ON THE INVERSE PROBLEM FOR A SCHRODINGER EQUATION WITH AN ADDITIONAL LINEAR POTENTIAL
Keywords:
Schrodinger equation, additional linear potential, Airy functions, transformation operator, inverse problem, main equationAbstract
The paper considers the Schrodinger equation with an additional linear potential on the entire axis. The transformation operator with the condition at -∞ is constructed. The Gelfand-Levitan integral equation is obtained on the semi axis (- ∞, x).