Geodesic
Structure of the essential spectrum and discrete spectrum of the energy operator of four-electron systems in the impurity Hubbard model. The third triplet state
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 3, Tome 229 (2023), pp. 53-82

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The structure of the essential spectrum and the discrete spectrum of the energy operator of four-electron systems in the Hubbard impurity model for the third triplet state of the system are examined. The following statements are proved. (a) The essential spectrum of the third triplet is the union of three segments and the discrete spectrum of the third triplet is empty. (b) The essential spectrum of the third triplet is the union of eight segments and the discrete spectrum of the third triplet consists of three eigenvalues. (c) The essential spectrum of the third triplet is the union of sixteen segments and the discrete spectrum of the third triplet consists of eleven eigenvalues.
Keywords: Hubbard model, Hubbard impurity model, four-electron system, triplet state, essential spectrum, discrete spectrum 
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     author = {S. M. Tashpulatov and R. T. Parmanova},
     title = {Structure of the essential spectrum and discrete spectrum of the energy operator of four-electron systems in the impurity {Hubbard} model. {The} third triplet state},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {53--82},
     publisher = {mathdoc},
     volume = {229},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2023_229_a6/}
}
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S. M. Tashpulatov; R. T. Parmanova. Structure of the essential spectrum and discrete spectrum of the energy operator of four-electron systems in the impurity Hubbard model. The third triplet state. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 3, Tome 229 (2023), pp. 53-82. http://geodesic.mathdoc.fr/item/INTO_2023_229_a6/