Journal
EUROPEAN PHYSICAL JOURNAL B
Volume 88, Issue 3, Pages -Publisher
SPRINGER
DOI: 10.1140/epjb/e2015-50832-0
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Funding
- Deutsche Forschungsgemeinschaft [SFB 668]
- Cluster of Excellence Nanospintronics
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The classical Landau-Lifshitz equation has been derived from quantum mechanics. Starting point is the assumption of a non-Hermitian Hamilton operator to take the energy dissipation into account. The corresponding quantum mechanical spin dynamics along with the time dependent Schrodinger, Liouville and Heisenberg equation has been described and the similarities and differences between classical and quantum mechanical spin dynamics have been discussed. Furthermore, a time dependent Schrodinger equation corresponding to the classical Landau-Lifshitz-Gilbert equation and two ways to include temperature into the quantum mechanical spin dynamics have been proposed.
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