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

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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.

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

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