Geodesic
One-magnon systems in an isotropic non-Heisenberg ferromagnetic impurity model
Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 1, pp. 83-92

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We consider a one-magnon system in an isotropic non-Heisenberg impurity model with an arbitrary spin and investigate the spectrum and the localized impurity states of the system on the $\nu$-dimensional integer lattice $Z^{\nu}$. We show that there are at most three types of localized impurity states (not counting the degeneracy multiplicities of their energy levels) in this system. We find the domains of these states and calculate the degeneracy multiplicities of their energy levels.
Keywords: impurity states, lattice, interaction, creation operator, annihilation operator. 
@article{TMF_2005_142_1_a8,
     author = {S. M. Tashpulatov},
     title = {One-magnon systems in an isotropic {non-Heisenberg} ferromagnetic impurity model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {83--92},
     publisher = {mathdoc},
     volume = {142},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_142_1_a8/}
}
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S. M. Tashpulatov. One-magnon systems in an isotropic non-Heisenberg ferromagnetic impurity model. Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 1, pp. 83-92. http://geodesic.mathdoc.fr/item/TMF_2005_142_1_a8/