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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2019 Volume 105, Issue 5, Pages 740–746 (Mi mzm11774)
This article is cited in 3 papers

Transformation Operators for Perturbed Harmonic Oscillators

G. M. Masmalievab, A. Kh. Khanmamedovabc

a Baku State University
b Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
c Azerbaijan University

Abstract: 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.

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

UDC: 517.91

Received: 21.08.2017
Revised: 20.02.2018

DOI: 10.4213/mzm11774


 English version: Mathematical Notes, 2019, 105:5, 728–733

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© Steklov Math. Inst. of RAS, 2024