Geodesic
Lower branch of the spectrum of a fermion interacting with a bosonic gas (polaron)
Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 2, pp. 255-268 
R. A. Minlos. Lower branch of the spectrum of a fermion interacting with a bosonic gas (polaron). Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 2, pp. 255-268. http://geodesic.mathdoc.fr/item/TMF_1992_92_2_a5/
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     author = {R. A. Minlos},
     title = {Lower branch of the spectrum of a~fermion interacting with a~bosonic gas (polaron)},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1992_92_2_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The lower single-particle bound state of a fermion interacting with a bosonic gas is studied. In the case of a small coupling constant, the employed method makes it possible to improve significantly the accuracy of the previously known results on the polaron branch of the spectrum. The results give a hint that in one-and two-dimensional systems there may exist an excited polaron state with small value of the momentum.

[1] Feinman R., Statisticheskaya mekhanika, Mir, M., 1978

[2] Berezin F. A., Metod vtorichnogo kvantovaniya, Nauka, M., 1965 | MR

[3] Spohn H., J. Phys. A, 21 (1988), 1199 | DOI | MR

[4] Gerlach B., Löwen, Rev. Mod. Phys., 63:1, 60–91 | MR

[5] Mamatov S. I., Minlos R. A., TMF, 79:2 (1989), 163–179 | MR

[6] Boldrighini C., Minlos R. A., Pellegrinotti A., Interacting random walks in a dynamical random environment, preprint CAPR, Reports in Math. Phys., Rome, 1992 | MR