Transformation operator for the Schrodinger equation with additional exponential potential

Author:

Khanmamedov A. K.1,Muradov M. F.2

Affiliation:

1. Baku State University; Institute of Mathematics and Mechanics Azerbaijan National Academy of Sciences,

2. Baku State University

Abstract

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

Publisher

Kazan Federal University

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference16 articles.

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2. Marchenko V.A. Nekotorye voprosy teorii differentsial'nogo operatora vtorogo poryadka, DAN SSSR 72 (3), 457–460 (1950).

3. Povzner A.Ya. O differentsial'nykh uravneniyakh tipa Shturma–Liuvillya na poluosi, Matem. sb. 65 (1), 3–52 (1948).

4. Levin B.Ya. Preobrazovaniya tipa Fur'e i Laplasa pri pomoshchi reshenii differentsial'nogo uravneniya vtorogo poryadka, Dokl. AN SSSR 106, 187–190 (1956).

5. Marchenko V.A. Operatory Shturma–Liuvillya i ikh prilozheniya (Nauk. dumka, Kiev, 1977).

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