{"publisher":"American Physical Society","month":"01","intvolume":"        78","extern":1,"publication_status":"published","title":"Ground-state energy of a low-density Bose gas: A second-order upper bound","publist_id":"4137","issue":"5","date_published":"2008-01-01T00:00:00Z","day":"01","date_updated":"2021-01-12T06:59:29Z","year":"2008","status":"public","publication":"Physical Review A - Atomic, Molecular, and Optical Physics","doi":"10.1103/PhysRevA.78.053627","type":"journal_article","citation":{"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>.","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).","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>","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).","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>."},"date_created":"2018-12-11T11:59:26Z","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."}],"author":[{"orcid":"0000-0001-5366-9603","first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"László Erdös","last_name":"Erdös"},{"last_name":"Schlein","full_name":"Schlein, Benjamin","first_name":"Benjamin"},{"first_name":"Horng","full_name":"Yau, Horng-Tzer","last_name":"Yau"}],"volume":78,"_id":"2755","quality_controlled":0}