Transformation Operators for Perturbed Harmonic Oscillators

G. M. Masmaliev ; A. Kh. Khanmamedov

Matematičeskie zametki, Tome 105 (2019) no. 5, pp. 740-746.

Résumé

The equation describing a perturbed harmonic oscillator 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.

Détail

Keywords: perturbed harmonic oscillators, Schrödinger equation, transformation operator, second-order hyperbolic equation, Riemann function.

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