Winding Number - Winding Number and Heisenberg Ferromagnet Equations

Winding Number and Heisenberg Ferromagnet Equations

Finally, note that the winding number is closely related with the (2 + 1)-dimensional continuous Heisenberg ferromagnet equations and its integrable extensions: the Ishimori equation etc. Solutions of the last equations are classified by the winding number or topological charge (topological invariant and/or topological quantum number).

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