Publication: Quantitative erivation of the Gross-Pitaevskii equation
Quantitative erivation of the Gross-Pitaevskii equation
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Benedikter, N., de Oliveira, G., & Schlein, B. (2015). Quantitative erivation of the Gross-Pitaevskii equation. Communications on Pure and Applied Mathematics, 68, 1399–1482. https://doi.org/10.1002/cpa.21542
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Starting from first-principle many-body quantum dynamics, we show that the dynamics of Bose-Einstein condensates can be approximated by the time-dependent nonlinear Gross-Pitaevskii equation, giving a bound on the rate of the convergence. Initial data are constructed on the bosonic Fock space applying an appropriate Bogoliubov transformation on a coherent state with expected number of particles $\mathit{N}$
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- Benedikter, Niels
- de Oliveira, Gustavo
- Schlein, Benjamin
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Benedikter, N., de Oliveira, G., & Schlein, B. (2015). Quantitative erivation of the Gross-Pitaevskii equation. Communications on Pure and Applied Mathematics, 68, 1399–1482. https://doi.org/10.1002/cpa.21542
