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TMF, 2005, Volume 142, Number 1, Pages 83–92 (Mi tmf1768)  

This article is cited in 2 scientific papers (total in 2 papers)

One-magnon systems in an isotropic non-Heisenberg ferromagnetic impurity model

S. M. Tashpulatov

Institute of Nuclear Physics, Academy of Sciences of Uzbekistan

Abstract: 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

DOI: https://doi.org/10.4213/tmf1768

Full text: PDF file (219 kB)
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English version:
Theoretical and Mathematical Physics, 2005, 142:1, 71–78

Bibliographic databases:

Received: 07.06.2004

Citation: S. M. Tashpulatov, “One-magnon systems in an isotropic non-Heisenberg ferromagnetic impurity model”, TMF, 142:1 (2005), 83–92; Theoret. and Math. Phys., 142:1 (2005), 71–78

Citation in format AMSBIB
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\by S.~M.~Tashpulatov
\paper One-magnon systems in an isotropic non-Heisenberg ferromagnetic impurity model
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\pages 83--92
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\elib{http://elibrary.ru/item.asp?id=9135936}
\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 142
\issue 1
\pages 71--78
\crossref{https://doi.org/10.1007/s11232-005-0065-2}
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  • https://doi.org/10.4213/tmf1768
  • http://mi.mathnet.ru/eng/tmf/v142/i1/p83

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Tashpulatov S.M., “Spectra and Local Impurity States of One-Magnon Systems in an Anisotropic Non-Heisenberg Ferromagnetic Impurity Model”, Applied Mathematics & Information Sciences, 1:3 (2007), 247–262  mathscinet  zmath  isi
    2. S. M. Tashpulatov, “Spectrum of Two-Magnon non-Heisenberg Ferromagnetic Model of Arbitrary Spin with Impurity”, Zhurn. matem. fiz., anal., geom., 9:2 (2013), 239–265  mathnet  mathscinet
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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