Essays on the spectral properties of the polynomially perturbed Hermite operator

UDC 519.624.2 We study spectral properties of a polynomially perturbed Hermite operator and deduce the formulas allowing one to find the eigenvalues of this operator by using only elementary algebraic operations.

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Datum:2024
Hauptverfasser: Makarov, V., Makarov, V. L., Макаров, Володимир
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2024
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/7811
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:UDC 519.624.2 We study spectral properties of a polynomially perturbed Hermite operator and deduce the formulas allowing one to find the eigenvalues of this operator by using only elementary algebraic operations.
DOI:10.3842/umzh.v74i4.7811