@article{JMAG_2013_9_2_a6,
author = {S. M. Tashpulatov},
title = {Spectrum of {Two-Magnon} {non-Heisenberg} {Ferromagnetic} {Model} of {Arbitrary} {Spin} with {Impurity}},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {239--265},
year = {2013},
volume = {9},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_2013_9_2_a6/}
}
TY - JOUR AU - S. M. Tashpulatov TI - Spectrum of Two-Magnon non-Heisenberg Ferromagnetic Model of Arbitrary Spin with Impurity JO - Žurnal matematičeskoj fiziki, analiza, geometrii PY - 2013 SP - 239 EP - 265 VL - 9 IS - 2 UR - http://geodesic.mathdoc.fr/item/JMAG_2013_9_2_a6/ LA - en ID - JMAG_2013_9_2_a6 ER -
S. M. Tashpulatov. Spectrum of Two-Magnon non-Heisenberg Ferromagnetic Model of Arbitrary Spin with Impurity. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2013) no. 2, pp. 239-265. http://geodesic.mathdoc.fr/item/JMAG_2013_9_2_a6/
[1] S. M. Tashpulatov, “One-Magnon Systems in an Isotropic non-Heisenberg Ferromagnetic Impurity Model”, Theor. Math. Phys., 142:1 (2005), 83–92 | DOI | MR | Zbl
[2] M. Reed, B. Simon, Methods of Modern Mathematical Physics, v. 1, Funct. Anal., Acad. Press, New York, 1977 | MR | Zbl
[3] V. V. Val'kov, S. G. Ovchinnikov, O. P. Petrakovskii, “Spectra of Two-Magnon System Excitations in the Easy Axis Quasidimensional Ferromagnetics”, Fiz. Tverd. Tela, 30 (1988), 3044–3047
[4] S. M. Tashpulatov, “Spectra and Bound States of the Energy Operator of Two-Magnon Systems in a Isotropic non-Heisenberg Ferromagnet with Nearest-Neighbour Interactions and Arbitrary Spin Value $S$”, Uzbek. Math. J., 2008, no. 1, 95–111 | MR | Zbl
[5] Wolters-Noordhoff, Graningen, 1970 | MR
[6] T. Ichinose, “Spectral Properties of Tensor Products of Linear Operators, 1”, Trans. Amer. Math. Soc., 235 (1978), 75–113 | DOI | MR | Zbl
[7] T. Ichinose, “Spectral Properties of Tensor Products of Linear Operators. 2: The Approximate Point Spectrum and Kato Essential Spectrum”, Trans. Amer. Math. Soc., 237 (1978), 223–254 | MR | Zbl
[8] T. Ichinose, “On the spectral properties of tensor products of linear operators in Banach spaces”, Banach Center Publications, 8, no. 1, PWN-Polish Scientific Publishers, Warsaw, 1982, 295–300 | MR
[9] H. Hochstadt, “One Dimensional Perturbations of Compact Operators”, Proc. Amer. Soc., 37 (1973), 465–467 | DOI | MR | Zbl
[10] H. Vasueda, “One Dimensional Perturbations of Compact Operators”, Proc. Amer. Soc., 57:1 (1976), 58–60 | DOI | MR
[11] S. V. Shevchenko, “About Dependence of Spectral Properties of Matrix to Relative of Perturbation with Sufficiently Low Ranks”, Funct. Anal. Appl., 38:1 (2004), 85–88 | MR