Spectral properties of three-electron systems in the~Hubbard model
Teoretičeskaâ i matematičeskaâ fizika, Tome 179 (2014) no. 3, pp. 387-405
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We investigate spectral properties of a three-electron system in the Hubbard model framework. We prove that the essential spectrum of the system in a quartet state consists of a single segment and the three-electron bound state is absent. We show that the essential spectrum of the system in doublet states is the union of at most three segments. We also prove that three-electron bound states exist in doublet states.
Keywords:
Hubbard model, three-electron system, quartet state, triplet state,
doublet state, singlet state, essential spectrum, discrete spectrum,
three-electron bound state, discrete Schrödinger operator.
@article{TMF_2014_179_3_a6,
author = {S. M. Tashpulatov},
title = {Spectral properties of three-electron systems in {the~Hubbard} model},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {387--405},
publisher = {mathdoc},
volume = {179},
number = {3},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2014_179_3_a6/}
}
S. M. Tashpulatov. Spectral properties of three-electron systems in the~Hubbard model. Teoretičeskaâ i matematičeskaâ fizika, Tome 179 (2014) no. 3, pp. 387-405. http://geodesic.mathdoc.fr/item/TMF_2014_179_3_a6/