On the Transformation Operator for the Schrödinger Equation with an Additional Linear Potential

On the Transformation Operator for the Schrödinger Equation with an Additional Linear Potential

The paper considers the Schrödinger equation with an additional linear potential on the entire real line. A transformation operator with a condition at −∞ is constructed. The Gelfand-Levitan integral equation is obtained on the half-line (−∞, x ).

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Veröffentlicht in:Functional analysis and its applications 2020, Vol.54 (1), p.73-76
Hauptverfasser: Khanmamedov, A. Kh, Makhmudova, M. G.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Brief Communications
Functional Analysis
Integral equations
Mathematics
Mathematics and Statistics
Operators (mathematics)
Schrodinger equation
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Zusammenfassung:The paper considers the Schrödinger equation with an additional linear potential on the entire real line. A transformation operator with a condition at −∞ is constructed. The Gelfand-Levitan integral equation is obtained on the half-line (−∞, x ).
ISSN:0016-2663
1573-8485
DOI:10.1134/S0016266320010116