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math-ph2009★ 116 cited
The Second Order Upper Bound for the Ground Energy of a Bose Gas
Horng-Tzer Yau, Jun Yin
Consider bosons in a finite box interacting via a two-body smooth repulsive short range potential. We construct a variational state which gives…
math-ph2007★ 9 cited
Ground state energy of the low density Hubbard model
Robert Seiringer, Jun Yin
We derive a lower bound on the ground state energy of the Hubbard model for given value of the total spin. In combination with the upper bound derived previously by Giuliani, our r…