Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional
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- 6 March 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 61 (4) , 043602
- https://doi.org/10.1103/physreva.61.043602
Abstract
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 a rigorous 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.Keywords
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This publication has 11 references indexed in Scilit:
- Theory of Bose-Einstein condensation in trapped gasesReviews of Modern Physics, 1999
- Ground State Energy of the Low Density Bose GasPhysical Review Letters, 1998
- Thomas-fermi and related theories of atoms and moleculesReviews of Modern Physics, 1981
- Two geometrical properties of solutions of semilinear problemsApplicable Analysis, 1981
- Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas. III. Application to the One-Dimensional ModelPhysical Review B, 1964
- Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas. II. Charged Bose Gas at High DensityPhysical Review B, 1964
- Simplified Approach to the Ground-State Energy of an Imperfect Bose GasPhysical Review B, 1963
- Hydrodynamics of a Superfluid CondensateJournal of Mathematical Physics, 1963
- Structure of a quantized vortex in boson systemsIl Nuovo Cimento (1869-1876), 1961
- Ground-State Energy of a Hard-Sphere GasPhysical Review B, 1957