Approximation of a two-dimensional Gross-Pitaevskii equation with a periodic potential in the tight-binding limit

DOI10.1002/MANA.202300322MaRDI QIDQ6648877

Guido Schneider, Steffen Gilg

Publication date: 5 December 2024

Published in: Mathematische Nachrichten (Search for Journal in Brave)

zbMATH Keywords

error estimatesdiscrete NLS equation

Mathematics Subject Classification ID

Partial differential equations (35-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

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• A simple derivation of mean field limits for quantum systems
• Bounds on the tight-binding approximation for the Gross-Pitaevskii equation with a periodic potential
• Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems
• Justification of the lattice equation for a nonlinear elliptic problem with a periodic potential
• Semigroups of linear operators and applications to partial differential equations
• Semi-classical analysis for the Schrödinger operator and applications
• The bound state of weakly coupled Schrödinger operators in one and two dimensions
• The finite element method in anisotropic Sobolev spaces
• Exponential times in the one-dimensional Gross-Pitaevskii equation with multiple well potential
• Validity of the NLS approximation for periodic quantum graphs
• Multiple wells in the semi-classical limit I
• ON MATHEMATICAL MODELS FOR BOSE–EINSTEIN CONDENSATES IN OPTICAL LATTICES
• Honeycomb Schrödinger Operators in the Strong Binding Regime
• On Tight‐Binding Approximations in Optical Lattices
• Extension of functions of several variables preserving differential properties

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