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

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Abstract

It is well known that the ground state energy of a three dimensional dilute Bose gas in the thermodynamic limit is E=4π a ρ N when the particles interact via a non-negative, finite range, spherically symmetric, two-body potential. Here, N is the number of particles, ρ 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.

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  1. Department of Mathematics, Harvard University, Cambridge, MA, 02138, USA

    Ji Oon Lee

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  1. Ji Oon Lee
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Correspondence to Ji Oon Lee.

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Lee, J.O. Ground State Energy of Dilute Bose Gas in Small Negative Potential Case. J Stat Phys 134, 1–18 (2009). https://doi.org/10.1007/s10955-008-9661-5

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  • DOI: https://doi.org/10.1007/s10955-008-9661-5

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