Derivation of effective evolution equations from many body quantum dynamics

zbMath1205.82043arXiv0910.3969MaRDI QIDQ3059382

Benjamin Schlein

Publication date: 8 December 2010

Full work available at URL: https://arxiv.org/abs/0910.3969

zbMATH Keywords

Bose-Einstein condensatesGross-Pitaevskii equationHartree equationmean field systems

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

Rate of convergence towards the Hartree-von Neumann limit in the mean-field regime ⋮ The Solution of the Hierarchy of Quantum Kinetic Equations with Delta Potential ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger

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