Inverse scattering problem for the Schrödinger equation with an additional increasing potential on the line

Abstract We study the Schrödinger equation with a potential that increases without bound at %$+\infty%$ and vanishes at %$-\infty%$. We explore the direct and inverse scattering problems using the transformation operator method. The basic integral equations of the inverse problem are obtained. The b...
Ausführliche Beschreibung

Gespeichert in:
Autor*in:

Khanmamedov, A. Kh. [verfasserIn]

Orudzhev, D. G.

Format:

E-Artikel

Sprache:

Englisch

Erschienen:

2023

Schlagwörter:

Schrödinger equation

harmonic oscillator

scattering data

inverse scattering problem

basic integral equations

Anmerkung:

© Pleiades Publishing, Ltd. 2023

Übergeordnetes Werk:

Enthalten in: Theoretical and mathematical physics - New York, NY [u.a.] : Consultants Bureau, 1969, 216(2023), 1 vom: Juli, Seite 1010-1023

Übergeordnetes Werk:

volume:216 ; year:2023 ; number:1 ; month:07 ; pages:1010-1023

Links:

Volltext

DOI / URN:

10.1134/S0040577923070085

Katalog-ID:

SPR052350967

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