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Matematicheskie Zametki, 2019, Volume 105, Issue 5, Pages 740–746
DOI: https://doi.org/10.4213/mzm11774
(Mi mzm11774)
 

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
Full-text PDF (434 kB) Citations (3)
References:
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
English version:
Mathematical Notes, 2019, Volume 105, Issue 5, Pages 728–733
DOI: https://doi.org/10.1134/S0001434619050092
Bibliographic databases:
Document Type: Article
UDC: 517.91
Language: Russian
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
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm11774
  • https://www.mathnet.ru/eng/mzm/v105/i5/p740
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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