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• W2097804575 abstract "We consider the ground state properties of an inhomogeneous two-dimensional Bose gas with a repulsive, short range pair interaction and an external confining potential. In the limit when the particle number $N$ is large but $barrho a^2$ is small, where $barrho$ is the average particle density and $a$ the scattering length, the ground state energy and density are rigorously shown to be given to leading order by a Gross-Pitaevskii (GP) energy functional with a coupling constant $gsim 1/|ln(barrho a^2)|$. In contrast to the 3D case the coupling constant depends on $N$ through the mean density. The GP energy per particle depends only on $Ng$. In 2D this parameter is typically so large that the gradient term in the GP energy functional is negligible and the simpler description by a Thomas-Fermi type functional is adequate." @default.
• W2097804575 created "2016-06-24" @default.
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• W2097804575 date "2001-11-01" @default.
• W2097804575 modified "2023-10-02" @default.
• W2097804575 title "A Rigorous Derivation¶of the Gross–Pitaevskii Energy Functional¶for a Two-dimensional Bose Gas" @default.
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• W2097804575 doi "https://doi.org/10.1007/s002200100533" @default.
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