Magnetization dynamics and geometry: coupled Möbius transformations

DOI10.1016/S0034-4877(18)30052-1zbMath1402.82024OpenAlexW2811114938MaRDI QIDQ1626197

Vladimir Jacimovic

Publication date: 27 November 2018

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(18)30052-1

zbMATH Keywords

magnetic fieldsRiccati equationLandau-Lifshitz equationspin systemMöbius transformationexchange interactions

Mathematics Subject Classification ID

Electro- and magnetostatics (78A30) Statistical mechanics of magnetic materials (82D40)

Cites Work

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• Continued fractions, discrete groups and complex dynamics
• PHASE OSCILLATORS WITH SINUSOIDAL COUPLING INTERPRETED IN TERMS OF PROJECTIVE GEOMETRY
• Integrability of a globally coupled oscillator array
• Towards a general solution of the inhomogeneous Bloch equation
• Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action
• Analytical solutions for two-level systems with damping

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