A lower bound on the ground state energy of dilute Bose gas

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Consider an N-boson system interacting via a two-body repulsive short-range potential V in a three dimensional box Lambda of side length L. We take the limit N, L. -> infinity while keeping the density rho=N/L(3) fixed and small. We prove a new lower bound for its ground state energy per particle, E(N, Lambda) /N >= 4 pi a rho[1 - O(rho(1/3)vertical bar log rho vertical bar(3))], as rho -> 0, where a is the scattering length of V. (C) 2010 American Institute of Physics. [doi:10.1063/1.3376639]
Publisher
AMER INST PHYSICS
Issue Date
2010-05
Language
English
Article Type
Article
Keywords

QUANTUM STATISTICAL MECHANICS; MANY-BODY PROBLEM; ONE-COMPONENT; HARD SPHERES

Citation

JOURNAL OF MATHEMATICAL PHYSICS, v.51, no.5

ISSN
0022-2488
DOI
10.1063/1.3376639
URI
http://hdl.handle.net/10203/96695
Appears in Collection
MA-Journal Papers(저널논문)
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