Title of article :
Transformation operators for the Schr¨odinger equation with a linearly increasing potential
Author/Authors :
Abbasova, Khatira E. Azerbaijan State University of Economics (UNEC), Baku, Azerbaijan , Khanmamedov, Agil Kh. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan
Abstract :
The Schr¨odinger equation with a linearly growing potential is considered. Using transformation
operators, we obtain representations of solutions of this equation with conditions at infinity. Estimates
for the kernels of the transformation operators are obtained
Keywords :
Schrodinger equation , transformation operator , Airy functions , Stark equation
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
