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On the Lee-Huang-Yang universal asymptotics for the ground state energy of a Bose gas in the dilute limit

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Solovej, Jan Phillip

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On the Lee-Huang-Yang universal asymptotics for the ground state energy of a Bose gas in the dilute limit
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In 1957 Lee, Huang, and Yang (LHY) predicted a universal expression for a two-term asymptotic formula for the ground state energy of a dilute Bose gas. The formula is universal in the sense that the two terms depend on the interaction potential only through its scattering length. In 2009 Yau and Yin proved an upper bound of the LHY form for a fairly large class of potentials. I will discuss recent joint work with Fournais complementing this by a corresponding lower bound establishing the LHY universality formula.