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

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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. 
@article{TMF_1992_92_2_a5,
     author = {R. A. Minlos},
     title = {Lower branch of the spectrum of a~fermion interacting with a~bosonic gas (polaron)},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {255--268},
     publisher = {mathdoc},
     volume = {92},
     number = {2},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_92_2_a5/}
}
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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/