Point interaction of two distinguishable particles in an external field
Teoretičeskaâ i matematičeskaâ fizika, Tome 125 (2000) no. 1, pp. 74-90
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We consider a point interaction model for two particles in an external field, which is similar to the Skornyakov–Ter-Martirosyan model and is treated using the theory of self-adjoint extensions of symmetric operators. The corresponding energy operator has an infinite set of bound states with the energy values receding to $-\infty$.
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M. Kh. Shermatov. Point interaction of two distinguishable particles in an external field. Teoretičeskaâ i matematičeskaâ fizika, Tome 125 (2000) no. 1, pp. 74-90. http://geodesic.mathdoc.fr/item/TMF_2000_125_1_a2/

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

[2] N. I. Akhiezer, I. M. Glazman, Teoriya lineinykh operatorov v gilbertovom prostranstve, Nauka, M., 1966 | MR | Zbl

[3] R. A. Minlos, L. D. Faddeev, DAN SSSR, 141:6 (1961), 1335–1338

[4] R. A. Minlos, L. D. Faddeev, ZhETF, 41:12 (1961), 1850–1851

[5] G. V. Skornyakov, K. A. Ter-Martirosyan, ZhETF, 31:5 (1956), 775–790 | Zbl

[6] G. S. Danilov, ZhETF, 40:2 (1961), 498–507 | MR | Zbl

[7] R. A. Minlos, M. Kh. Shermatov, Vestn. MGU. Ser. 1, 1989, no. 6, 7–14 | MR | Zbl

[8] A. M. Mel'nikov, R. A. Minlos, Adv. Sov. Math., 5 (1991), 99–112 | Zbl

[9] M. Sh. Birman, Matem. sb., 38:4 (1956), 431–450 | MR | Zbl

[10] I. M. Gelfand, R. A. Minlos, Z. Ya. Shapiro, Predstavlenie gruppy vraschenii i gruppy Lorentsa, ikh primeneniya, Fizmatgiz, M., 1958 | MR | Zbl

[11] K. Gofman, Banakhovy prostranstva analiticheskikh funktsii, IL, M.–L., 1963