@article{TMF_2020_203_2_a8,
author = {V. V. Pupyshev},
title = {Two-dimensional low-energy scattering of a~quantum particle in the~summed field of {Coulomb} and power-law potentials},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {280--299},
year = {2020},
volume = {203},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2020_203_2_a8/}
}
TY - JOUR AU - V. V. Pupyshev TI - Two-dimensional low-energy scattering of a quantum particle in the summed field of Coulomb and power-law potentials JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2020 SP - 280 EP - 299 VL - 203 IS - 2 UR - http://geodesic.mathdoc.fr/item/TMF_2020_203_2_a8/ LA - ru ID - TMF_2020_203_2_a8 ER -
%0 Journal Article %A V. V. Pupyshev %T Two-dimensional low-energy scattering of a quantum particle in the summed field of Coulomb and power-law potentials %J Teoretičeskaâ i matematičeskaâ fizika %D 2020 %P 280-299 %V 203 %N 2 %U http://geodesic.mathdoc.fr/item/TMF_2020_203_2_a8/ %G ru %F TMF_2020_203_2_a8
V. V. Pupyshev. Two-dimensional low-energy scattering of a quantum particle in the summed field of Coulomb and power-law potentials. Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 2, pp. 280-299. http://geodesic.mathdoc.fr/item/TMF_2020_203_2_a8/
[1] M. V. Fedoryuk, Asimptotika: integraly i ryady, Knizhnyi dom “LIBROKOM”, M., 2009
[2] M. V. Fedoryuk, Asimtoticheskie metody dlya lineinykh obyknovennykh differentsialnykh uravnenii, Nauka, M., 1983 | MR | Zbl
[3] G. Barton, “Rutherford scattering in two dimensions”, Amer. J. Phys., 51:5 (1983), 420–422 | DOI
[4] D. Yafaev, “On the classical and quantum Coulomb scattering”, J. Phys. A: Math. Gen., 30:19 (1997), 6981–6992 | DOI | MR
[5] V. V. Pupyshev, “Dvumernoe kulonovskoe rasseyanie kvantovoi chastitsy: stroenie radialnykh volnovykh funktsii”, TMF, 186:1 (2016), 123–141 | DOI | DOI | MR
[6] V. V. Pupyshev, “Dvumernoe kulonovskoe rasseyanie kvantovoi chastitsy: volnovye funktsii i funktsii Grina”, TMF, 186:2 (2016), 252–271 | DOI | DOI | MR
[7] V. V. Pupyshev, “Dvumernoe kulonovskoe rasseyanie kvantovoi chastitsy: nizkoenergeticheskie asimptotiki”, TMF, 188:1 (2016), 49–75 | DOI | DOI | MR
[8] V. V. Pupyshev, “Dvumernoe dvizhenie medlennoi kvantovoi chastitsy v pole tsentralnogo dalnodeistvuyuschego potentsiala”, TMF, 199:3 (2019), 405–428 | DOI | DOI
[9] A. A. Kvitsinskii, “Rasseyanie pri nizkikh energiyakh na potentsialakh, soderzhaschikh stepennye popravki k kulonovskomu vzaimodeistviyu”, TMF, 65:2 (1985), 226–237 | DOI | MR
[10] H. Friedrich, Scattering Theory, Lecture Notes in Physics, 872, Springer, Berlin, 2013 | DOI | MR
[11] A. P. Prudnikov, Yu. A. Brychkov, O. I. Marichev, Integraly i ryady, v. 1, Elementarnye funktsii, Nauka, M., 1981 | MR | MR | Zbl
[12] A. P. Prudnikov, Yu. A. Brychkov, O. I. Marichev, Integraly i ryady, v. 3, Spetsialnye funktsii, Nauka, M., 1983 | MR
[13] G. Beitmen, A. Erdeii, Vysshie transtsendentnye funktsii, v. 1, Gipergeometricheskaya funktsiya. Funktsii Lezhandra, Nauka, M., 1973 | MR | Zbl
[14] R. F. Dashen, “Some extentions of the Born approximation for phase shifts”, Nuovo Cimento, 28:2 (1963), 229–239 | DOI | MR