# On the ground state energy of the delta-function Bose gas

Research paper by Craig A. Tracy, Harold Widom

Indexed on: 06 May '16Published on: 06 May '16Published in: Mathematical Physics

#### Abstract

The weak coupling asymptotics, to order $(c/\rho)^2$, of the ground state energy of the delta-function Bose gasmis derived. Here $2c\ge 0$ is the delta-function potential amplitude and $\rho$ the density of the gas in the thermodynamic limit. The analysis uses the electrostatic interpretation of the Lieb-Liniger integral equation.