The model of scattering of neutral quantum particle on a non-stationary curve
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 3 (2013), pp. 85-89 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The model describing the scattering of neutral quantum massive particle on the evolving curve has been constructed by methods of non-relativistic scattering theory. The first “dynamical” correction for scattering wave function has been calculated for the case of small non-stationary perturbation of straight line.
Keywords: separable potential, non-stationary Schrödinger equation.
@article{VSGU_2013_3_a9,
     author = {E. A. Vedutenko and S. V. Talalov},
     title = {The model of scattering of neutral quantum particle on a non-stationary curve},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {85--89},
     year = {2013},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2013_3_a9/}
}
TY  - JOUR
AU  - E. A. Vedutenko
AU  - S. V. Talalov
TI  - The model of scattering of neutral quantum particle on a non-stationary curve
JO  - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
PY  - 2013
SP  - 85
EP  - 89
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/VSGU_2013_3_a9/
LA  - ru
ID  - VSGU_2013_3_a9
ER  - 
%0 Journal Article
%A E. A. Vedutenko
%A S. V. Talalov
%T The model of scattering of neutral quantum particle on a non-stationary curve
%J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
%D 2013
%P 85-89
%N 3
%U http://geodesic.mathdoc.fr/item/VSGU_2013_3_a9/
%G ru
%F VSGU_2013_3_a9
E. A. Vedutenko; S. V. Talalov. The model of scattering of neutral quantum particle on a non-stationary curve. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 3 (2013), pp. 85-89. http://geodesic.mathdoc.fr/item/VSGU_2013_3_a9/

[1] Nyuton R., Teoriya rasseyaniya voln i chastits, Mir, M., 1969, 608 pp.

[2] Rid M., Saimon B., Metody sovremennoi matematicheskoi fiziki, v. 2, Mir, M., 1978, 396 pp.

[3] Talalov S. V., “About the mechanism of matter transfer along the cosmic string”, Modern Physics Letters A, 27:8 (2012), 1250048-1–1250048-5 | DOI

[4] Berezin F., Faddeev L. D., “Zamechanie ob uravnenii Shredingera s singulyarnym potentsialom”, Doklady AN SSSR, 137:5 (1961), 1011–1014 | MR | Zbl

[5] Vedutenko E. A., Talalov S. V., “O rasseyanii massivnykh neitralnykh chastits na nanostrukturakh”, Vestnik Samarskogo gosudarstvennogo universiteta, 2007, no. 9/1, 247–255 | MR

[6] Shondin Yu. G., “O poluogranichennosti $\delta$-vozmuschenii opratora Laplasa s uglovymi tochkami”, Teor. i matem. fizika, 105:1 (1995), 3–17