On canonical variables in integrable models of magnets
| Autor: | E. Sh. Gutshabash |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
Statistics and Probability
Nonlinear Sciences - Exactly Solvable and Integrable Systems Integrable system Applied Mathematics General Mathematics Mathematical analysis FOS: Physical sciences Stereographic projection Stability (probability) Canonical variable Magnet Bibliography Exactly Solvable and Integrable Systems (nlin.SI) Mathematical physics Mathematics |
| Zdroj: | Journal of Mathematical Sciences. 151:2865-2879 |
| ISSN: | 1573-8795 1072-3374 |
| DOI: | 10.1007/s10958-008-9003-9 |
| Popis: | Three integrable models - the deformed Heisenberg, Landau - Lifschits and Ishimori magnets are written in terms of the stereographic projection. The Hamiltonians of these models are obtained and certain questions related to the existence of exact solutions are studied. In particular, the stability of solitions is studied for the Heisenberg marnet, simplest stationary solutions are obtained for the Landau - Lifschits magnet, and Hamiltonians and topological charges are calculated for several known solutions of the Ishimori model 20 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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