Geodesic
Transformation operator for the Schrodinger equation with additional exponential potential
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2023), pp. 76-84

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we consider the one-dimensional Schrodinger equation on the semiaxis with an additional exponential potential. Using transformation operators with the asymptotics at infinity, a triangular representation of a special solution of this equation is found. An estimate is obtained with respect to the kernel of the representation.
Keywords: Schrödinger equation, transformation operator, triangular representation, second-order hyperbolic equation, Riemann function. 
@article{IVM_2023_9_a5,
     author = {A. Kh. Khanmamedov and M. F. Muradov},
     title = {Transformation operator for the {Schrodinger} equation with additional exponential potential},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {76--84},
     publisher = {mathdoc},
     number = {9},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_9_a5/}
}
TY  - JOUR
AU  - A. Kh. Khanmamedov
AU  - M. F. Muradov
TI  - Transformation operator for the Schrodinger equation with additional exponential potential
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2023
SP  - 76
EP  - 84
IS  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2023_9_a5/
LA  - ru
ID  - IVM_2023_9_a5
ER  - 
%0 Journal Article
%A A. Kh. Khanmamedov
%A M. F. Muradov
%T Transformation operator for the Schrodinger equation with additional exponential potential
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2023
%P 76-84
%N 9
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2023_9_a5/
%G ru
%F IVM_2023_9_a5
A. Kh. Khanmamedov; M. F. Muradov. Transformation operator for the Schrodinger equation with additional exponential potential. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2023), pp. 76-84. http://geodesic.mathdoc.fr/item/IVM_2023_9_a5/