Geodesic
Electron in a homogeneous crystal of point atoms with internal structure. I
Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 3, pp. 403-415 Cet article a éte moissonné depuis la source Math-Net.Ru

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Spectrum analysis of the Schrödinger operator is performed for the zero-range potential of the three-dimensional lattice type in the presence of internal structure. Inversion formulas are pointed out in which the quasi-momentum plays the part of spectrum analysis. 
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B. S. Pavlov. Electron in a homogeneous crystal of point atoms with internal structure. I. Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 3, pp. 403-415. http://geodesic.mathdoc.fr/item/TMF_1987_72_3_a7/

[1] Yastrebov L. N., Katsnelson A. A., Osnovy odnoelektronnoi teorii tverdogo tela, Nauka, M., 1981

[2] Goldberger M. L., Seitz F., Phys. Rev., 71 (1947), 294–310 | DOI | MR | Zbl

[3] Maleev S. V., FTT, 7 (1965), 2990–2994 | MR

[4] Subramanyan R., Nekotorye prilozheniya metoda potentsialov malogo radiusa v kvantovoi mekhanike, Avtoref. dis. na soiskanie uch. st. kand. fiz.-matem. nauk, LGU, L., 1968

[5] Karpeshina Yu. E., Issledovanie volnovykh protsessov v oblastyakh s nekomplektnymi vklyucheniyami, Avtoref. dis. na soiskanie uch. st. kand. fiz.-matem. nauk, LGU, L., 1984

[6] Fermi E., Nuovo Cim., 11 (1934), 157–166 | DOI | Zbl

[7] Demkov Yu. N., Ostrovskii V. N., Metod potentsialov nulevogo radiusa v atomnoi fizike, LGU, L., 1975

[8] Berezin F. A., Faddeev L. D., DAN SSSR, 137:5 (1961), 1011–1014 | MR | Zbl

[9] Pavlov B. S., TMF, 59:3 (1984), 345–353 | MR

[10] Shirokov Yu. M., TMF, 40:3 (1979), 348–354 | MR | Zbl

[11] Shondin Yu. G., TMF, 64:3 (1985), 432–441 | MR

[12] Pavlov B. S., Cheremshantsev S. E., Rezonansy i zapreschennye scheli, Preprint LOMI R-15-85, LOMI, L., 1985

[13] Pavlov B. S., Smirnov N. V., Problemy matematicheskoi fiziki, no. 12, LGU, L., 1986, 155–164

[14] Dalidchik F. I., Slonim V. Z., Pisma v ZhETF, 31:1 (1980), 122–126

[15] Titchmarsh E. Ch., Razlozheniya po sobstvennym funktsiyam, svyazannye s differentsialnymi uravneniyami vtorogo poryadka, Ch. 1, IL, M., 1960 | MR

[16] Adamyan V. M., Pavlov B. S., Zap. nauchn. semin. LOMI, 149, no. 15, 1986, 7–23 | MR