On canonical variables for integrable models of magnets
    
    
  
  
  
      
      
      
        
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 20, Tome 347 (2007), pp. 117-143
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			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–Lifschitz magnet, and Hamiltonians and topological
charges are calculated for several known solutions of the
Ishimori model.
			
            
            
            
          
        
      @article{ZNSL_2007_347_a7,
     author = {E. Sh. Gutshabash},
     title = {On canonical variables for integrable models of magnets},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {117--143},
     publisher = {mathdoc},
     volume = {347},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2007_347_a7/}
}
                      
                      
                    E. Sh. Gutshabash. On canonical variables for integrable models of magnets. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 20, Tome 347 (2007), pp. 117-143. http://geodesic.mathdoc.fr/item/ZNSL_2007_347_a7/