Ground State Energy of Dilute Bose Gas in Small Negative Potential Case

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It is well known that the ground state energy of a three dimensional dilute Bose gas in the thermodynamic limit is E=4 pi a rho N when the particles interact via a non-negative, finite range, spherically symmetric, two-body potential. Here, N is the number of particles, rho is the density of the gas, and a is the scattering length of the potential. In this paper, we prove the same result without the non-negativity condition on the potential, provided the negative part is small.
Publisher
SPRINGER
Issue Date
2009
Language
English
Article Type
Article
Citation

JOURNAL OF STATISTICAL PHYSICS, v.134, no.1, pp.1 - 18

ISSN
0022-4715
DOI
10.1007/s10955-008-9661-5
URI
http://hdl.handle.net/10203/94922
Appears in Collection
MA-Journal Papers(저널논문)
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