most citedDerivation of the time dependent Gross-Pitaevskii equation for a class of non purely positive potentials

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math-ph2018★ 8 cited

Derivation of the time dependent Gross-Pitaevskii equation for a class of non purely positive potentials

Maximilian Jeblick, Peter Pickl

We present a microscopic derivation of the time-dependent Gross-Pitaevskii equation starting from an interacting N-particle system of Bosons. We prove convergence of the reduced de…