Geodesic
Note on estimating the width of lower energy bands in a periodic potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 3, pp. 418-420 Cet article a éte moissonné depuis la source Math-Net.Ru

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Majorizing estimate af the width of lower energetic zones in periodic potential is obtained. 
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     author = {A. A. Arsen'ev},
     title = {Note on estimating the width of lower energy bands in a periodic potential},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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A. A. Arsen'ev. Note on estimating the width of lower energy bands in a periodic potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 3, pp. 418-420. http://geodesic.mathdoc.fr/item/TMF_1975_23_3_a14/

[1] T. Kato, Teoriya vozmuschenii lineinykh operatorov, «Mir», 1972 | MR | Zbl

[2] A. A. Arsenev, Singulyarnye potentsialy i rezonansy, Izd-vo MGU, 1974 | MR