Spectrum and eigenfunctions of Schrödinger operator with zero-range potential of homogeneous lattice type in three-dimensional space
Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 2, pp. 304-313 Cet article a éte moissonné depuis la source Math-Net.Ru

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A study is made of the spectrum and all eigenfunctions of a Schrödinger operator with zero-range potential of the type of a homogeneous infinite rectangular lattice in three-dimensional space.
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     title = {Spectrum and eigenfunctions of {Schr\"odinger} operator with zero-range potential of homogeneous lattice type in three-dimensional space},
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Yu. E. Karpeshina. Spectrum and eigenfunctions of Schrödinger operator with zero-range potential of homogeneous lattice type in three-dimensional space. Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 2, pp. 304-313. http://geodesic.mathdoc.fr/item/TMF_1983_57_2_a13/

[1] Baz A. I., Zeldovich Ya. B., Perelomov A. M., Rasseyanie, reaktsii i raspady v nerelyativistskoi kvantovoi mekhanike, Nauka, M., 1971, 544 pp. | Zbl

[2] Demkov Yu. N., Ostrovskii V. N., Metod potentsialov nulevogo radiusa v atomnoi fizike, LGU, L., 1975, 240 pp.

[3] Goldberger M. L., Seitz F., Phys. Rev., 71:5 (1947), 294–310 | DOI | MR | Zbl

[4] Zaiman Dzh., Printsipy teorii tverdogo tela, Mir, M., 19974, 472 pp.

[5] Maleev S. V., FTT, 7:10 (1965), 2990–2994 | MR

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

[7] Akhiezer N. I., Glazman I. M., Teoriya lineinykh operatorov v gilbertovom prostranstve, Izd. 2-e, Nauka, M., 1966, 543 pp. | MR | Zbl

[8] Karpeshina Yu. E., Problemy matematicheskoi fiziki, no. 10, LGU, L., 1983, 137–163

[9] Gelfand I. M., Shilov G. E., Prostranstvo osnovnykh i obobschennykh funktsii, Fizmatgiz, M., 1958, 307 pp. | MR

[10] Gelfand I. M., DAN SSSR, 73:6 (1950), 1117–1120 | MR | Zbl