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 
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/
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     title = {Bound states and resonances of the energy operator of a~single-magnon spin-polaron system},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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