On the ground state energy of the delta-function Bose gas
- Author(s): Tracy, Craig A.
- Widom, Harold
- et al.
Published Web Locationhttps://arxiv.org/pdf/1601.04677.pdf
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.