116 citations · 151 across the 3 of their papers we have counts for
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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…
math-ph2007★ 26 cited
The Lieb-Liniger Model as a Limit of Dilute Bosons in Three Dimensions
Robert Seiringer, Jun Yin
We show that the Lieb-Liniger model for one-dimensional bosons with repulsive -function interaction can be rigorously derived via a scaling limit from a dilute three-dimensional…