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Asymptotics of eigenfunctions of perturbed resonance oscillator near upper boundaries of spectral clusters

Journal of Mathematical Sciences. 2025. Vol. 291. No. 4. P. 544–553.
A. V. Pereskokov

We study the eigenvalue problem for a perturbed resonance oscillator. We find asymptotic
expansions of coherent states of the algebra su(2). We show that the asymptotic
eigenfunctions are localized near a circle and construct an expansion of asymptotic eigenfunctions
near this circle.

Research target: Mathematics Physics
Language: English
Full text
DOI
Keywords: спектральный кластерsemiclassical approximationквазиклассическое приближениевозмущенный осцилляторcoherent statesкогерентные состоянияasymptotic eigenfunctionspectral clusterperturbed oscillatorасимптотическая собственная функция
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