Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional
Lieb É, Seiringer R, Yngvason J. 2000. Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional. Physical Review A - Atomic, Molecular, and Optical Physics. 61(4), 436021–4360213.
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Author
Lieb, Élliott;
Seiringer, RobertISTA 
;
Yngvason, Jakob
;
Yngvason, JakobAbstract
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.
Publishing Year
Date Published
2000-04-01
Journal Title
Physical Review A - Atomic, Molecular, and Optical Physics
Publisher
American Physical Society
Volume
61
Issue
4
Page
436021 - 4360213
ISSN
IST-REx-ID
Cite this
Lieb É, Seiringer R, Yngvason J. Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional. Physical Review A - Atomic, Molecular, and Optical Physics. 2000;61(4):436021-4360213. doi:10.1103/PhysRevA.61.043602
Lieb, É., Seiringer, R., & Yngvason, J. (2000). Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional. Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society. https://doi.org/10.1103/PhysRevA.61.043602
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2000. https://doi.org/10.1103/PhysRevA.61.043602.
É. Lieb, R. Seiringer, and J. Yngvason, “Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 61, no. 4. American Physical Society, pp. 436021–4360213, 2000.
Lieb É, Seiringer R, Yngvason J. 2000. Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional. Physical Review A - Atomic, Molecular, and Optical Physics. 61(4), 436021–4360213.
Lieb, Élliott, et al. “Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 61, no. 4, American Physical Society, 2000, pp. 436021–4360213, doi:10.1103/PhysRevA.61.043602.
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