Geodesic
Spectrum of the~energy operator of two-magnon systems in the~isotropic Heisenberg ferromagnet model with impurity
Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 3, pp. 464-472

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider a two-magnon system in the isotropic Heisenberg ferromagnet model with impurity on a $\nu$-dimensional lattice $\mathbb Z^{\nu}$. We establish that the essential spectrum of the system consists of the union of at most four intervals. We obtain the lower and upper estimates for the number of three-particle bound states of the system.
Keywords: essential spectrum, discrete spectrum, local impurity state, bound state, Heisenberg model, two-magnon system in the impurity model. 
@article{TMF_2010_164_3_a16,
     author = {S. M. Tashpulatov},
     title = {Spectrum of the~energy operator of two-magnon systems in the~isotropic {Heisenberg} ferromagnet model with impurity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {464--472},
     publisher = {mathdoc},
     volume = {164},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2010_164_3_a16/}
}
TY  - JOUR
AU  - S. M. Tashpulatov
TI  - Spectrum of the~energy operator of two-magnon systems in the~isotropic Heisenberg ferromagnet model with impurity
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2010
SP  - 464
EP  - 472
VL  - 164
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2010_164_3_a16/
LA  - ru
ID  - TMF_2010_164_3_a16
ER  - 
%0 Journal Article
%A S. M. Tashpulatov
%T Spectrum of the~energy operator of two-magnon systems in the~isotropic Heisenberg ferromagnet model with impurity
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2010
%P 464-472
%V 164
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2010_164_3_a16/
%G ru
%F TMF_2010_164_3_a16
S. M. Tashpulatov. Spectrum of the~energy operator of two-magnon systems in the~isotropic Heisenberg ferromagnet model with impurity. Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 3, pp. 464-472. http://geodesic.mathdoc.fr/item/TMF_2010_164_3_a16/