{"author":[{"full_name":"László Erdös","first_name":"László","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös"},{"full_name":"Schlein, Benjamin","first_name":"Benjamin","last_name":"Schlein"},{"first_name":"Horng","full_name":"Yau, Horng-Tzer","last_name":"Yau"}],"extern":1,"publist_id":"4137","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&gt;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","date_created":"2018-12-11T11:59:26Z","intvolume":"        78","publication":"Physical Review A - Atomic, Molecular, and Optical Physics","date_updated":"2021-01-12T06:59:29Z","quality_controlled":0,"date_published":"2008-01-01T00:00:00Z","year":"2008","day":"01","month":"01","issue":"5","title":"Ground-state energy of a low-density Bose gas: A second-order upper bound","_id":"2755","doi":"10.1103/PhysRevA.78.053627","citation":{"apa":"Erdös, L., Schlein, B., &#38; Yau, H. (2008). Ground-state energy of a low-density Bose gas: A second-order upper bound. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevA.78.053627\">https://doi.org/10.1103/PhysRevA.78.053627</a>","short":"L. Erdös, B. Schlein, H. Yau, Physical Review A - Atomic, Molecular, and Optical Physics 78 (2008).","mla":"Erdös, László, et al. “Ground-State Energy of a Low-Density Bose Gas: A Second-Order Upper Bound.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 78, no. 5, American Physical Society, 2008, doi:<a href=\"https://doi.org/10.1103/PhysRevA.78.053627\">10.1103/PhysRevA.78.053627</a>.","ieee":"L. Erdös, B. Schlein, and H. Yau, “Ground-state energy of a low-density Bose gas: A second-order upper bound,” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 78, no. 5. American Physical Society, 2008.","chicago":"Erdös, László, Benjamin Schlein, and Horng Yau. “Ground-State Energy of a Low-Density Bose Gas: A Second-Order Upper Bound.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society, 2008. <a href=\"https://doi.org/10.1103/PhysRevA.78.053627\">https://doi.org/10.1103/PhysRevA.78.053627</a>.","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).","ama":"Erdös L, Schlein B, Yau H. Ground-state energy of a low-density Bose gas: A second-order upper bound. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. 2008;78(5). doi:<a href=\"https://doi.org/10.1103/PhysRevA.78.053627\">10.1103/PhysRevA.78.053627</a>"},"type":"journal_article","publisher":"American Physical Society","publication_status":"published","volume":78}