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Phys. Rev. Lett. 83, 3542–3545 (1999)

Time Evolution of Spin Waves

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Michael Moser
Justgasse 29/12/3/12, A-1210 Vienna, Austria

Alexander Prets
Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, A-1090 Vienna, Austria

Wolfgang L. Spitzer
Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark

Received 1 June 1999; published in the issue dated 25 October 1999

A rigorous derivation of macroscopic spin-wave equations is demonstrated. We introduce a macroscopic mean-field limit and derive the so-called Landau-Lifshitz equations for spin waves. We first discuss the ferromagnetic Heisenberg model at T = 0 and finally extend our analysis to general spin Hamiltonians for the same class of ferromagnetic ground states.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.83.3542
DOI:
10.1103/PhysRevLett.83.3542
PACS:
75.40.Gb, 05.70.Ln, 67.57.Lm