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@article{DVMG_2023_23_1_a9, author = {S. M. Tashpulatov}, title = {Structure of essential spectrum and discrete spectra of the}, journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal}, pages = {112--133}, publisher = {mathdoc}, volume = {23}, number = {1}, year = {2023}, language = {en}, url = {http://geodesic.mathdoc.fr/item/DVMG_2023_23_1_a9/} }
S. M. Tashpulatov. Structure of essential spectrum and discrete spectra of the. Dalʹnevostočnyj matematičeskij žurnal, Tome 23 (2023) no. 1, pp. 112-133. http://geodesic.mathdoc.fr/item/DVMG_2023_23_1_a9/
[1] J. Hubbard, “Electron Correlations in Narrow Energy Bands”, Proc. Roy. Soc. A., 276 (1963), 238–257 | MR
[2] M. C. Gutzwiller, “Effect of correlation on the ferromagnetism of transition metals”, Phys. Rev. Lett., 10 (1963), 159–162 | DOI
[3] J. Kanamori, “Electron correlation and ferromagnetism of transition metals”, Prog. Theor. Phys., 30 (1963), 275–289 | DOI | Zbl
[4] P. W. Anderson, “Localized Magnetic States in Metals”, Phys. Rev., 124 (1961), 41–53 | DOI | MR
[5] S. P. Shubin, S. V. Wonsowsky, “On the electron theory of metals”, Proc. Roy. Soc. A., 145 (1934), 159–180
[6] U. A. Izyumov, Yu. N. Skryabin, Statistical Mechanics of Magnetically Ordered Systems, v. 4, Nauka, M., 1987 | MR
[7] B. V. Karpenko, V. V. Dyakin, G. L. Budrina, “Two electrons in the Hubbard Model”, Phys. Met. Metallogr., 61 (1986), 702–706
[8] E. Lieb, “Two theorems on the Hubbard model”, Phys. Rev. Lett., 62 (1989), 1201–1204 | DOI | MR
[9] D. Mattis, “The few-body problems on a lattice”, Rev. Mod. Phys., 58 (1986), 370–379 | DOI | MR
[10] A. M. Tsvelick, P. B. Wiegman, “Exact results in the theory of magnetic alloys”, Adv. Phys., 32 (1983), 453–713 | DOI | MR
[11] S. M. Tashpulatov, “Spectral properties of three-electron systems in the Hubbard Model”, Theoretical and Mathematical Physics, 179:3 (2014), 712–728 | DOI | MR | Zbl
[12] S. M. Tashpulatov, “Spectra of the energy operator of four-electron systems in the triplet state in the Hubbard Model”, Journal of Physics: Conference Series, 697 (2016), 012025 | MR
[13] S. M. Tashpulatov, “The structure of essential spectra and discrete spectrum of four-electron systems in the Hubbard model in a singlet state”, Lobachevskii Journal of Mathematics, 38:3 (2017), 530–541 | DOI | MR | Zbl
[14] M. Reed, B. Simon, Methods of Modern Mathetical Physics, v. 1, Functional Analysis, Acad. Press, New York, 1978 | MR
[15] M. A. Naimark, Normed Rings, Nauka, Moscow, 1968 | MR
[16] V. V. Val’kov, S. G. Ovchinnikov, O. P. Petrakovskii, “The excitation spectra of two-magnon systems in easy-axis quasidimensional ferromagnets”, Sov. Phys. Solid State., 30 (1988), 3044–3047
[17] T. Ichinose, “Spectral properties of tensor products of linear operators, 1”, Trans. Am. Math. Soc., 235 (1978), 75–113 | DOI | MR | Zbl
[18] T. Ichinose, “Spectral properties of tensor products of linear operators, 2: The approximate point spectrum and Kato essential spectrum”, Trans. Am. Math. Soc., 237 (1978), 223–254 | MR | Zbl
[19] T. Ichinose, Tensor products of linear operators. Spectral Theory, v. 8, Banach Center Publ. PWN-Polish Scientific Publishers, Warsaw, 1982, 300 pp.