The difference between Schrödinger equation derived from Schrödinger map and Landau-Lifshitz equation

DOI10.1016/j.physleta.2011.11.003zbMath1255.81150OpenAlexW2040388564MaRDI QIDQ1933065

Gan-shan Yang

Publication date: 22 January 2013

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2011.11.003

zbMATH Keywords

blow upspherical harmonic maptwo-dimensional Landau-Lifshitz equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spherical harmonics (33C55) Blow-up in context of PDEs (35B44)

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Cites Work

• Some new results for the multidimensional Landau --Lifshitz equations
• Generalized Landau-Lifshitz systems and harmonic maps
• Concentration sets of the Landau-Lifshitz system and quasi-mean curvature flows
• Some exact solutions to multidimensional Landau-Lifshitz equation with uprush external field and anisotropy field
• Existence and uniqueness of smooth solution for system of ferromagnetic chain
• Non-constant stable solutions to Landau-Lifshitz equation
• The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps
• Limit behavior of solution for multi-dimensional Landau-Lifshitz equations with external magnetic field
• Blow up problem for Landau-Lifshitz equations in two dimensions
• Hausdorff measure of the singular set of Landau-Lifshitz equations with a nonlocal term
• On the continuous limit for a system of classical spins
• Partial regularity for the Landau-Lifshitz system
• Existence and stability of static solutions of the Landau-Lifshitz equation with multi-direct effective field
• On the Landau-Lifshitz equation in dimensions at most four
• Schrödinger maps
• Spherical cone symmetric families generated by Landau-Lifshitz equation and their evolution
• Existence of Partially Regular Solutions for Landau–Lifshitz Equations in ℝ³