Derivation of the 1d nonlinear Schrödinger equation from the 3d quantum many-body dynamics of strongly confined bosons
Author:
Affiliation:
1. Fachbereich Mathematik, Eberhard Karls Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany
Funder
Deutsche Forschungsgemeinschaft
Publisher
AIP Publishing
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
http://aip.scitation.org/doi/pdf/10.1063/1.5075514
Reference31 articles.
1. Rigorous Derivation of the Cubic NLS in Dimension One
2. The Nonlinear Schrödinger Equation with a Strongly Anisotropic Harmonic Potential
3. Quantitative Derivation of the Gross-Pitaevskii Equation
4. Derivation of the 1d Gross–Pitaevskii Equation from the 3d Quantum Many-Body Dynamics of Strongly Confined Bosons
5. On the Rigorous Derivation of the 2D Cubic Nonlinear Schrödinger Equation from 3D Quantum Many-Body Dynamics
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