa":"Erdös, L., Schlein, B., & Yau, H. (2008). Ground-state energy of a low-density Bose gas: A second-order upper bound. Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society. https://doi.org/10.1103/PhysRevA.78.053627"},"publication":"Physical Review A - Atomic, Molecular, and Optical Physics","_id":"2755","day":"01","extern":1,"issue":"5"}