The Ground State Energy of a Dilute Two-dimensional Bose Gas
| dc.creator | Lieb, Elliott H. | |
| dc.creator | Yngvason, Jakob | |
| dc.date | 2000-02-06 | |
| dc.date.accessioned | 2026-07-07T04:27:38Z | |
| dc.date.available | 2026-07-07T04:27:38Z | |
| dc.description | The ground state energy per particle of a dilute, homogeneous, two-dimensional Bose gas, in the thermodynamic limit is shown rigorously to be $E_0/N = (2π\hbar^2ρ/m){|\ln (ρa^2)|^{-1}}$, to leading order, with a relative error at most ${\rm O} (|\ln (ρa^2)|^{-1/5})$. Here $N$ is the number of particles, $ρ=N/V$ is the particle density and $a$ is the scattering length of the two-body potential. We assume that the two-body potential is short range and nonnegative. The amusing feature of this result is that, in contrast to the three-dimensional case, the energy, $E_0$ is not simply $N(N-1)/2$ times the energy of two particles in a large box of volume (area, really) $V$. It is much larger. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0002014 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0002014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56489 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Condensed Matter | |
| dc.subject | 81V70, 35Q55, 46N50 | |
| dc.title | The Ground State Energy of a Dilute Two-dimensional Bose Gas | |
| dc.type | text |