Geodesic
Bound states and resonances of the energy operator of a~single-magnon spin-polaron system
Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 3, pp. 420-424

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A spin–polaron bound state for arbitrary dimensions, and also a spin–polaron resonance – a quasistationary state – are investigated. In the case of dimensions $\nu=1$ and 2, it is shown that for all values of the total quasimomentum $\lambda$ and for arbitrary parameters of the system there exists a unique “spin–polaron” bound state. In addition, uniqueness of the physical resonance for $\nu=1$ and $A\not=0$ is proved, and for small $A\not=0$ and any dimension $\nu$ the width of the physical resonance is also found. 
@article{TMF_1991_86_3_a10,
     author = {Zh. I. Abdullaev},
     title = {Bound states and resonances of the energy operator of a~single-magnon spin-polaron system},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {420--424},
     publisher = {mathdoc},
     volume = {86},
     number = {3},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_86_3_a10/}
}
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Zh. I. Abdullaev. Bound states and resonances of the energy operator of a~single-magnon spin-polaron system. Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 3, pp. 420-424. http://geodesic.mathdoc.fr/item/TMF_1991_86_3_a10/