17 citations · 41 across the 3 of their papers we have counts for
3 papers
math-ph2000★ 14 cited
The Ground State Energy of a Dilute Two-dimensional Bose Gas
Elliott H. Lieb, Jakob Yngvason
The ground state energy per particle of a dilute, homogeneous, two-dimensional Bose gas, in the thermodynamic limit is shown rigorously to be $E_0/N = (2π\hbar^2ρ/m){|\ln (ρa^2)|^{…
math-ph1999★ 17 cited
The Ground State Energy and density of Interacting Bosons in a Trap
Elliott H. Lieb, Robert Seiringer, Jakob Yngvason
In the theoretical description of recent experiments with dilute Bose gases confined in external potentials the Gross-Pitaevskii equation plays an important role. Its status as an…
math-ph1999★ 10 cited
The Ground State Energy of a Dilute Bose Gas
Elliott H. Lieb, Jakob Yngvason
According to a formula that was put forward many decades ago the ground state energy per particle of an interacting, dilute Bose gas at density is to leading or…