The boundary energy of the Lieb-Liniger Bose gas in a hard-wall box is fixed by an exact integral equation, with new weak- and strong-coupling expansions that differ from the dark-soliton energy.
Ob- servation of a one-dimensional Tonks-Girardeau gas,
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Exact Results for the Boundary Energy of One-Dimensional Bosons
The boundary energy of the Lieb-Liniger Bose gas in a hard-wall box is fixed by an exact integral equation, with new weak- and strong-coupling expansions that differ from the dark-soliton energy.