@article{TMF_2017_193_2_a6,
author = {P. G. Grinevich and R. G. Novikov},
title = {Multipoint scatterers with bound states at zero energy},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {309--314},
year = {2017},
volume = {193},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2017_193_2_a6/}
}
P. G. Grinevich; R. G. Novikov. Multipoint scatterers with bound states at zero energy. Teoretičeskaâ i matematičeskaâ fizika, Tome 193 (2017) no. 2, pp. 309-314. http://geodesic.mathdoc.fr/item/TMF_2017_193_2_a6/
[1] H. Bethe, R. Peierls, “Quantum theory of the diplon”, Proc. Roy. Soc. London Ser. A, 148:863 (1935), 146–156 | DOI | Zbl
[2] E. Fermi, “Sul moto dei neutroni nelle sostanze idrogenate”, Ric. Sci., 7:2 (1936), 13–52
[3] Ya. B. Zeldovich, “Rasseyanie singulyarnym potentsialom v teorii vozmuschenii i v impulsnom predstavlenii”, ZhETF, 38:3 (1960), 819–824 | MR
[4] F. A. Berezin, L. D. Faddeev, “Zamechanie ob uravnenii Shredingera s singulyarnym potentsialom”, Dokl. AN SSSR, 137:5 (1961), 1011–1014 | MR | Zbl
[5] S. Albeverio, F. Gesztesy, R. Høegh-Krohn, H. Holden, Solvable Models in Quantum Mechanics, Texts and Monographs in Physics, Springer, New York, 1988 | DOI | MR
[6] G. Dell'Antonio, R. Figari, A. Teta, “A brief review on point interactions”, Inverse Problems and Imaging (Martina Franca, Italy, September 15–21, 2002), Lecture Notes in Mathematics, 1943, ed. L. L. Bonilla, Springer, Berlin, 2008, 171–189 | DOI | MR | Zbl
[7] N. P. Badalyan, V. A. Burov, S. A. Morozov, O. D. Rumyantseva, “Rasseyanie na akusticheskikh granichnykh rasseivatelyakh s malymi volnovymi razmerami i ikh vosstanovlenie”, Akust. zhurn., 55:1 (2009), 3–10 | DOI
[8] P. G. Grinevich, R. G. Novikov, “Faddeev eigenfunctions for multipoint potentials”, Euras. J. Math. Computer Appl., 1:2 (2013), 76–91, arXiv: 1110.3157
[9] I. A. Taimanov, S. P. Tsarev, “Dvumernye operatory Shredingera s bystro ubyvayuschim ratsionalnym potentsialom i mnogomernym $L_2$-yadrom”, UMN, 62:3(375) (2007), 217–218 | DOI | DOI | MR | Zbl