Rigorous derivation of the Gross-Pitaevskii equation

L. Erdös, B. Schlein, H. Yau, Physical Review Letters 98 (2007).

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Abstract
The time-dependent Gross-Pitaevskii equation describes the dynamics of initially trapped Bose-Einstein condensates. We present a rigorous proof of this fact starting from a many-body bosonic Schrödinger equation with a short-scale repulsive interaction in the dilute limit. Our proof shows the persistence of an explicit short-scale correlation structure in the condensate.
Publishing Year
Date Published
2007-01-26
Journal Title
Physical Review Letters
Volume
98
Issue
4
IST-REx-ID

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Erdös L, Schlein B, Yau H. Rigorous derivation of the Gross-Pitaevskii equation. Physical Review Letters. 2007;98(4). doi:10.1103/PhysRevLett.98.040404
Erdös, L., Schlein, B., & Yau, H. (2007). Rigorous derivation of the Gross-Pitaevskii equation. Physical Review Letters, 98(4). https://doi.org/10.1103/PhysRevLett.98.040404
Erdös, László, Benjamin Schlein, and Horng Yau. “Rigorous Derivation of the Gross-Pitaevskii Equation.” Physical Review Letters 98, no. 4 (2007). https://doi.org/10.1103/PhysRevLett.98.040404.
L. Erdös, B. Schlein, and H. Yau, “Rigorous derivation of the Gross-Pitaevskii equation,” Physical Review Letters, vol. 98, no. 4, 2007.
Erdös L, Schlein B, Yau H. 2007. Rigorous derivation of the Gross-Pitaevskii equation. Physical Review Letters. 98(4).
Erdös, László, et al. “Rigorous Derivation of the Gross-Pitaevskii Equation.” Physical Review Letters, vol. 98, no. 4, American Physical Society, 2007, doi:10.1103/PhysRevLett.98.040404.

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