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

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Asymptotics of Eigenfunctions of Perturbed Resonance Oscillator Near Upper Boundaries of Spectral Clusters

  • 期刊论文

  • 发表日期：

    2025年7月17日

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  • A. V. Pereskokov

摘要

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.