The Ground State Energy and Density of Interacting Bosons in a Trap
نویسندگان
چکیده
In the theoretical description of recent experiments with dilute Bose gases confined in external potentials the Gross-Pitaevskii equation plays an important role. Its status as an approximation for the quantum mechanical many-body ground state problem has recently been rigorously clarified. A summary of this work is presented here.
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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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.
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