Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional
نویسندگان
چکیده
The ground state properties of interacting Bose gases in external potentials, as considered in recent experiments, are usually described by means of the Gross-Pitaevskii energy functional. We present here the first proof of the asymptotic exactness of this approximation for the ground state energy and particle density of a dilute Bose gas with a positive interaction.
منابع مشابه
Institute for Mathematical Physics Bosons in a Trap: a Rigorous Derivation of the Gross{pitaevskii Energy Functional Bosons in a Trap: a Rigorous Derivation of the Gross-pitaevskii Energy Functional
The ground state properties of interacting Bose gases in external potentials, as considered in recent experiments, are usually described by means of the Gross-Pitaevskii energy functional. We present here the rst proof of the asymptotic exactness of this approximation for the ground state energy and particle density of a dilute Bose gas with a positive interaction.
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