|
This article is cited in 3 scientific papers (total 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.
Received: 21.08.2017 Revised: 20.02.2018
Citation:
G. M. Masmaliev, A. Kh. Khanmamedov, “Transformation Operators for Perturbed Harmonic Oscillators”, Mat. Zametki, 105:5 (2019), 740–746; Math. Notes, 105:5 (2019), 728–733
Linking options:
https://www.mathnet.ru/eng/mzm11774https://doi.org/10.4213/mzm11774 https://www.mathnet.ru/eng/mzm/v105/i5/p740
|
Statistics & downloads: |
Abstract page: | 337 | Full-text PDF : | 37 | References: | 37 | First page: | 26 |
|