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TMF, 1991, Volume 86, Number 3, Pages 420–424 (Mi tmf5458)  

Bound states and resonances of the energy operator of a single-magnon spin-polaron system

Zh. I. Abdullaev


Abstract: 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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English version:
Theoretical and Mathematical Physics, 1991, 86:3, 289–292

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Received: 06.06.1990

Citation: Zh. I. Abdullaev, “Bound states and resonances of the energy operator of a single-magnon spin-polaron system”, TMF, 86:3 (1991), 420–424; Theoret. and Math. Phys., 86:3 (1991), 289–292

Citation in format AMSBIB
\Bibitem{Abd91}
\by Zh.~I.~Abdullaev
\paper Bound states and resonances of the energy operator of a~single-magnon spin-polaron system
\jour TMF
\yr 1991
\vol 86
\issue 3
\pages 420--424
\mathnet{http://mi.mathnet.ru/tmf5458}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1107941}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 86
\issue 3
\pages 289--292
\crossref{https://doi.org/10.1007/BF01028427}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1991GJ55400011}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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