Ground State Energy of the Low Density Bose Gas
Lieb, Elliott H. ; Yngvason, Jakob
arXiv, 9712138 / Harvested from arXiv
Text on arXiv
Now that the properties of low temperature Bose gases at low density, $\rho$, can be examined experimentally it is appropriate to revisit some of the formulas deduced by many authors 4-5 decades ago. One of these is that the leading term in the energy/particle is $2\pi \hbar^2 \rho a/m$, where $a$ is the scattering length. Owing to the delicate and peculiar nature of bosonic correlations, four decades of research have failed to establish this plausible formula rigorously. The only known lower bound for the energy was found by Dyson in 1957, but it was 14 times too small. The correct bound is proved here.
Publié le : 1997-12-12
Classification:  Condensed Matter - Soft Condensed Matter,  Condensed Matter - Statistical Mechanics,  Mathematical Physics 
@article{9712138,
     author = {Lieb, Elliott H. and Yngvason, Jakob},
     title = {Ground State Energy of the Low Density Bose Gas},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9712138}
}

Lieb, Elliott H.; Yngvason, Jakob. Ground State Energy of the Low Density Bose Gas. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9712138/