Abstract:
The first three terms in the asymptotics of the solution of the Lieb–Lieniger equation
in the exact theory of one-dimensional Bose-gas with point interaction are founds
in the analytical form in the weak coupling limit. The asymptotical formulas for the
energy density, particle number density and pressure coincide with the corresponding
formulas obtained in the framework of perturbation theory in the hydrodynamical action
method, which is based on continual integral.
Citation:
V. N. Popov, “Theory of one-dimensional Bose gas with point interaction”, TMF, 30:3 (1977), 346–352; Theoret. and Math. Phys., 30:3 (1977), 222–226
\Bibitem{Pop77}
\by V.~N.~Popov
\paper Theory of one-dimensional Bose gas with point interaction
\jour TMF
\yr 1977
\vol 30
\issue 3
\pages 346--352
\mathnet{http://mi.mathnet.ru/tmf2805}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=503307}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 30
\issue 3
\pages 222--226
\crossref{https://doi.org/10.1007/BF01036714}
Linking options:
https://www.mathnet.ru/eng/tmf2805
https://www.mathnet.ru/eng/tmf/v30/i3/p346
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