Geodesic
Elementary excitations in the Anderson–Hubbard model
Teoretičeskaâ i matematičeskaâ fizika, Tome 47 (1981) no. 3, pp. 425-430 
A. V. Vedyaev; V. A. Ivanov. Elementary excitations in the Anderson–Hubbard model. Teoretičeskaâ i matematičeskaâ fizika, Tome 47 (1981) no. 3, pp. 425-430. http://geodesic.mathdoc.fr/item/TMF_1981_47_3_a13/
@article{TMF_1981_47_3_a13,
     author = {A. V. Vedyaev and V. A. Ivanov},
     title = {Elementary excitations in the {Anderson{\textendash}Hubbard} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {425--430},
     year = {1981},
     volume = {47},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_47_3_a13/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The dispersion Iaw of long-wavelength spin-wave Bose excitations in a paramagnetic metal described by the Hubbard model is obtained from the equation for the scattering amplitude of electrons and holes with opposite spins. The effective exchange interaction that determines the behavior of these excitations is expressed in terms of the parameters of the model.

[1] Landau L. D., “Teoriya fermi-zhidkosti”, ZhETF, 80 (1956), 1058–1064

[2] Luttinger J. M., “Fermi surface and some equilibrium Properties of a system of interacting”, Phys. Rev., 119:4 (1960), 1153–1163 | DOI | MR | Zbl

[3] Anderson P. W., “Localized magnetic states in Metalls”, Phys. Rev., 124 (1961), 41–65 | DOI | MR

[4] Hubbard J., “Electron correlations in narrow energy bands”, Proc. Roy. Soc., A276 (1963), 238–251 ; A277 (1964), 237–259 ; A285 (1965), 542–560 | DOI | DOI | DOI | MR

[5] Zaitsev R. O., “Diagrammnaya tekhnika i gazovoe priblizhenie v modeli Khabbarda”, ZhETF, 70:3 (1976), 1100–1111

[6] Gaudin M., “Une demonstration simplifie du theme de Wick en mechanique statistique”, Nucl. Phys., 15 (1960), 89–91 | DOI | MR | Zbl

[7] Kadanov L., Beim G., Kvantovaya statisticheskaya mekhanika, Mir, M., 1964